id sid tid token lemma pos cana-5709 1 1 communications communication NOUN cana-5709 1 2 on on ADP cana-5709 1 3 applied apply VERB cana-5709 1 4 nonlinear nonlinear ADJ cana-5709 1 5 analysis analysis NOUN cana-5709 1 6 issn issn NOUN cana-5709 1 7 : : PUNCT cana-5709 1 8 1074 1074 NUM cana-5709 1 9 - - PUNCT cana-5709 1 10 133x 133x NUM cana-5709 1 11 vol vol VERB cana-5709 1 12 32 32 NUM cana-5709 1 13 no no NOUN cana-5709 1 14 . . PUNCT cana-5709 2 1 10s 10 NOUN cana-5709 2 2 ( ( PUNCT cana-5709 2 3 2025 2025 NUM cana-5709 2 4 ) ) PUNCT cana-5709 2 5 2684 2684 NUM cana-5709 2 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 3 1 an an DET cana-5709 3 2 analytical analytical ADJ cana-5709 3 3 and and CCONJ cana-5709 3 4 numerical numerical PROPN cana-5709 3 5 simulation simulation NOUN cana-5709 3 6 of of ADP cana-5709 3 7 fuzzy fuzzy ADJ cana-5709 3 8 delay delay NOUN cana-5709 3 9 differential differential ADJ cana-5709 3 10 equation equation NOUN cana-5709 3 11 model model NOUN cana-5709 3 12 of of ADP cana-5709 3 13 hiv hiv PROPN cana-5709 3 14 infection infection NOUN cana-5709 3 15 of of ADP cana-5709 3 16 cd4+t cd4+t ADJ cana-5709 3 17 - - PUNCT cana-5709 3 18 cells cell NOUN cana-5709 3 19 t.muthukumar1 t.muthukumar1 ADJ cana-5709 3 20 , , PUNCT cana-5709 3 21 r.ramesh2βˆ— r.ramesh2βˆ— ADJ cana-5709 3 22 , , PUNCT cana-5709 3 23 l.chitra3 l.chitra3 PROPN cana-5709 3 24 , , PUNCT cana-5709 3 25 c. c. PROPN cana-5709 3 26 kothai kothai PROPN cana-5709 3 27 andal4 andal4 PROPN cana-5709 3 28 , , PUNCT cana-5709 3 29 k. k. PROPN cana-5709 3 30 kalaiselvi5 kalaiselvi5 PROPN cana-5709 4 1 1,2,5department 1,2,5department NUM cana-5709 4 2 of of ADP cana-5709 4 3 mathematics mathematics PROPN cana-5709 4 4 dr.mahalingam dr.mahalingam ADP cana-5709 4 5 college college NOUN cana-5709 4 6 of of ADP cana-5709 4 7 engineering engineering NOUN cana-5709 4 8 and and CCONJ cana-5709 4 9 technology technology NOUN cana-5709 4 10 , , PUNCT cana-5709 4 11 pollachi-642 pollachi-642 ADJ cana-5709 4 12 003 003 NUM cana-5709 4 13 , , PUNCT cana-5709 4 14 tamilnadu tamilnadu ADJ cana-5709 4 15 , , PUNCT cana-5709 4 16 india india PROPN cana-5709 4 17 . . PUNCT cana-5709 5 1 vtmuthukumar@gmail.com vtmuthukumar@gmail.com X cana-5709 6 1 3department 3department NUM cana-5709 6 2 of of ADP cana-5709 6 3 electrical electrical ADJ cana-5709 6 4 and and CCONJ cana-5709 6 5 electronics electronic NOUN cana-5709 6 6 engineering engineering NOUN cana-5709 6 7 , , PUNCT cana-5709 6 8 dr.mahalingam dr.mahalingam ADP cana-5709 6 9 college college NOUN cana-5709 6 10 of of ADP cana-5709 6 11 engineering engineering NOUN cana-5709 6 12 and and CCONJ cana-5709 6 13 technology technology NOUN cana-5709 6 14 , , PUNCT cana-5709 6 15 pollachi-642 pollachi-642 ADJ cana-5709 6 16 003 003 NUM cana-5709 6 17 , , PUNCT cana-5709 6 18 tamilnadu tamilnadu ADJ cana-5709 6 19 , , PUNCT cana-5709 6 20 india india PROPN cana-5709 6 21 . . PUNCT cana-5709 7 1 4department 4department NUM cana-5709 7 2 of of ADP cana-5709 7 3 electrical electrical ADJ cana-5709 7 4 and and CCONJ cana-5709 7 5 electronics electronic NOUN cana-5709 7 6 engineering engineering NOUN cana-5709 7 7 , , PUNCT cana-5709 7 8 amc amc PROPN cana-5709 7 9 engineering engineering PROPN cana-5709 7 10 college college PROPN cana-5709 7 11 , , PUNCT cana-5709 7 12 bengaluru bengaluru PROPN cana-5709 7 13 , , PUNCT cana-5709 7 14 karnataka karnataka PROPN cana-5709 7 15 , , PUNCT cana-5709 7 16 india india PROPN cana-5709 7 17 . . PUNCT cana-5709 8 1 * * PUNCT cana-5709 8 2 corresponds correspond NOUN cana-5709 8 3 : : PUNCT cana-5709 8 4 rameshwaran141@gmail.com rameshwaran141@gmail.com X cana-5709 8 5 article article NOUN cana-5709 8 6 history history NOUN cana-5709 8 7 : : PUNCT cana-5709 8 8 received receive VERB cana-5709 8 9 : : PUNCT cana-5709 8 10 12 12 NUM cana-5709 8 11 - - SYM cana-5709 8 12 01 01 NUM cana-5709 8 13 - - PUNCT cana-5709 8 14 2025 2025 NUM cana-5709 8 15 revised revise VERB cana-5709 8 16 : : PUNCT cana-5709 8 17 15 15 NUM cana-5709 8 18 - - NUM cana-5709 8 19 02 02 NUM cana-5709 8 20 - - PUNCT cana-5709 8 21 2025 2025 NUM cana-5709 8 22 accepted accept VERB cana-5709 8 23 : : PUNCT cana-5709 8 24 01 01 NUM cana-5709 8 25 - - SYM cana-5709 8 26 03 03 NUM cana-5709 8 27 - - PUNCT cana-5709 8 28 2025 2025 NUM cana-5709 8 29 abstract abstract NOUN cana-5709 8 30 : : PUNCT cana-5709 8 31 a a DET cana-5709 8 32 new new ADJ cana-5709 8 33 fuzzy fuzzy ADJ cana-5709 8 34 mathematical mathematical ADJ cana-5709 8 35 model model NOUN cana-5709 8 36 of of ADP cana-5709 8 37 hiv hiv PROPN cana-5709 8 38 infection infection NOUN cana-5709 8 39 of of ADP cana-5709 8 40 cd4 cd4 PROPN cana-5709 8 41 + + PROPN cana-5709 8 42 t t PROPN cana-5709 8 43 - - PUNCT cana-5709 8 44 cells cell NOUN cana-5709 8 45 consisting consist VERB cana-5709 8 46 of of ADP cana-5709 8 47 fuzzy fuzzy ADJ cana-5709 8 48 delay delay NOUN cana-5709 8 49 differential differential ADJ cana-5709 8 50 equations equation NOUN cana-5709 8 51 ( ( PUNCT cana-5709 8 52 fddes fdde NOUN cana-5709 8 53 ) ) PUNCT cana-5709 8 54 has have AUX cana-5709 8 55 been be AUX cana-5709 8 56 suggested suggest VERB cana-5709 8 57 with with ADP cana-5709 8 58 the the DET cana-5709 8 59 appropriate appropriate ADJ cana-5709 8 60 theory theory NOUN cana-5709 8 61 and and CCONJ cana-5709 8 62 analysis analysis NOUN cana-5709 8 63 . . PUNCT cana-5709 9 1 in in ADP cana-5709 9 2 this this DET cana-5709 9 3 fuzzy fuzzy ADJ cana-5709 9 4 dynamical dynamical ADJ cana-5709 9 5 system system NOUN cana-5709 9 6 , , PUNCT cana-5709 9 7 we we PRON cana-5709 9 8 consider consider VERB cana-5709 9 9 three three NUM cana-5709 9 10 equations equation NOUN cana-5709 9 11 having have VERB cana-5709 9 12 parameters parameter NOUN cana-5709 9 13 uninfected uninfected ADJ cana-5709 9 14 , , PUNCT cana-5709 9 15 viral viral ADJ cana-5709 9 16 and and CCONJ cana-5709 9 17 infected infected ADJ cana-5709 9 18 cells cell NOUN cana-5709 9 19 . . PUNCT cana-5709 10 1 therefore therefore ADV cana-5709 10 2 , , PUNCT cana-5709 10 3 utilizing utilize VERB cana-5709 10 4 a a DET cana-5709 10 5 fuzzy fuzzy ADJ cana-5709 10 6 dynamical dynamical ADJ cana-5709 10 7 system system NOUN cana-5709 10 8 and and CCONJ cana-5709 10 9 π›Όβˆ’ π›Όβˆ’ NOUN cana-5709 10 10 cuts cut NOUN cana-5709 10 11 , , PUNCT cana-5709 10 12 we we PRON cana-5709 10 13 prepare prepare VERB cana-5709 10 14 to to PART cana-5709 10 15 suppress suppress VERB cana-5709 10 16 the the DET cana-5709 10 17 hiv hiv PROPN cana-5709 10 18 epidemic epidemic NOUN cana-5709 10 19 in in ADP cana-5709 10 20 this this DET cana-5709 10 21 approach approach NOUN cana-5709 10 22 . . PUNCT cana-5709 11 1 we we PRON cana-5709 11 2 transform transform VERB cana-5709 11 3 this this DET cana-5709 11 4 system system NOUN cana-5709 11 5 into into ADP cana-5709 11 6 a a DET cana-5709 11 7 fuzzy fuzzy ADJ cana-5709 11 8 linear linear NOUN cana-5709 11 9 system system NOUN cana-5709 11 10 of of ADP cana-5709 11 11 differential differential ADJ cana-5709 11 12 equations equation NOUN cana-5709 11 13 , , PUNCT cana-5709 11 14 and and CCONJ cana-5709 11 15 then then ADV cana-5709 11 16 we we PRON cana-5709 11 17 endeavor endeavor VERB cana-5709 11 18 to to PART cana-5709 11 19 solve solve VERB cana-5709 11 20 these these DET cana-5709 11 21 fddes fdde NOUN cana-5709 11 22 using use VERB cana-5709 11 23 the the DET cana-5709 11 24 runge runge NOUN cana-5709 11 25 - - PUNCT cana-5709 11 26 kutta kutta NOUN cana-5709 11 27 method method NOUN cana-5709 11 28 at at ADP cana-5709 11 29 the the DET cana-5709 11 30 order order NOUN cana-5709 11 31 of of ADP cana-5709 11 32 five five NUM cana-5709 11 33 . . PUNCT cana-5709 12 1 in in ADP cana-5709 12 2 addition addition NOUN cana-5709 12 3 , , PUNCT cana-5709 12 4 we we PRON cana-5709 12 5 presented present VERB cana-5709 12 6 the the DET cana-5709 12 7 stability stability NOUN cana-5709 12 8 of of ADP cana-5709 12 9 fuzzy fuzzy ADJ cana-5709 12 10 differential differential ADJ cana-5709 12 11 equations equation NOUN cana-5709 12 12 before before ADP cana-5709 12 13 the the DET cana-5709 12 14 numerical numerical ADJ cana-5709 12 15 analysis analysis NOUN cana-5709 12 16 keywords keyword NOUN cana-5709 12 17 : : PUNCT cana-5709 12 18 hiv hiv PROPN cana-5709 12 19 infection infection NOUN cana-5709 12 20 ; ; PUNCT cana-5709 12 21 fuzzy fuzzy ADJ cana-5709 12 22 delay delay NOUN cana-5709 12 23 differential differential ADJ cana-5709 12 24 equation equation NOUN cana-5709 12 25 ; ; PUNCT cana-5709 12 26 stability stability NOUN cana-5709 12 27 ; ; PUNCT cana-5709 12 28 numerical numerical ADJ cana-5709 12 29 solution solution NOUN cana-5709 12 30 ; ; PUNCT cana-5709 12 31 runge runge NOUN cana-5709 12 32 - - PUNCT cana-5709 12 33 kutta kutta NOUN cana-5709 12 34 method method NOUN cana-5709 12 35 of of ADP cana-5709 12 36 order order NOUN cana-5709 12 37 five five NUM cana-5709 12 38 . . PUNCT cana-5709 13 1 mathematics mathematic NOUN cana-5709 13 2 subject subject ADJ cana-5709 13 3 classification classification NOUN cana-5709 13 4 : : PUNCT cana-5709 13 5 74h15 74h15 NUM cana-5709 13 6 , , PUNCT cana-5709 13 7 34a07 34a07 NUM cana-5709 13 8 1 1 NUM cana-5709 13 9 . . PUNCT cana-5709 14 1 introduction introduction NOUN cana-5709 14 2 hiv hiv PROPN cana-5709 14 3 infection infection NOUN cana-5709 14 4 of of ADP cana-5709 14 5 cd4 cd4 PROPN cana-5709 14 6 + + PROPN cana-5709 14 7 cells cell NOUN cana-5709 14 8 has have AUX cana-5709 14 9 been be AUX cana-5709 14 10 a a DET cana-5709 14 11 subject subject NOUN cana-5709 14 12 of of ADP cana-5709 14 13 discussion discussion NOUN cana-5709 14 14 for for ADP cana-5709 14 15 many many ADJ cana-5709 14 16 studies study NOUN cana-5709 14 17 . . PUNCT cana-5709 15 1 perelson perelson PROPN cana-5709 16 1 [ [ X cana-5709 16 2 14 14 NUM cana-5709 16 3 ] ] PUNCT cana-5709 16 4 provided provide VERB cana-5709 16 5 a a DET cana-5709 16 6 simple simple ADJ cana-5709 16 7 explanation explanation NOUN cana-5709 16 8 of of ADP cana-5709 16 9 how how SCONJ cana-5709 16 10 to to PART cana-5709 16 11 form form VERB cana-5709 16 12 a a DET cana-5709 16 13 model model NOUN cana-5709 16 14 for for ADP cana-5709 16 15 interaction interaction NOUN cana-5709 16 16 between between ADP cana-5709 16 17 hiv hiv PROPN cana-5709 16 18 ( ( PUNCT cana-5709 16 19 human human ADJ cana-5709 16 20 immunedeficiency immunedeficiency NOUN cana-5709 16 21 virus virus NOUN cana-5709 16 22 ) ) PUNCT cana-5709 16 23 . . PUNCT cana-5709 17 1 even even ADV cana-5709 17 2 though though SCONJ cana-5709 17 3 the the DET cana-5709 17 4 interactions interaction NOUN cana-5709 17 5 between between ADP cana-5709 17 6 the the DET cana-5709 17 7 human human ADJ cana-5709 17 8 immune immune ADJ cana-5709 17 9 system system NOUN cana-5709 17 10 and and CCONJ cana-5709 17 11 hiv hiv NOUN cana-5709 17 12 are be AUX cana-5709 17 13 extremely extremely ADV cana-5709 17 14 complicated complicated ADJ cana-5709 17 15 , , PUNCT cana-5709 17 16 we we PRON cana-5709 17 17 still still ADV cana-5709 17 18 do do AUX cana-5709 17 19 n’t not PART cana-5709 17 20 understand understand VERB cana-5709 17 21 the the DET cana-5709 17 22 pathogenicity pathogenicity NOUN cana-5709 17 23 . . PUNCT cana-5709 18 1 they they PRON cana-5709 18 2 developed develop VERB cana-5709 18 3 the the DET cana-5709 18 4 hiv hiv PROPN cana-5709 18 5 model model NOUN cana-5709 18 6 and and CCONJ cana-5709 18 7 evaluated evaluate VERB cana-5709 18 8 the the DET cana-5709 18 9 model model NOUN cana-5709 18 10 ’s ’s PART cana-5709 18 11 behavior behavior NOUN cana-5709 18 12 . . PUNCT cana-5709 19 1 uninfected uninfecte VERB cana-5709 19 2 cd4 cd4 PROPN cana-5709 19 3 + + PROPN cana-5709 19 4 t t PROPN cana-5709 19 5 - - PUNCT cana-5709 19 6 cells cell NOUN cana-5709 19 7 , , PUNCT cana-5709 19 8 latently latently ADV cana-5709 19 9 infected infect VERB cana-5709 19 10 cd4 cd4 PROPN cana-5709 19 11 + + PROPN cana-5709 19 12 t t PROPN cana-5709 19 13 - - PUNCT cana-5709 19 14 cells cell NOUN cana-5709 19 15 , , PUNCT cana-5709 19 16 infected infect VERB cana-5709 19 17 cd4 cd4 PROPN cana-5709 19 18 + + PROPN cana-5709 19 19 t t PROPN cana-5709 19 20 - - PUNCT cana-5709 19 21 cells cell NOUN cana-5709 19 22 , , PUNCT cana-5709 19 23 and and CCONJ cana-5709 19 24 the the DET cana-5709 19 25 free free ADJ cana-5709 19 26 virus virus NOUN cana-5709 19 27 was be AUX cana-5709 19 28 listed list VERB cana-5709 19 29 as as ADP cana-5709 19 30 the the DET cana-5709 19 31 four four NUM cana-5709 19 32 components component NOUN cana-5709 19 33 . . PUNCT cana-5709 20 1 the the DET cana-5709 20 2 fluctuations fluctuation NOUN cana-5709 20 3 of of ADP cana-5709 20 4 a a DET cana-5709 20 5 density density NOUN cana-5709 20 6 of of ADP cana-5709 20 7 uninfected uninfected ADJ cana-5709 20 8 target target NOUN cana-5709 20 9 cells cell NOUN cana-5709 20 10 ( ( PUNCT cana-5709 20 11 π‘ˆπ‘ π‘ˆπ‘ PROPN cana-5709 20 12 ) ) PUNCT cana-5709 20 13 , , PUNCT cana-5709 20 14 infected infected ADJ cana-5709 20 15 target target NOUN cana-5709 20 16 cells cell NOUN cana-5709 20 17 ( ( PUNCT cana-5709 20 18 𝐼𝑐 𝐼𝑐 NOUN cana-5709 20 19 ) ) PUNCT cana-5709 20 20 , , PUNCT cana-5709 20 21 and and CCONJ cana-5709 20 22 free free ADJ cana-5709 20 23 virus virus NOUN cana-5709 20 24 ( ( PUNCT cana-5709 20 25 𝐹𝑣 𝐹𝑣 NOUN cana-5709 20 26 ) ) PUNCT cana-5709 20 27 were be AUX cana-5709 20 28 explored explore VERB cana-5709 20 29 in in ADP cana-5709 20 30 the the DET cana-5709 20 31 basic basic ADJ cana-5709 20 32 differential differential NOUN cana-5709 20 33 equation equation NOUN cana-5709 20 34 model model NOUN cana-5709 20 35 developed develop VERB cana-5709 20 36 by by ADP cana-5709 20 37 [ [ X cana-5709 20 38 14 14 NUM cana-5709 20 39 ] ] PUNCT cana-5709 20 40 to to PART cana-5709 20 41 analyze analyze VERB cana-5709 20 42 viral viral ADJ cana-5709 20 43 dynamics dynamic NOUN cana-5709 20 44 . . PUNCT cana-5709 21 1 numerous numerous ADJ cana-5709 21 2 researchers researcher NOUN cana-5709 21 3 , , PUNCT cana-5709 21 4 including include VERB cana-5709 21 5 [ [ X cana-5709 21 6 3 3 NUM cana-5709 21 7 ] ] PUNCT cana-5709 21 8 , , PUNCT cana-5709 21 9 [ [ X cana-5709 21 10 5 5 NUM cana-5709 21 11 ] ] PUNCT cana-5709 21 12 , , PUNCT cana-5709 21 13 [ [ X cana-5709 21 14 6 6 NUM cana-5709 21 15 ] ] PUNCT cana-5709 21 16 , , PUNCT cana-5709 21 17 [ [ X cana-5709 21 18 10 10 NUM cana-5709 21 19 ] ] PUNCT cana-5709 21 20 , , PUNCT cana-5709 21 21 [ [ X cana-5709 21 22 18 18 NUM cana-5709 21 23 ] ] PUNCT cana-5709 21 24 , , PUNCT cana-5709 21 25 [ [ X cana-5709 21 26 19 19 NUM cana-5709 21 27 ] ] PUNCT cana-5709 21 28 , , PUNCT cana-5709 21 29 [ [ X cana-5709 21 30 22 22 NUM cana-5709 21 31 ] ] PUNCT cana-5709 21 32 , , PUNCT cana-5709 21 33 detailed detail VERB cana-5709 21 34 the the DET cana-5709 21 35 model model NOUN cana-5709 21 36 utilising utilise VERB cana-5709 21 37 ode ode ADJ cana-5709 21 38 techniques technique NOUN cana-5709 21 39 ( ( PUNCT cana-5709 21 40 ode ode PROPN cana-5709 21 41 ) ) PUNCT cana-5709 21 42 . . PUNCT cana-5709 22 1 that that DET cana-5709 22 2 model model NOUN cana-5709 22 3 does do AUX cana-5709 22 4 not not PART cana-5709 22 5 include include VERB cana-5709 22 6 an an DET cana-5709 22 7 intracellular intracellular ADJ cana-5709 22 8 time time NOUN cana-5709 22 9 delay delay NOUN cana-5709 22 10 between between ADP cana-5709 22 11 a a DET cana-5709 22 12 cell cell NOUN cana-5709 22 13 becoming becoming AUX cana-5709 22 14 affected affect VERB cana-5709 22 15 and and CCONJ cana-5709 22 16 a a DET cana-5709 22 17 virusproducing virusproducing NOUN cana-5709 22 18 a a DET cana-5709 22 19 new new ADJ cana-5709 22 20 infection infection NOUN cana-5709 22 21 . . PUNCT cana-5709 23 1 herz herz PROPN cana-5709 23 2 et et PROPN cana-5709 23 3 al al PROPN cana-5709 23 4 . . PROPN cana-5709 23 5 , , PUNCT cana-5709 24 1 [ [ X cana-5709 24 2 8 8 NUM cana-5709 24 3 ] ] PUNCT cana-5709 24 4 , , PUNCT cana-5709 24 5 assumed assume VERB cana-5709 24 6 that that SCONJ cana-5709 24 7 virus virus NOUN cana-5709 24 8 generation generation NOUN cana-5709 24 9 lags lag VERB cana-5709 24 10 behind behind ADP cana-5709 24 11 cell cell NOUN cana-5709 24 12 infection infection NOUN cana-5709 24 13 by by ADP cana-5709 24 14 a a DET cana-5709 24 15 delay delay NOUN cana-5709 24 16 of of ADP cana-5709 24 17 Ο„ Ο„ PROPN cana-5709 24 18 . . PUNCT cana-5709 25 1 finally finally ADV cana-5709 25 2 , , PUNCT cana-5709 25 3 there there PRON cana-5709 25 4 are be VERB cana-5709 25 5 two two NUM cana-5709 25 6 techniques technique NOUN cana-5709 25 7 to to PART cana-5709 25 8 solve solve VERB cana-5709 25 9 the the DET cana-5709 25 10 system system NOUN cana-5709 25 11 of of ADP cana-5709 25 12 equations equation NOUN cana-5709 25 13 . . PUNCT cana-5709 26 1 this this PRON cana-5709 26 2 reveals reveal VERB cana-5709 26 3 that that SCONJ cana-5709 26 4 the the DET cana-5709 26 5 density density NOUN cana-5709 26 6 of of ADP cana-5709 26 7 cells cell NOUN cana-5709 26 8 that that PRON cana-5709 26 9 were be AUX cana-5709 26 10 freshly freshly ADV cana-5709 26 11 infected infect VERB cana-5709 26 12 at at ADP cana-5709 26 13 time time NOUN cana-5709 26 14 𝑑 𝑑 ADP cana-5709 26 15 βˆ’ βˆ’ NOUN cana-5709 26 16 𝜏 𝜏 NUM cana-5709 26 17 and and CCONJ cana-5709 26 18 are be AUX cana-5709 26 19 still still ADV cana-5709 26 20 alive alive ADJ cana-5709 26 21 at at ADP cana-5709 26 22 time time NOUN cana-5709 26 23 t t PROPN cana-5709 26 24 determines determine VERB cana-5709 26 25 the the DET cana-5709 26 26 recruitment recruitment NOUN cana-5709 26 27 of of ADP cana-5709 26 28 virus virus NOUN cana-5709 26 29 - - PUNCT cana-5709 26 30 producing produce VERB cana-5709 26 31 cells cell NOUN cana-5709 26 32 at at ADP cana-5709 26 33 time time NOUN cana-5709 26 34 𝑑. 𝑑. VERB cana-5709 26 35 the the DET cana-5709 26 36 first first ADJ cana-5709 26 37 communications communication NOUN cana-5709 26 38 on on ADP cana-5709 26 39 applied apply VERB cana-5709 26 40 nonlinear nonlinear ADJ cana-5709 26 41 analysis analysis NOUN cana-5709 26 42 issn issn NOUN cana-5709 26 43 : : PUNCT cana-5709 26 44 1074 1074 NUM cana-5709 26 45 - - PUNCT cana-5709 26 46 133x 133x NUM cana-5709 26 47 vol vol VERB cana-5709 26 48 32 32 NUM cana-5709 26 49 no no NOUN cana-5709 26 50 . . PUNCT cana-5709 27 1 10s 10 NOUN cana-5709 27 2 ( ( PUNCT cana-5709 27 3 2025 2025 NUM cana-5709 27 4 ) ) PUNCT cana-5709 27 5 2685 2685 NUM cana-5709 27 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 27 7 one one NOUN cana-5709 27 8 is be AUX cana-5709 27 9 analytical analytical ADJ cana-5709 27 10 when when SCONJ cana-5709 27 11 it it PRON cana-5709 27 12 is be AUX cana-5709 27 13 possible possible ADJ cana-5709 27 14 , , PUNCT cana-5709 27 15 and and CCONJ cana-5709 27 16 the the DET cana-5709 27 17 second second ADJ cana-5709 27 18 is be AUX cana-5709 27 19 numerical numerical ADJ cana-5709 27 20 methods method NOUN cana-5709 27 21 since since SCONJ cana-5709 27 22 they they PRON cana-5709 27 23 enable enable VERB cana-5709 27 24 the the DET cana-5709 27 25 prediction prediction NOUN cana-5709 27 26 of of ADP cana-5709 27 27 virus virus NOUN cana-5709 27 28 concentrations concentration NOUN cana-5709 27 29 and and CCONJ cana-5709 27 30 target target NOUN cana-5709 27 31 cell cell NOUN cana-5709 27 32 behaviour behaviour NOUN cana-5709 27 33 . . PUNCT cana-5709 28 1 we we PRON cana-5709 28 2 will will AUX cana-5709 28 3 discuss discuss VERB cana-5709 28 4 a a DET cana-5709 28 5 fuzzy fuzzy ADJ cana-5709 28 6 differential differential NOUN cana-5709 28 7 equation equation NOUN cana-5709 28 8 model model NOUN cana-5709 28 9 of of ADP cana-5709 28 10 hiv hiv PROPN cana-5709 28 11 infection infection NOUN cana-5709 28 12 of of ADP cana-5709 28 13 cd4 cd4 PROPN cana-5709 28 14 + + PROPN cana-5709 28 15 t t PROPN cana-5709 28 16 - - PUNCT cana-5709 28 17 cells cell NOUN cana-5709 28 18 with with ADP cana-5709 28 19 delay delay NOUN cana-5709 28 20 using use VERB cana-5709 28 21 the the DET cana-5709 28 22 fifth fifth ADJ cana-5709 28 23 order order NOUN cana-5709 28 24 runge runge NOUN cana-5709 28 25 - - PUNCT cana-5709 28 26 kutta kutta NOUN cana-5709 28 27 method method NOUN cana-5709 28 28 in in ADP cana-5709 28 29 this this DET cana-5709 28 30 study study NOUN cana-5709 28 31 . . PUNCT cana-5709 29 1 rebecca rebecca PROPN cana-5709 29 2 et et PROPN cana-5709 29 3 al al PROPN cana-5709 29 4 . . PUNCT cana-5709 30 1 [ [ X cana-5709 30 2 4 4 X cana-5709 30 3 ] ] PUNCT cana-5709 30 4 have have AUX cana-5709 30 5 described describe VERB cana-5709 30 6 the the DET cana-5709 30 7 most most ADV cana-5709 30 8 basic basic ADJ cana-5709 30 9 model model NOUN cana-5709 30 10 of of ADP cana-5709 30 11 hiv hiv PROPN cana-5709 30 12 infection infection NOUN cana-5709 30 13 of of ADP cana-5709 30 14 cd4 cd4 PROPN cana-5709 30 15 + + PROPN cana-5709 30 16 t t PROPN cana-5709 30 17 - - PUNCT cana-5709 30 18 cells cell NOUN cana-5709 30 19 . . PUNCT cana-5709 31 1 we we PRON cana-5709 31 2 must must AUX cana-5709 31 3 turn turn VERB cana-5709 31 4 the the DET cana-5709 31 5 nonlinear nonlinear ADJ cana-5709 31 6 fuzzy fuzzy ADJ cana-5709 31 7 delay delay NOUN cana-5709 31 8 model model NOUN cana-5709 31 9 into into ADP cana-5709 31 10 a a DET cana-5709 31 11 fuzzy fuzzy ADJ cana-5709 31 12 linear linear NOUN cana-5709 31 13 model model NOUN cana-5709 31 14 in in ADP cana-5709 31 15 this this DET cana-5709 31 16 study study NOUN cana-5709 31 17 . . PUNCT cana-5709 32 1 then then ADV cana-5709 32 2 it it PRON cana-5709 32 3 will will AUX cana-5709 32 4 provide provide VERB cana-5709 32 5 a a DET cana-5709 32 6 strategy strategy NOUN cana-5709 32 7 for for ADP cana-5709 32 8 determining determine VERB cana-5709 32 9 the the DET cana-5709 32 10 analytical analytical ADJ cana-5709 32 11 solution solution NOUN cana-5709 32 12 of of ADP cana-5709 32 13 the the DET cana-5709 32 14 fuzzy fuzzy ADJ cana-5709 32 15 linearized linearize VERB cana-5709 32 16 system system NOUN cana-5709 32 17 . . PUNCT cana-5709 33 1 variables variable NOUN cana-5709 33 2 and and CCONJ cana-5709 33 3 parameters parameter NOUN cana-5709 33 4 for for ADP cana-5709 33 5 viral viral ADJ cana-5709 33 6 spread[4 spread[4 NOUN cana-5709 33 7 ] ] PUNCT cana-5709 33 8 terms term NOUN cana-5709 33 9 description description NOUN cana-5709 33 10 of of ADP cana-5709 33 11 variables variable NOUN cana-5709 33 12 and and CCONJ cana-5709 33 13 constants constant VERB cana-5709 33 14 values value NOUN cana-5709 33 15 dependent dependent ADJ cana-5709 33 16 variables variable NOUN cana-5709 34 1 π‘ˆπ‘ π‘ˆπ‘ ADP cana-5709 34 2 uninfected uninfected ADJ cana-5709 34 3 cd4 cd4 PROPN cana-5709 34 4 + + PROPN cana-5709 34 5 t t PROPN cana-5709 34 6 - - PUNCT cana-5709 34 7 cell cell NOUN cana-5709 34 8 population population NOUN cana-5709 34 9 size size NOUN cana-5709 34 10 1000mmβˆ’3 1000mmβˆ’3 PROPN cana-5709 34 11 𝐼𝑐 𝐼𝑐 PROPN cana-5709 34 12 𝐹𝑣 𝐹𝑣 PROPN cana-5709 34 13 infected infect VERB cana-5709 34 14 cd4 cd4 PROPN cana-5709 34 15 + + PROPN cana-5709 34 16 t t PROPN cana-5709 34 17 - - PUNCT cana-5709 34 18 cell cell NOUN cana-5709 34 19 density density NOUN cana-5709 34 20 initial initial ADJ cana-5709 34 21 density density NOUN cana-5709 34 22 of of ADP cana-5709 34 23 hiv hiv PROPN cana-5709 34 24 rna rna PROPN cana-5709 34 25 0 0 NUM cana-5709 34 26 10βˆ’3 10βˆ’3 NUM cana-5709 34 27 parameters parameter NOUN cana-5709 34 28 and and CCONJ cana-5709 34 29 constants constant NOUN cana-5709 34 30 πœ‡π‘’π‘ πœ‡π‘’π‘ PROPN cana-5709 34 31 rate rate NOUN cana-5709 34 32 of of ADP cana-5709 34 33 natural natural ADJ cana-5709 34 34 death death NOUN cana-5709 34 35 for for ADP cana-5709 34 36 cd4+t cd4+t ADJ cana-5709 34 37 cells cell NOUN cana-5709 34 38 0.02dayβˆ’1 0.02dayβˆ’1 ADJ cana-5709 34 39 Β΅ Β΅ X cana-5709 34 40 i i PRON cana-5709 34 41 c c VERB cana-5709 34 42 infectious infectious ADJ cana-5709 34 43 people people NOUN cana-5709 34 44 die die VERB cana-5709 34 45 in in ADP cana-5709 34 46 droves drove NOUN cana-5709 34 47 for for ADP cana-5709 34 48 cd4 cd4 PROPN cana-5709 34 49 + + PROPN cana-5709 34 50 t t PROPN cana-5709 34 51 - - PUNCT cana-5709 34 52 cells cell NOUN cana-5709 34 53 0.26dayβˆ’1 0.26dayβˆ’1 NOUN cana-5709 34 54 Β΅b Β΅b ADP cana-5709 34 55 rate rate NOUN cana-5709 34 56 of of ADP cana-5709 34 57 lytic lytic ADJ cana-5709 34 58 death death NOUN cana-5709 34 59 in in ADP cana-5709 34 60 infected infected ADJ cana-5709 34 61 cells cell NOUN cana-5709 34 62 0.24dayβˆ’1 0.24dayβˆ’1 PROPN cana-5709 34 63 Β΅ Β΅ PROPN cana-5709 34 64 f f NOUN cana-5709 34 65 v v PRON cana-5709 34 66 rate rate NOUN cana-5709 34 67 of of ADP cana-5709 34 68 free free ADJ cana-5709 34 69 virus virus NOUN cana-5709 34 70 death death NOUN cana-5709 34 71 2.4dayβˆ’1 2.4dayβˆ’1 PROPN cana-5709 34 72 k1 k1 NOUN cana-5709 34 73 rate rate NOUN cana-5709 34 74 cd4 cd4 PROPN cana-5709 34 75 + + PROPN cana-5709 34 76 t t PROPN cana-5709 34 77 - - PUNCT cana-5709 34 78 cells cell NOUN cana-5709 34 79 become become AUX cana-5709 34 80 infected infect VERB cana-5709 34 81 with with ADP cana-5709 34 82 virus virus NOUN cana-5709 34 83 2.4 2.4 NUM cana-5709 34 84 Γ— Γ— NOUN cana-5709 35 1 10βˆ’5mm3dayβˆ’1 10βˆ’5mm3dayβˆ’1 NOUN cana-5709 36 1 β€² β€² NUM cana-5709 37 1 k k NOUN cana-5709 37 2 the the DET cana-5709 37 3 rate rate NOUN cana-5709 37 4 at at ADP cana-5709 37 5 which which PRON cana-5709 37 6 infected infected ADJ cana-5709 37 7 cells cell NOUN cana-5709 37 8 activate activate VERB cana-5709 37 9 2 2 NUM cana-5709 37 10 Γ— Γ— NOUN cana-5709 37 11 10βˆ’5mm3dayβˆ’1 10βˆ’5mm3dayβˆ’1 NUM cana-5709 37 12 r r NOUN cana-5709 37 13 growth growth NOUN cana-5709 37 14 rate rate NOUN cana-5709 37 15 of of ADP cana-5709 37 16 cd+ cd+ NOUN cana-5709 37 17 t t NOUN cana-5709 37 18 - - PUNCT cana-5709 37 19 cell cell NOUN cana-5709 37 20 population population NOUN cana-5709 37 21 0.03dayβˆ’1 0.03dayβˆ’1 NOUN cana-5709 37 22 n n CCONJ cana-5709 37 23 the the DET cana-5709 37 24 number number NOUN cana-5709 37 25 of of ADP cana-5709 37 26 virions virion NOUN cana-5709 37 27 that that PRON cana-5709 37 28 infected infect VERB cana-5709 37 29 cd4 cd4 PROPN cana-5709 37 30 + + PROPN cana-5709 37 31 t t NOUN cana-5709 37 32 cells cell NOUN cana-5709 37 33 produce produce VERB cana-5709 37 34 varies vary VERB cana-5709 37 35 u u PROPN cana-5709 37 36 c c PROPN cana-5709 37 37 max max PROPN cana-5709 37 38 maximum maximum ADJ cana-5709 37 39 number number NOUN cana-5709 37 40 of of ADP cana-5709 37 41 cd4 cd4 PROPN cana-5709 37 42 + + PROPN cana-5709 37 43 t t PROPN cana-5709 37 44 - - PUNCT cana-5709 37 45 cells cell NOUN cana-5709 37 46 in in ADP cana-5709 37 47 a a DET cana-5709 37 48 population population NOUN cana-5709 37 49 1500mmβˆ’3 1500mmβˆ’3 X cana-5709 37 50 s s VERB cana-5709 37 51 uninfected uninfected ADJ cana-5709 37 52 cd4 cd4 PROPN cana-5709 37 53 + + PROPN cana-5709 37 54 t t PROPN cana-5709 37 55 - - PUNCT cana-5709 37 56 cells cell NOUN cana-5709 37 57 are be AUX cana-5709 37 58 the the DET cana-5709 37 59 source source NOUN cana-5709 37 60 term term NOUN cana-5709 37 61 10(day)βˆ’1(mmβˆ’3 10(day)βˆ’1(mmβˆ’3 NOUN cana-5709 37 62 ) ) PUNCT cana-5709 37 63 derived derive VERB cana-5709 37 64 quantities quantity NOUN cana-5709 37 65 t0 t0 PROPN cana-5709 37 66 the the DET cana-5709 37 67 population population NOUN cana-5709 37 68 of of ADP cana-5709 37 69 cd4 cd4 PROPN cana-5709 37 70 + + PROPN cana-5709 37 71 t t NOUN cana-5709 37 72 cells cell NOUN cana-5709 37 73 for for ADP cana-5709 37 74 hiv hiv PROPN cana-5709 37 75 - - PUNCT cana-5709 37 76 negative negative ADJ cana-5709 37 77 patients patient NOUN cana-5709 37 78 1000mmβˆ’3 1000mmβˆ’3 PROPN cana-5709 37 79 2 2 NUM cana-5709 37 80 . . X cana-5709 38 1 hiv hiv PROPN cana-5709 38 2 infection infection NOUN cana-5709 38 3 of of ADP cana-5709 38 4 cd4+cells cd4+cell NOUN cana-5709 38 5 with with ADP cana-5709 38 6 a a DET cana-5709 38 7 fuzzy fuzzy ADJ cana-5709 38 8 delay delay NOUN cana-5709 38 9 model model NOUN cana-5709 38 10 consider consider VERB cana-5709 38 11 the the DET cana-5709 38 12 fddes fdde NOUN cana-5709 38 13 model model NOUN cana-5709 38 14 of of ADP cana-5709 38 15 cd4+t cd4+t ADJ cana-5709 38 16 - - PUNCT cana-5709 38 17 cell cell NOUN cana-5709 38 18 hiv hiv PROPN cana-5709 38 19 infection infection NOUN cana-5709 38 20 , , PUNCT cana-5709 38 21 { { PUNCT cana-5709 38 22 𝑑 𝑑 NOUN cana-5709 38 23 𝑑𝑑 𝑑𝑑 ADP cana-5709 38 24 [ [ X cana-5709 38 25 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 38 26 ) ) PUNCT cana-5709 38 27 ] ] PUNCT cana-5709 39 1 𝛼 𝛼 X cana-5709 39 2 = = PUNCT cana-5709 40 1 [ [ X cana-5709 40 2 𝑠]𝛼 𝑠]𝛼 NOUN cana-5709 40 3 βˆ’ βˆ’ NOUN cana-5709 41 1 [ [ X cana-5709 41 2 πœ‡π‘‘π‘ˆπ‘(𝑑 πœ‡π‘‘π‘ˆπ‘(𝑑 NOUN cana-5709 41 3 ) ) PUNCT cana-5709 41 4 ] ] PUNCT cana-5709 42 1 𝛼 𝛼 X cana-5709 42 2 + + X cana-5709 43 1 [ [ X cana-5709 43 2 π‘Ÿπ‘ˆπ‘(𝑑 π‘Ÿπ‘ˆπ‘(𝑑 NOUN cana-5709 43 3 ) ) PUNCT cana-5709 43 4 ] ] PUNCT cana-5709 44 1 𝛼 𝛼 X cana-5709 44 2 ( ( PUNCT cana-5709 44 3 1 1 NUM cana-5709 44 4 βˆ’ βˆ’ PROPN cana-5709 44 5 [ [ X cana-5709 44 6 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 44 7 ) ) PUNCT cana-5709 44 8 ] ] X cana-5709 44 9 𝛼+[𝐼𝑐(𝑑 𝛼+[𝐼𝑐(𝑑 PROPN cana-5709 44 10 ) ) PUNCT cana-5709 44 11 ] ] PUNCT cana-5709 44 12 𝛼 𝛼 X cana-5709 44 13 π‘ˆπ‘π‘šπ‘Žπ‘₯ π‘ˆπ‘π‘šπ‘Žπ‘₯ PROPN cana-5709 44 14 ) ) PUNCT cana-5709 44 15 βˆ’ βˆ’ NOUN cana-5709 44 16 π‘˜[𝐹𝑣(𝑑 π‘˜[𝐹𝑣(𝑑 NOUN cana-5709 44 17 ) ) PUNCT cana-5709 44 18 ] ] PUNCT cana-5709 44 19 𝛼[π‘ˆπ‘(𝑑 𝛼[π‘ˆπ‘(𝑑 NUM cana-5709 44 20 ) ) PUNCT cana-5709 44 21 ] ] PUNCT cana-5709 45 1 𝛼 𝛼 X cana-5709 45 2 , , PUNCT cana-5709 45 3 𝑑 𝑑 VERB cana-5709 45 4 𝑑𝑑 𝑑𝑑 ADP cana-5709 45 5 [ [ X cana-5709 45 6 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 45 7 ) ) PUNCT cana-5709 45 8 ] ] PUNCT cana-5709 46 1 𝛼 𝛼 X cana-5709 46 2 = = PUNCT cana-5709 46 3 π‘˜β€²1[𝐹𝑣(𝑑 π‘˜β€²1[𝐹𝑣(𝑑 NOUN cana-5709 46 4 βˆ’ βˆ’ X cana-5709 46 5 𝜏 𝜏 NUM cana-5709 46 6 ) ) PUNCT cana-5709 46 7 ] ] PUNCT cana-5709 46 8 𝛼[π‘ˆπ‘(𝑑 𝛼[π‘ˆπ‘(𝑑 NOUN cana-5709 46 9 βˆ’ βˆ’ PROPN cana-5709 46 10 𝜏 𝜏 NOUN cana-5709 46 11 ) ) PUNCT cana-5709 46 12 ] ] PUNCT cana-5709 47 1 𝛼 𝛼 X cana-5709 47 2 βˆ’ βˆ’ PROPN cana-5709 47 3 πœ‡πΌ[𝐹𝑣(𝑑 πœ‡πΌ[𝐹𝑣(𝑑 NUM cana-5709 47 4 ) ) PUNCT cana-5709 47 5 ] ] PUNCT cana-5709 48 1 𝛼 𝛼 X cana-5709 48 2 , , PUNCT cana-5709 48 3 𝑑 𝑑 VERB cana-5709 48 4 𝑑𝑑 𝑑𝑑 ADP cana-5709 48 5 [ [ X cana-5709 48 6 𝐹𝑣(𝑑 𝐹𝑣(𝑑 NOUN cana-5709 48 7 ) ) PUNCT cana-5709 48 8 ] ] PUNCT cana-5709 49 1 𝛼 𝛼 X cana-5709 49 2 = = X cana-5709 50 1 [ [ X cana-5709 50 2 π‘πœ‡π‘πΌπ‘(𝑑 π‘πœ‡π‘πΌπ‘(𝑑 NOUN cana-5709 50 3 ) ) PUNCT cana-5709 50 4 ] ] PUNCT cana-5709 51 1 𝛼 𝛼 X cana-5709 51 2 βˆ’ βˆ’ PROPN cana-5709 51 3 π‘˜1[𝐹𝑣(𝑑 π‘˜1[𝐹𝑣(𝑑 NUM cana-5709 51 4 ) ) PUNCT cana-5709 51 5 ] ] PUNCT cana-5709 51 6 𝛼[π‘ˆπ‘(𝑑 𝛼[π‘ˆπ‘(𝑑 NUM cana-5709 51 7 ) ) PUNCT cana-5709 51 8 ] ] PUNCT cana-5709 52 1 𝛼 𝛼 X cana-5709 52 2 βˆ’ βˆ’ PROPN cana-5709 52 3 πœ‡πΉπ‘£[𝐹𝑐(𝑑 πœ‡πΉπ‘£[𝐹𝑐(𝑑 NOUN cana-5709 52 4 ) ) PUNCT cana-5709 52 5 ] ] PUNCT cana-5709 53 1 𝛼 𝛼 X cana-5709 53 2 , , PUNCT cana-5709 53 3 ( ( PUNCT cana-5709 53 4 2.1 2.1 NUM cana-5709 53 5 ) ) PUNCT cana-5709 53 6 with with ADP cana-5709 53 7 the the DET cana-5709 53 8 fuzzy fuzzy ADJ cana-5709 53 9 initial initial ADJ cana-5709 53 10 function function NOUN cana-5709 53 11 is be AUX cana-5709 53 12 given give VERB cana-5709 53 13 by by ADP cana-5709 53 14 [ [ X cana-5709 53 15 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 53 16 ) ) PUNCT cana-5709 53 17 ] ] PUNCT cana-5709 54 1 𝛼 𝛼 X cana-5709 54 2 = = SYM cana-5709 55 1 [ [ X cana-5709 55 2 1001 1001 NUM cana-5709 55 3 βˆ’ βˆ’ NUM cana-5709 55 4 𝑒𝑑]𝐹1(𝛼 𝑒𝑑]𝐹1(𝛼 NOUN cana-5709 55 5 ) ) PUNCT cana-5709 55 6 , , PUNCT cana-5709 56 1 [ [ X cana-5709 56 2 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 56 3 ) ) PUNCT cana-5709 56 4 ] ] PUNCT cana-5709 56 5 𝛼 𝛼 X cana-5709 56 6 = = X cana-5709 57 1 [ [ X cana-5709 58 1 0]𝐹2(𝛼 0]𝐹2(𝛼 NOUN cana-5709 58 2 ) ) PUNCT cana-5709 58 3 , , PUNCT cana-5709 59 1 [ [ X cana-5709 59 2 𝐹𝑣(𝑑 𝐹𝑣(𝑑 NOUN cana-5709 59 3 ) ) PUNCT cana-5709 59 4 ] ] PUNCT cana-5709 60 1 𝛼 𝛼 X cana-5709 60 2 = = PUNCT cana-5709 61 1 [ [ X cana-5709 61 2 1.001 1.001 NUM cana-5709 61 3 βˆ’ βˆ’ NUM cana-5709 61 4 𝑒𝑑]𝐹3(𝛼 𝑒𝑑]𝐹3(𝛼 NOUN cana-5709 61 5 ) ) PUNCT cana-5709 61 6 , , PUNCT cana-5709 61 7 𝑑 𝑑 PROPN cana-5709 61 8 ∈ ∈ PROPN cana-5709 62 1 [ [ X cana-5709 62 2 βˆ’πœ βˆ’πœ NOUN cana-5709 62 3 , , PUNCT cana-5709 62 4 0 0 NUM cana-5709 62 5 ] ] PUNCT cana-5709 62 6 , , PUNCT cana-5709 62 7 where where SCONJ cana-5709 62 8 , , PUNCT cana-5709 62 9 𝐹1(𝛼 𝐹1(𝛼 PROPN cana-5709 62 10 ) ) PUNCT cana-5709 62 11 = = NOUN cana-5709 63 1 [ [ X cana-5709 63 2 1000𝛼 1000𝛼 NUM cana-5709 63 3 + + SYM cana-5709 63 4 850(1 850(1 NUM cana-5709 63 5 βˆ’ βˆ’ PROPN cana-5709 63 6 𝛼),1000𝛼 𝛼),1000𝛼 NOUN cana-5709 63 7 + + PROPN cana-5709 63 8 1150(1 1150(1 NUM cana-5709 63 9 βˆ’ βˆ’ NOUN cana-5709 63 10 𝛼 𝛼 NOUN cana-5709 63 11 ) ) PUNCT cana-5709 63 12 ] ] PUNCT cana-5709 64 1 𝐹2(𝛼 𝐹2(𝛼 X cana-5709 64 2 ) ) PUNCT cana-5709 65 1 = = PUNCT cana-5709 66 1 [ [ X cana-5709 66 2 5𝛼 5𝛼 NUM cana-5709 66 3 + + SYM cana-5709 66 4 4(1 4(1 NUM cana-5709 66 5 βˆ’ βˆ’ NOUN cana-5709 66 6 𝛼 𝛼 NOUN cana-5709 66 7 ) ) PUNCT cana-5709 66 8 , , PUNCT cana-5709 66 9 5𝛼 5𝛼 PROPN cana-5709 66 10 + + CCONJ cana-5709 66 11 6(1 6(1 NUM cana-5709 66 12 βˆ’ βˆ’ NOUN cana-5709 66 13 𝛼 𝛼 NOUN cana-5709 66 14 ) ) PUNCT cana-5709 66 15 ] ] PUNCT cana-5709 66 16 , , PUNCT cana-5709 66 17 𝐹3(𝛼 𝐹3(𝛼 NUM cana-5709 66 18 ) ) PUNCT cana-5709 67 1 = = NOUN cana-5709 68 1 [ [ X cana-5709 68 2 7000𝛼 7000𝛼 NUM cana-5709 68 3 + + NOUN cana-5709 68 4 6750(1 6750(1 NUM cana-5709 68 5 βˆ’ βˆ’ NOUN cana-5709 68 6 𝛼 𝛼 NOUN cana-5709 68 7 ) ) PUNCT cana-5709 68 8 , , PUNCT cana-5709 68 9 7000𝛼 7000𝛼 NUM cana-5709 69 1 + + CCONJ cana-5709 69 2 7250(1 7250(1 NUM cana-5709 69 3 βˆ’ βˆ’ NOUN cana-5709 69 4 𝛼 𝛼 NOUN cana-5709 69 5 ) ) PUNCT cana-5709 69 6 ] ] PUNCT cana-5709 69 7 , , PUNCT cana-5709 69 8 𝛼 𝛼 PROPN cana-5709 69 9 ∈ ∈ NOUN cana-5709 70 1 [ [ X cana-5709 70 2 0,1 0,1 NUM cana-5709 70 3 ] ] PUNCT cana-5709 70 4 . . PUNCT cana-5709 71 1 communications communication NOUN cana-5709 71 2 on on ADP cana-5709 71 3 applied apply VERB cana-5709 71 4 nonlinear nonlinear ADJ cana-5709 71 5 analysis analysis NOUN cana-5709 71 6 issn issn NOUN cana-5709 71 7 : : PUNCT cana-5709 71 8 1074 1074 NUM cana-5709 71 9 - - PUNCT cana-5709 71 10 133x 133x NUM cana-5709 71 11 vol vol VERB cana-5709 71 12 32 32 NUM cana-5709 71 13 no no NOUN cana-5709 71 14 . . PUNCT cana-5709 72 1 10s 10 NOUN cana-5709 72 2 ( ( PUNCT cana-5709 72 3 2025 2025 NUM cana-5709 72 4 ) ) PUNCT cana-5709 72 5 2686 2686 NUM cana-5709 72 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 73 1 where where SCONJ cana-5709 73 2 [ [ X cana-5709 73 3 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 73 4 ) ) PUNCT cana-5709 73 5 ] ] PUNCT cana-5709 74 1 𝛼 𝛼 PRON cana-5709 74 2 symbolizes symbolize VERB cana-5709 74 3 the the DET cana-5709 74 4 number number NOUN cana-5709 74 5 of of ADP cana-5709 74 6 healthy healthy ADJ cana-5709 74 7 cd4+t cd4+t NOUN cana-5709 74 8 - - PUNCT cana-5709 74 9 cells cell NOUN cana-5709 74 10 at at ADP cana-5709 74 11 time time NOUN cana-5709 74 12 𝑑. 𝑑. NOUN cana-5709 74 13 [ [ X cana-5709 74 14 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 74 15 ) ) PUNCT cana-5709 74 16 ] ] PUNCT cana-5709 74 17 𝛼 𝛼 NOUN cana-5709 74 18 reflects reflect VERB cana-5709 74 19 the the DET cana-5709 74 20 accumulation accumulation NOUN cana-5709 74 21 of of ADP cana-5709 74 22 carrying carry VERB cana-5709 74 23 the the DET cana-5709 74 24 virus virus NOUN cana-5709 74 25 cd4+t cd4+t ADJ cana-5709 74 26 - - PUNCT cana-5709 74 27 cells cell NOUN cana-5709 74 28 at at ADP cana-5709 74 29 time time NOUN cana-5709 74 30 t t PROPN cana-5709 74 31 , , PUNCT cana-5709 74 32 [ [ X cana-5709 74 33 𝐹𝑣(𝑑 𝐹𝑣(𝑑 NOUN cana-5709 74 34 ) ) PUNCT cana-5709 74 35 ] ] PUNCT cana-5709 74 36 corresponds correspond VERB cana-5709 74 37 to to ADP cana-5709 74 38 the the DET cana-5709 74 39 number number NOUN cana-5709 74 40 of of ADP cana-5709 74 41 free free ADJ cana-5709 74 42 hiv hiv PROPN cana-5709 74 43 at at ADP cana-5709 74 44 time time NOUN cana-5709 74 45 t t PROPN cana-5709 74 46 , , PUNCT cana-5709 74 47 and and CCONJ cana-5709 74 48 the the DET cana-5709 74 49 constant constant ADJ cana-5709 74 50 of of ADP cana-5709 74 51 proportionality proportionality NOUN cana-5709 74 52 𝜏 𝜏 NOUN cana-5709 74 53 , , PUNCT cana-5709 74 54 which which PRON cana-5709 74 55 reflects reflect VERB cana-5709 74 56 the the DET cana-5709 74 57 time time NOUN cana-5709 74 58 frame frame NOUN cana-5709 74 59 of of ADP cana-5709 74 60 the the DET cana-5709 74 61 delay delay NOUN cana-5709 74 62 , , PUNCT cana-5709 74 63 is be AUX cana-5709 74 64 also also ADV cana-5709 74 65 present present ADJ cana-5709 74 66 . . PUNCT cana-5709 75 1 the the DET cana-5709 75 2 parameters parameter NOUN cana-5709 75 3 are be AUX cana-5709 75 4 as as SCONJ cana-5709 75 5 follows follow VERB cana-5709 75 6 : : PUNCT cana-5709 75 7 s s VERB cana-5709 75 8 represents represent VERB cana-5709 75 9 the the DET cana-5709 75 10 precursors precursor NOUN cana-5709 75 11 source source NOUN cana-5709 75 12 of of ADP cana-5709 75 13 cd4+tcells cd4+tcell NOUN cana-5709 75 14 , , PUNCT cana-5709 75 15 ¡𝑇 ¡𝑇 VERB cana-5709 75 16 indicates indicate VERB cana-5709 75 17 the the DET cana-5709 75 18 natural natural ADJ cana-5709 75 19 death death NOUN cana-5709 75 20 rate rate NOUN cana-5709 75 21 of of ADP cana-5709 75 22 cd4+t cd4+t ADJ cana-5709 75 23 - - PUNCT cana-5709 75 24 cells cell NOUN cana-5709 75 25 , , PUNCT cana-5709 75 26 r r NOUN cana-5709 75 27 represents represent VERB cana-5709 75 28 their their PRON cana-5709 75 29 rate rate NOUN cana-5709 75 30 of of ADP cana-5709 75 31 growth growth NOUN cana-5709 75 32 ( ( PUNCT cana-5709 75 33 therefore therefore ADV cana-5709 75 34 , , PUNCT cana-5709 75 35 π‘Ÿ π‘Ÿ X cana-5709 75 36 > > PUNCT cana-5709 75 37 ¡𝑇 ¡𝑇 VERB cana-5709 75 38 generally generally ADV cana-5709 75 39 ) ) PUNCT cana-5709 75 40 , , PUNCT cana-5709 75 41 and and CCONJ cana-5709 75 42 π‘ˆπ‘π‘šπ‘Žπ‘₯ π‘ˆπ‘π‘šπ‘Žπ‘₯ PROPN cana-5709 75 43 defines define VERB cana-5709 75 44 their their PRON cana-5709 75 45 carrying carrying NOUN cana-5709 75 46 capacity capacity NOUN cana-5709 75 47 . . PUNCT cana-5709 76 1 given give VERB cana-5709 76 2 as as ADP cana-5709 76 3 a a DET cana-5709 76 4 loss loss NOUN cana-5709 76 5 term term NOUN cana-5709 76 6 for for ADP cana-5709 76 7 both both CCONJ cana-5709 76 8 healthy healthy ADJ cana-5709 76 9 cells cell NOUN cana-5709 76 10 and and CCONJ cana-5709 76 11 virus virus NOUN cana-5709 76 12 since since SCONJ cana-5709 76 13 they they PRON cana-5709 76 14 are be AUX cana-5709 76 15 both both PRON cana-5709 76 16 lost lose VERB cana-5709 76 17 by by ADP cana-5709 76 18 binding bind VERB cana-5709 76 19 to to ADP cana-5709 76 20 one one NUM cana-5709 76 21 another another DET cana-5709 76 22 and and CCONJ cana-5709 76 23 as as ADP cana-5709 76 24 the the DET cana-5709 76 25 source source NOUN cana-5709 76 26 term term NOUN cana-5709 76 27 for for ADP cana-5709 76 28 infected infected ADJ cana-5709 76 29 cells cell NOUN cana-5709 76 30 , , PUNCT cana-5709 76 31 the the DET cana-5709 76 32 parameter parameter NOUN cana-5709 76 33 π‘˜1 π‘˜1 PROPN cana-5709 76 34 describes describe VERB cana-5709 76 35 the the DET cana-5709 76 36 rate rate NOUN cana-5709 76 37 of of ADP cana-5709 76 38 infection infection NOUN cana-5709 76 39 of of ADP cana-5709 76 40 t t PROPN cana-5709 76 41 - - PUNCT cana-5709 76 42 cells cell NOUN cana-5709 76 43 with with ADP cana-5709 76 44 free free ADJ cana-5709 76 45 virus virus NOUN cana-5709 76 46 . . PUNCT cana-5709 77 1 since since SCONJ cana-5709 77 2 both both DET cana-5709 77 3 healthy healthy ADJ cana-5709 77 4 cells cell NOUN cana-5709 77 5 and and CCONJ cana-5709 77 6 viruses virus NOUN cana-5709 77 7 are be AUX cana-5709 77 8 lost lose VERB cana-5709 77 9 via via ADP cana-5709 77 10 attaching attach VERB cana-5709 77 11 to to ADP cana-5709 77 12 one one NUM cana-5709 77 13 another another DET cana-5709 77 14 , , PUNCT cana-5709 77 15 issued issue VERB cana-5709 77 16 as as ADP cana-5709 77 17 a a DET cana-5709 77 18 loss loss NOUN cana-5709 77 19 term term NOUN cana-5709 77 20 for for ADP cana-5709 77 21 both both PRON cana-5709 77 22 , , PUNCT cana-5709 77 23 while while SCONJ cana-5709 77 24 also also ADV cana-5709 77 25 serving serve VERB cana-5709 77 26 as as ADP cana-5709 77 27 the the DET cana-5709 77 28 parameter parameter NOUN cana-5709 77 29 for for ADP cana-5709 77 30 infected infected ADJ cana-5709 77 31 cells cell NOUN cana-5709 77 32 . . PUNCT cana-5709 78 1 the the DET cana-5709 78 2 ratio ratio NOUN cana-5709 78 3 π‘˜1 π‘˜1 PROPN cana-5709 78 4 β€² β€² PROPN cana-5709 78 5 π‘˜1 π‘˜1 PROPN cana-5709 78 6 represents represent VERB cana-5709 78 7 the the DET cana-5709 78 8 proportion proportion NOUN cana-5709 78 9 of of ADP cana-5709 78 10 t t NOUN cana-5709 78 11 - - PUNCT cana-5709 78 12 cells cell NOUN cana-5709 78 13 that that PRON cana-5709 78 14 ever ever ADV cana-5709 78 15 become become AUX cana-5709 78 16 actively actively ADV cana-5709 78 17 infected infect VERB cana-5709 78 18 . . PUNCT cana-5709 79 1 π‘˜1 π‘˜1 PROPN cana-5709 79 2 β€² β€² NUM cana-5709 79 3 indicates indicate VERB cana-5709 79 4 the the DET cana-5709 79 5 rate rate NOUN cana-5709 79 6 at at ADP cana-5709 79 7 which which PRON cana-5709 79 8 infected infected ADJ cana-5709 79 9 cells cell NOUN cana-5709 79 10 become become AUX cana-5709 79 11 actively actively ADV cana-5709 79 12 infected infect VERB cana-5709 79 13 . . PUNCT cana-5709 80 1 to to PART cana-5709 80 2 reflect reflect VERB cana-5709 80 3 the the DET cana-5709 80 4 presumption presumption NOUN cana-5709 80 5 that that SCONJ cana-5709 80 6 we we PRON cana-5709 80 7 initially initially ADV cana-5709 80 8 do do AUX cana-5709 80 9 - - PUNCT cana-5709 80 10 not not PART cana-5709 80 11 know know VERB cana-5709 80 12 whether whether SCONJ cana-5709 80 13 the the DET cana-5709 80 14 cells cell NOUN cana-5709 80 15 die die VERB cana-5709 80 16 normally normally ADV cana-5709 80 17 or or CCONJ cana-5709 80 18 via via ADP cana-5709 80 19 bursting bursting NOUN cana-5709 80 20 , , PUNCT cana-5709 80 21 ¡𝐼 ¡𝐼 X cana-5709 80 22 is be AUX cana-5709 80 23 a a DET cana-5709 80 24 general general ADJ cana-5709 80 25 word word NOUN cana-5709 80 26 for for ADP cana-5709 80 27 the the DET cana-5709 80 28 death death NOUN cana-5709 80 29 of of ADP cana-5709 80 30 infected infected ADJ cana-5709 80 31 cells cell NOUN cana-5709 80 32 . . PUNCT cana-5709 81 1 to to PART cana-5709 81 2 describe describe VERB cana-5709 81 3 the the DET cana-5709 81 4 dynamics dynamic NOUN cana-5709 81 5 of of ADP cana-5709 81 6 healthy healthy ADJ cana-5709 81 7 cells cell NOUN cana-5709 81 8 , , PUNCT cana-5709 81 9 a a DET cana-5709 81 10 time time NOUN cana-5709 81 11 delay delay NOUN cana-5709 81 12 is be AUX cana-5709 81 13 added add VERB cana-5709 81 14 to to ADP cana-5709 81 15 the the DET cana-5709 81 16 system system NOUN cana-5709 81 17 . . PUNCT cana-5709 82 1 only only ADV cana-5709 82 2 healthy healthy ADJ cana-5709 82 3 cells cell NOUN cana-5709 82 4 that that PRON cana-5709 82 5 the the DET cana-5709 82 6 virus virus NOUN cana-5709 82 7 infected infect VERB cana-5709 82 8 Ο„ Ο„ PROPN cana-5709 82 9 time time NOUN cana-5709 82 10 units unit NOUN cana-5709 82 11 ago(i.e ago(i.e ADV cana-5709 82 12 . . PUNCT cana-5709 83 1 ,at ,at PUNCT cana-5709 83 2 time(tβˆ’Ο„ time(tβˆ’Ο„ PROPN cana-5709 83 3 ) ) PUNCT cana-5709 83 4 become become VERB cana-5709 83 5 infectious infectious ADJ cana-5709 83 6 at at ADP cana-5709 83 7 time time NOUN cana-5709 83 8 t. t. PROPN cana-5709 83 9 thus thus ADV cana-5709 83 10 , , PUNCT cana-5709 83 11 the the DET cana-5709 83 12 incidence incidence ADJ cana-5709 83 13 term term NOUN cana-5709 83 14 of of ADP cana-5709 83 15 healthy healthy ADJ cana-5709 83 16 cells cell NOUN cana-5709 83 17 is be AUX cana-5709 83 18 changed change VERB cana-5709 83 19 from from ADP cana-5709 83 20 π‘˜1 π‘˜1 PROPN cana-5709 83 21 β€²π‘ˆπ‘(𝑑)𝐹𝑣(𝑑 β€²π‘ˆπ‘(𝑑)𝐹𝑣(𝑑 PROPN cana-5709 83 22 ) ) PUNCT cana-5709 83 23 to to PART cana-5709 83 24 π‘˜1 π‘˜1 VERB cana-5709 83 25 β€²π‘ˆπ‘(𝑑 β€²π‘ˆπ‘(𝑑 ADP cana-5709 83 26 βˆ’ βˆ’ PROPN cana-5709 83 27 𝜏)𝐹𝑣(𝑑 𝜏)𝐹𝑣(𝑑 NOUN cana-5709 83 28 βˆ’ βˆ’ NOUN cana-5709 83 29 𝜏 𝜏 NOUN cana-5709 83 30 ) ) PUNCT cana-5709 83 31 . . PUNCT cana-5709 84 1 additionally additionally ADV cana-5709 84 2 , , PUNCT cana-5709 84 3 the the DET cana-5709 84 4 catalytic catalytic ADJ cana-5709 84 5 mortality mortality NOUN cana-5709 84 6 rate rate NOUN cana-5709 84 7 for for ADP cana-5709 84 8 virus virus NOUN cana-5709 84 9 particles particle NOUN cana-5709 84 10 is be AUX cana-5709 84 11 ¡𝑏.each ¡𝑏.each ADV cana-5709 84 12 lysing lyse VERB cana-5709 84 13 proved prove VERB cana-5709 84 14 to to PART cana-5709 84 15 possess possess VERB cana-5709 84 16 n n DET cana-5709 84 17 viral viral ADJ cana-5709 84 18 particles particle NOUN cana-5709 84 19 , , PUNCT cana-5709 84 20 hence hence ADV cana-5709 84 21 this this DET cana-5709 84 22 term term NOUN cana-5709 84 23 is be AUX cana-5709 84 24 multiplied multiply VERB cana-5709 84 25 by by ADP cana-5709 84 26 n n X cana-5709 84 27 to to PART cana-5709 84 28 indicate indicate VERB cana-5709 84 29 the the DET cana-5709 84 30 source source NOUN cana-5709 84 31 of of ADP cana-5709 84 32 free free ADJ cana-5709 84 33 virus virus NOUN cana-5709 84 34 ( ( PUNCT cana-5709 84 35 assuming assume VERB cana-5709 84 36 a a DET cana-5709 84 37 one one NUM cana-5709 84 38 - - PUNCT cana-5709 84 39 time time NOUN cana-5709 84 40 initial initial ADJ cana-5709 84 41 infection infection NOUN cana-5709 84 42 ) ) PUNCT cana-5709 84 43 . . PUNCT cana-5709 85 1 finally finally ADV cana-5709 85 2 , , PUNCT cana-5709 85 3 ¡𝑉 ¡𝑉 PROPN cana-5709 85 4 is be AUX cana-5709 85 5 the the DET cana-5709 85 6 viral viral ADJ cana-5709 85 7 loss loss NOUN cana-5709 85 8 rate rate NOUN cana-5709 85 9 . . PUNCT cana-5709 86 1 3 3 X cana-5709 86 2 . . X cana-5709 86 3 linearization linearization NOUN cana-5709 86 4 technique technique NOUN cana-5709 86 5 ( ( PUNCT cana-5709 86 6 i)to i)to PROPN cana-5709 86 7 find find VERB cana-5709 86 8 the the DET cana-5709 86 9 equilibrium equilibrium NOUN cana-5709 86 10 points point NOUN cana-5709 86 11 determining determine VERB cana-5709 86 12 the the DET cana-5709 86 13 values value NOUN cana-5709 86 14 of of ADP cana-5709 86 15 equilibrium equilibrium NOUN cana-5709 86 16 is be AUX cana-5709 86 17 required require VERB cana-5709 86 18 in in ADP cana-5709 86 19 order order NOUN cana-5709 86 20 to to PART cana-5709 86 21 adequately adequately ADV cana-5709 86 22 comprehend comprehend VERB cana-5709 86 23 the the DET cana-5709 86 24 dynamics dynamic NOUN cana-5709 86 25 of of ADP cana-5709 86 26 the the DET cana-5709 86 27 three three NUM cana-5709 86 28 - - PUNCT cana-5709 86 29 component component NOUN cana-5709 86 30 model model NOUN cana-5709 86 31 . . PUNCT cana-5709 87 1 a a DET cana-5709 87 2 system system NOUN cana-5709 87 3 ’s ’s PART cana-5709 87 4 equilibrium equilibrium NOUN cana-5709 87 5 point point NOUN cana-5709 87 6 is be AUX cana-5709 87 7 a a DET cana-5709 87 8 stable stable ADJ cana-5709 87 9 solution solution NOUN cana-5709 87 10 , , PUNCT cana-5709 87 11 ( ( PUNCT cana-5709 87 12 2.1 2.1 NUM cana-5709 87 13 ) ) PUNCT cana-5709 87 14 indicating indicate VERB cana-5709 87 15 that that SCONJ cana-5709 87 16 if if SCONJ cana-5709 87 17 the the DET cana-5709 87 18 system system NOUN cana-5709 87 19 starts start VERB cana-5709 87 20 out out ADP cana-5709 87 21 at at ADP cana-5709 87 22 that that DET cana-5709 87 23 value value NOUN cana-5709 87 24 , , PUNCT cana-5709 87 25 it it PRON cana-5709 87 26 will will AUX cana-5709 87 27 stay stay VERB cana-5709 87 28 there there ADV cana-5709 87 29 forever forever ADV cana-5709 87 30 . . PUNCT cana-5709 88 1 in in ADP cana-5709 88 2 other other ADJ cana-5709 88 3 words word NOUN cana-5709 88 4 , , PUNCT cana-5709 88 5 the the DET cana-5709 88 6 inhabitants inhabitant NOUN cana-5709 88 7 are be AUX cana-5709 88 8 static static ADJ cana-5709 88 9 , , PUNCT cana-5709 88 10 and and CCONJ cana-5709 88 11 as as ADP cana-5709 88 12 a a DET cana-5709 88 13 result result NOUN cana-5709 88 14 , , PUNCT cana-5709 88 15 each each DET cana-5709 88 16 population population NOUN cana-5709 88 17 ’s ’s PART cana-5709 88 18 rate rate NOUN cana-5709 88 19 of of ADP cana-5709 88 20 change change NOUN cana-5709 88 21 is be AUX cana-5709 88 22 zero zero NUM cana-5709 88 23 . . PUNCT cana-5709 89 1 two two NUM cana-5709 89 2 steady steady ADJ cana-5709 89 3 states state NOUN cana-5709 89 4 exist exist VERB cana-5709 89 5 for for ADP cana-5709 89 6 the the DET cana-5709 89 7 system system NOUN cana-5709 89 8 : : PUNCT cana-5709 89 9 ( ( PUNCT cana-5709 89 10 i i NOUN cana-5709 89 11 ) ) PUNCT cana-5709 89 12 the the DET cana-5709 89 13 uninfected uninfected ADJ cana-5709 89 14 steady steady ADJ cana-5709 89 15 state state NOUN cana-5709 89 16 𝐸0 𝐸0 NOUN cana-5709 89 17 = = SYM cana-5709 89 18 ( ( PUNCT cana-5709 89 19 [ [ X cana-5709 89 20 π‘ˆπ‘0(𝑑 π‘ˆπ‘0(𝑑 NOUN cana-5709 89 21 ) ) PUNCT cana-5709 89 22 ] ] PUNCT cana-5709 90 1 𝛼 𝛼 X cana-5709 90 2 , , PUNCT cana-5709 90 3 0,0 0,0 NOUN cana-5709 90 4 ) ) PUNCT cana-5709 90 5 , , PUNCT cana-5709 90 6 where where SCONJ cana-5709 90 7 [ [ X cana-5709 90 8 π‘ˆπ‘0(𝑑 π‘ˆπ‘0(𝑑 NUM cana-5709 90 9 ) ) PUNCT cana-5709 90 10 ] ] PUNCT cana-5709 91 1 𝛼 𝛼 X cana-5709 91 2 is be AUX cana-5709 91 3 given give VERB cana-5709 91 4 by by ADP cana-5709 91 5 [ [ X cana-5709 91 6 π‘ˆπ‘0(𝑑 π‘ˆπ‘0(𝑑 NOUN cana-5709 91 7 ) ) PUNCT cana-5709 91 8 ] ] PUNCT cana-5709 92 1 𝛼 𝛼 X cana-5709 92 2 = = X cana-5709 93 1 [ [ PUNCT cana-5709 93 2 π‘Ÿ π‘Ÿ X cana-5709 93 3 βˆ’ βˆ’ PROPN cana-5709 93 4 πœ‡π‘‡[(π‘Ÿ πœ‡π‘‡[(π‘Ÿ PROPN cana-5709 93 5 βˆ’ βˆ’ PROPN cana-5709 93 6 πœ‡π‘‡ πœ‡π‘‡ NOUN cana-5709 93 7 ) ) PUNCT cana-5709 93 8 2 2 NUM cana-5709 94 1 + + NUM cana-5709 94 2 4π‘Ÿπ‘ π‘ˆπ‘ 4π‘Ÿπ‘ π‘ˆπ‘ NUM cana-5709 94 3 βˆ’1 βˆ’1 NOUN cana-5709 94 4 π‘šπ‘Žπ‘₯ π‘šπ‘Žπ‘₯ NOUN cana-5709 94 5 ] ] PUNCT cana-5709 94 6 1/2 1/2 NUM cana-5709 94 7 2π‘Ÿπ‘ˆπ‘π‘šπ‘Žπ‘₯βˆ’1 2π‘Ÿπ‘ˆπ‘π‘šπ‘Žπ‘₯βˆ’1 NOUN cana-5709 94 8 ] ] PUNCT cana-5709 95 1 [ [ X cana-5709 95 2 𝐹1(𝛼 𝐹1(𝛼 NOUN cana-5709 95 3 ) ) PUNCT cana-5709 95 4 ] ] PUNCT cana-5709 95 5 . . PUNCT cana-5709 96 1 ( ( PUNCT cana-5709 96 2 ii ii X cana-5709 96 3 ) ) PUNCT cana-5709 96 4 the the DET cana-5709 96 5 positively positively ADV cana-5709 96 6 infected infect VERB cana-5709 96 7 steady steady ADJ cana-5709 96 8 state state NOUN cana-5709 96 9 [ [ X cana-5709 96 10 οΏ½ οΏ½ NOUN cana-5709 96 11 Μ… Μ… NOUN cana-5709 96 12 οΏ½ οΏ½ NOUN cana-5709 96 13 (𝑑)]𝛼 (𝑑)]𝛼 NOUN cana-5709 96 14 = = SYM cana-5709 96 15 ( ( PUNCT cana-5709 96 16 [ [ X cana-5709 96 17 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NUM cana-5709 96 18 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 96 19 ) ) PUNCT cana-5709 96 20 ] ] PUNCT cana-5709 97 1 𝛼 𝛼 X cana-5709 97 2 , , PUNCT cana-5709 97 3 [ [ X cana-5709 97 4 𝐼 𝐼 PROPN cana-5709 97 5 οΏ½ οΏ½ PROPN cana-5709 97 6 Μ… Μ… NOUN cana-5709 97 7 οΏ½ οΏ½ NOUN cana-5709 97 8 (𝑑 (𝑑 NOUN cana-5709 97 9 ) ) PUNCT cana-5709 97 10 ] ] PUNCT cana-5709 97 11 𝛼 𝛼 X cana-5709 97 12 , , PUNCT cana-5709 97 13 [ [ X cana-5709 97 14 𝐹 𝐹 PROPN cana-5709 97 15 οΏ½ οΏ½ PROPN cana-5709 97 16 Μ… Μ… NOUN cana-5709 97 17 οΏ½ οΏ½ NOUN cana-5709 97 18 (𝑑 (𝑑 NOUN cana-5709 97 19 ) ) PUNCT cana-5709 97 20 ] ] PUNCT cana-5709 97 21 𝛼 𝛼 X cana-5709 97 22 ) ) PUNCT cana-5709 97 23 , , PUNCT cana-5709 97 24 where where SCONJ cana-5709 97 25 [ [ X cana-5709 97 26 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NOUN cana-5709 97 27 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 97 28 ) ) PUNCT cana-5709 97 29 ] ] PUNCT cana-5709 98 1 𝛼 𝛼 X cana-5709 98 2 , , PUNCT cana-5709 98 3 [ [ X cana-5709 98 4 𝐼 𝐼 PROPN cana-5709 98 5 οΏ½ οΏ½ PROPN cana-5709 98 6 Μ… Μ… NOUN cana-5709 98 7 οΏ½ οΏ½ NOUN cana-5709 98 8 (𝑑 (𝑑 NOUN cana-5709 98 9 ) ) PUNCT cana-5709 98 10 ] ] PUNCT cana-5709 98 11 𝛼 𝛼 X cana-5709 98 12 , , PUNCT cana-5709 98 13 [ [ X cana-5709 98 14 𝐹 𝐹 PROPN cana-5709 98 15 οΏ½ οΏ½ PROPN cana-5709 98 16 Μ… Μ… NOUN cana-5709 98 17 οΏ½ οΏ½ NOUN cana-5709 98 18 (𝑑 (𝑑 NOUN cana-5709 98 19 ) ) PUNCT cana-5709 98 20 ] ] PUNCT cana-5709 98 21 𝛼 𝛼 PRON cana-5709 98 22 are be AUX cana-5709 98 23 given give VERB cana-5709 98 24 by by ADP cana-5709 98 25 [ [ X cana-5709 98 26 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… PROPN cana-5709 98 27 Μ…(𝑑 Μ…(𝑑 PROPN cana-5709 98 28 ) ) PUNCT cana-5709 98 29 ] ] PUNCT cana-5709 99 1 𝛼 𝛼 X cana-5709 99 2 = = SYM cana-5709 99 3 ( ( PUNCT cana-5709 99 4 πœ‡πΉπ‘£πœ‡πΌπ‘ πœ‡πΉπ‘£πœ‡πΌπ‘ PROPN cana-5709 99 5 π‘˜1 π‘˜1 PROPN cana-5709 99 6 β€²π‘πœ‡π‘ β€²π‘πœ‡π‘ PROPN cana-5709 99 7 βˆ’ βˆ’ PROPN cana-5709 99 8 π‘˜1πœ‡πΌπ‘ π‘˜1πœ‡πΌπ‘ PROPN cana-5709 99 9 ) ) PUNCT cana-5709 100 1 [ [ X cana-5709 100 2 𝐹1(𝛼 𝐹1(𝛼 NOUN cana-5709 100 3 ) ) PUNCT cana-5709 100 4 ] ] PUNCT cana-5709 100 5 , , PUNCT cana-5709 100 6 [ [ X cana-5709 100 7 𝐼 𝐼 PROPN cana-5709 100 8 οΏ½ οΏ½ PROPN cana-5709 100 9 Μ… Μ… NOUN cana-5709 100 10 οΏ½ οΏ½ NOUN cana-5709 100 11 (𝑑 (𝑑 NOUN cana-5709 100 12 ) ) PUNCT cana-5709 100 13 ] ] PUNCT cana-5709 101 1 𝛼 𝛼 X cana-5709 101 2 = = SYM cana-5709 101 3 ( ( PUNCT cana-5709 101 4 π‘˜1 π‘˜1 PROPN cana-5709 101 5 β€²π‘ˆπ‘πΉπ‘£Μ…Μ… β€²π‘ˆπ‘πΉπ‘£Μ…Μ… PROPN cana-5709 101 6 Μ…Μ… Μ…Μ… PROPN cana-5709 101 7 Μ…Μ… Μ…Μ… PROPN cana-5709 101 8 πœ‡πΌπ‘ πœ‡πΌπ‘ PROPN cana-5709 101 9 ) ) PUNCT cana-5709 102 1 [ [ X cana-5709 102 2 𝐹2(𝛼 𝐹2(𝛼 NOUN cana-5709 102 3 ) ) PUNCT cana-5709 102 4 ] ] PUNCT cana-5709 102 5 , , PUNCT cana-5709 103 1 [ [ X cana-5709 103 2 𝐹 𝐹 PROPN cana-5709 103 3 οΏ½ οΏ½ PROPN cana-5709 103 4 Μ… Μ… NOUN cana-5709 103 5 οΏ½ οΏ½ NOUN cana-5709 103 6 (𝑑 (𝑑 NOUN cana-5709 103 7 ) ) PUNCT cana-5709 103 8 ] ] PUNCT cana-5709 103 9 𝛼 𝛼 X cana-5709 103 10 = = SYM cana-5709 103 11 ( ( PUNCT cana-5709 103 12 πœ‡πΌπ‘ πœ‡πΌπ‘ X cana-5709 103 13 [ [ X cana-5709 103 14 ( ( PUNCT cana-5709 103 15 𝑠 𝑠 PROPN cana-5709 103 16 + + NUM cana-5709 103 17 ( ( PUNCT cana-5709 103 18 π‘Ÿ π‘Ÿ NOUN cana-5709 103 19 βˆ’ βˆ’ ADV cana-5709 103 20 πœ‡π‘ˆπ‘)π‘ˆπ‘Μ…Μ… πœ‡π‘ˆπ‘)π‘ˆπ‘Μ…Μ… X cana-5709 103 21 Μ…)π‘ˆπ‘π‘šπ‘Žπ‘₯ Μ…)π‘ˆπ‘π‘šπ‘Žπ‘₯ NUM cana-5709 103 22 βˆ’ βˆ’ NUM cana-5709 103 23 π‘Ÿπ‘ˆπ‘Μ…Μ… π‘Ÿπ‘ˆπ‘Μ…Μ… NUM cana-5709 103 24 Μ… Μ… NOUN cana-5709 103 25 2 2 NUM cana-5709 103 26 ] ] PUNCT cana-5709 103 27 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… X cana-5709 103 28 Μ…[π‘˜1 Μ…[π‘˜1 X cana-5709 103 29 β€²π‘Ÿπ‘ˆπ‘Μ…Μ… β€²π‘Ÿπ‘ˆπ‘Μ…Μ… NUM cana-5709 103 30 Μ… Μ… NOUN cana-5709 103 31 + + X cana-5709 103 32 π‘˜1πœ‡1π‘ˆπ‘π‘šπ‘Žπ‘₯ π‘˜1πœ‡1π‘ˆπ‘π‘šπ‘Žπ‘₯ X cana-5709 103 33 ] ] PUNCT cana-5709 103 34 ) ) PUNCT cana-5709 104 1 [ [ X cana-5709 104 2 𝐹3(𝛼 𝐹3(𝛼 NUM cana-5709 104 3 ) ) PUNCT cana-5709 104 4 ] ] PUNCT cana-5709 104 5 . . PUNCT cana-5709 105 1 communications communication NOUN cana-5709 105 2 on on ADP cana-5709 105 3 applied apply VERB cana-5709 105 4 nonlinear nonlinear ADJ cana-5709 105 5 analysis analysis NOUN cana-5709 105 6 issn issn NOUN cana-5709 105 7 : : PUNCT cana-5709 105 8 1074 1074 NUM cana-5709 105 9 - - PUNCT cana-5709 105 10 133x 133x NUM cana-5709 105 11 vol vol VERB cana-5709 105 12 32 32 NUM cana-5709 105 13 no no NOUN cana-5709 105 14 . . PUNCT cana-5709 106 1 10s 10 NOUN cana-5709 106 2 ( ( PUNCT cana-5709 106 3 2025 2025 NUM cana-5709 106 4 ) ) PUNCT cana-5709 106 5 2687 2687 NUM cana-5709 106 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 106 7 using use VERB cana-5709 106 8 the the DET cana-5709 106 9 parameter parameter NOUN cana-5709 106 10 values value NOUN cana-5709 106 11 in in ADP cana-5709 106 12 table table NOUN cana-5709 106 13 , , PUNCT cana-5709 106 14 we we PRON cana-5709 106 15 find find VERB cana-5709 106 16 the the DET cana-5709 106 17 three three NUM cana-5709 106 18 fixed(or fixed(or ADJ cana-5709 106 19 ) ) PUNCT cana-5709 106 20 equilibrium equilibrium NOUN cana-5709 106 21 points point NOUN cana-5709 106 22 of of ADP cana-5709 106 23 the the DET cana-5709 106 24 system system NOUN cana-5709 106 25 ( ( PUNCT cana-5709 106 26 2.1 2.1 NUM cana-5709 106 27 ) ) PUNCT cana-5709 106 28 are be AUX cana-5709 106 29 , , PUNCT cana-5709 106 30 ( ( PUNCT cana-5709 106 31 i i NOUN cana-5709 106 32 ) ) PUNCT cana-5709 106 33 initially initially ADV cana-5709 106 34 : : PUNCT cana-5709 107 1 [ [ X cana-5709 107 2 𝐸0 𝐸0 X cana-5709 107 3 ] ] X cana-5709 107 4 𝛼 𝛼 X cana-5709 107 5 = = SYM cana-5709 107 6 ( ( PUNCT cana-5709 107 7 [ [ X cana-5709 107 8 π‘ˆπ‘0 π‘ˆπ‘0 X cana-5709 107 9 ] ] X cana-5709 107 10 𝛼 𝛼 X cana-5709 107 11 , , PUNCT cana-5709 107 12 0 0 NUM cana-5709 107 13 , , PUNCT cana-5709 107 14 0 0 NUM cana-5709 107 15 ) ) PUNCT cana-5709 107 16 = = NOUN cana-5709 107 17 ( ( PUNCT cana-5709 107 18 1000 1000 NUM cana-5709 107 19 , , PUNCT cana-5709 107 20 0 0 NUM cana-5709 107 21 , , PUNCT cana-5709 107 22 0 0 NUM cana-5709 107 23 ) ) PUNCT cana-5709 107 24 , , PUNCT cana-5709 107 25 ( ( PUNCT cana-5709 107 26 ii ii NOUN cana-5709 107 27 ) ) PUNCT cana-5709 107 28 for for ADP cana-5709 107 29 n=500 n=500 NUM cana-5709 107 30 ; ; PUNCT cana-5709 107 31 [ [ X cana-5709 107 32 οΏ½ οΏ½ NOUN cana-5709 107 33 Μ… Μ… NOUN cana-5709 107 34 οΏ½ οΏ½ NOUN cana-5709 107 35 (𝑑)]𝛼 (𝑑)]𝛼 NOUN cana-5709 107 36 = = SYM cana-5709 107 37 ( ( PUNCT cana-5709 107 38 [ [ X cana-5709 107 39 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NUM cana-5709 107 40 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 107 41 ) ) PUNCT cana-5709 107 42 ] ] PUNCT cana-5709 108 1 𝛼 𝛼 X cana-5709 108 2 , , PUNCT cana-5709 108 3 [ [ X cana-5709 108 4 𝐼 𝐼 PROPN cana-5709 108 5 οΏ½ οΏ½ PROPN cana-5709 108 6 Μ… Μ… NOUN cana-5709 108 7 οΏ½ οΏ½ NOUN cana-5709 108 8 (𝑑 (𝑑 NOUN cana-5709 108 9 ) ) PUNCT cana-5709 108 10 ] ] PUNCT cana-5709 108 11 𝛼 𝛼 X cana-5709 108 12 , , PUNCT cana-5709 108 13 [ [ X cana-5709 108 14 𝐹 𝐹 PROPN cana-5709 108 15 οΏ½ οΏ½ PROPN cana-5709 108 16 Μ… Μ… NOUN cana-5709 108 17 οΏ½ οΏ½ NOUN cana-5709 108 18 (𝑑 (𝑑 NOUN cana-5709 108 19 ) ) PUNCT cana-5709 108 20 ] ] PUNCT cana-5709 108 21 𝛼 𝛼 X cana-5709 108 22 ) ) PUNCT cana-5709 108 23 = = SYM cana-5709 108 24 ( ( PUNCT cana-5709 108 25 260.7[𝐹1(𝛼 260.7[𝐹1(𝛼 NUM cana-5709 108 26 ) ) PUNCT cana-5709 108 27 ] ] PUNCT cana-5709 108 28 , , PUNCT cana-5709 108 29 35.5[𝐹2(𝛼 35.5[𝐹2(𝛼 NUM cana-5709 108 30 ) ) PUNCT cana-5709 108 31 ] ] PUNCT cana-5709 108 32 , , PUNCT cana-5709 108 33 1768.2[𝐹3(𝛼 1768.2[𝐹3(𝛼 NUM cana-5709 108 34 ) ) PUNCT cana-5709 108 35 ] ] PUNCT cana-5709 108 36 ) ) PUNCT cana-5709 108 37 ( ( PUNCT cana-5709 108 38 iii iii NOUN cana-5709 108 39 ) ) PUNCT cana-5709 108 40 for for ADP cana-5709 108 41 n=1000 n=1000 PROPN cana-5709 108 42 ; ; PUNCT cana-5709 108 43 [ [ PUNCT cana-5709 108 44 οΏ½ οΏ½ NOUN cana-5709 108 45 Μ… Μ… NOUN cana-5709 108 46 οΏ½ οΏ½ NOUN cana-5709 108 47 (𝑑)]𝛼 (𝑑)]𝛼 NOUN cana-5709 108 48 = = SYM cana-5709 108 49 ( ( PUNCT cana-5709 108 50 [ [ X cana-5709 108 51 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NUM cana-5709 108 52 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 108 53 ) ) PUNCT cana-5709 108 54 ] ] PUNCT cana-5709 109 1 𝛼 𝛼 X cana-5709 109 2 , , PUNCT cana-5709 109 3 [ [ X cana-5709 109 4 𝐼 𝐼 PROPN cana-5709 109 5 οΏ½ οΏ½ PROPN cana-5709 109 6 Μ… Μ… NOUN cana-5709 109 7 οΏ½ οΏ½ NOUN cana-5709 109 8 (𝑑 (𝑑 NOUN cana-5709 109 9 ) ) PUNCT cana-5709 109 10 ] ] PUNCT cana-5709 109 11 𝛼 𝛼 X cana-5709 109 12 , , PUNCT cana-5709 109 13 [ [ X cana-5709 109 14 𝐹 𝐹 PROPN cana-5709 109 15 οΏ½ οΏ½ PROPN cana-5709 109 16 Μ… Μ… NOUN cana-5709 109 17 οΏ½ οΏ½ NOUN cana-5709 109 18 (𝑑 (𝑑 NOUN cana-5709 109 19 ) ) PUNCT cana-5709 109 20 ] ] PUNCT cana-5709 109 21 𝛼 𝛼 X cana-5709 109 22 ) ) PUNCT cana-5709 109 23 = = SYM cana-5709 109 24 ( ( PUNCT cana-5709 109 25 130.2[𝐹1(𝛼 130.2[𝐹1(𝛼 NUM cana-5709 109 26 ) ) PUNCT cana-5709 109 27 ] ] PUNCT cana-5709 109 28 , , PUNCT cana-5709 109 29 34.9[𝐹2(𝛼 34.9[𝐹2(𝛼 NUM cana-5709 109 30 ) ) PUNCT cana-5709 109 31 ] ] PUNCT cana-5709 109 32 , , PUNCT cana-5709 109 33 3480.1[𝐹3(𝛼 3480.1[𝐹3(𝛼 NUM cana-5709 109 34 ) ) PUNCT cana-5709 109 35 ] ] PUNCT cana-5709 109 36 ) ) PUNCT cana-5709 109 37 iii iii X cana-5709 109 38 ) ) PUNCT cana-5709 109 39 to to PART cana-5709 109 40 find find VERB cana-5709 109 41 the the DET cana-5709 109 42 jacobian jacobian ADJ cana-5709 109 43 matrix matrix NOUN cana-5709 109 44 at at ADP cana-5709 109 45 the the DET cana-5709 109 46 equilibrium equilibrium NOUN cana-5709 109 47 points point VERB cana-5709 109 48 the the DET cana-5709 109 49 nonlinear nonlinear ADJ cana-5709 109 50 fuzzy fuzzy ADJ cana-5709 109 51 system system NOUN cana-5709 109 52 ( ( PUNCT cana-5709 109 53 2.1 2.1 NUM cana-5709 109 54 ) ) PUNCT cana-5709 109 55 can can AUX cana-5709 109 56 be be AUX cana-5709 109 57 written write VERB cana-5709 109 58 as as ADP cana-5709 109 59 { { PUNCT cana-5709 109 60 𝑑 𝑑 NOUN cana-5709 109 61 𝑑𝑑 𝑑𝑑 ADP cana-5709 109 62 ( ( PUNCT cana-5709 109 63 [ [ X cana-5709 109 64 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 109 65 ) ) PUNCT cana-5709 109 66 ] ] PUNCT cana-5709 110 1 𝛼 𝛼 X cana-5709 110 2 βˆ’ βˆ’ NOUN cana-5709 111 1 [ [ X cana-5709 111 2 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NUM cana-5709 111 3 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 111 4 ) ) PUNCT cana-5709 111 5 ] ] PUNCT cana-5709 112 1 𝛼 𝛼 X cana-5709 112 2 ) ) PUNCT cana-5709 112 3 = = SYM cana-5709 112 4 𝑀([π‘ˆπ‘(𝑑 𝑀([π‘ˆπ‘(𝑑 NOUN cana-5709 112 5 ) ) PUNCT cana-5709 112 6 ] ] PUNCT cana-5709 113 1 𝛼 𝛼 X cana-5709 113 2 βˆ’ βˆ’ NOUN cana-5709 114 1 [ [ X cana-5709 114 2 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NUM cana-5709 114 3 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 114 4 ) ) PUNCT cana-5709 114 5 ] ] PUNCT cana-5709 115 1 𝛼 𝛼 X cana-5709 115 2 ) ) PUNCT cana-5709 115 3 βˆ’ βˆ’ PROPN cana-5709 115 4 π‘Ÿπ‘ˆπ‘Μ…Μ… π‘Ÿπ‘ˆπ‘Μ…Μ… NUM cana-5709 115 5 Μ… Μ… NOUN cana-5709 115 6 𝛼 𝛼 X cana-5709 116 1 π‘ˆπ‘π‘šπ‘Žπ‘₯ π‘ˆπ‘π‘šπ‘Žπ‘₯ PROPN cana-5709 116 2 ( ( PUNCT cana-5709 116 3 [ [ X cana-5709 116 4 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 116 5 ) ) PUNCT cana-5709 116 6 ] ] PUNCT cana-5709 117 1 𝛼 𝛼 X cana-5709 117 2 βˆ’ βˆ’ PROPN cana-5709 118 1 [ [ X cana-5709 118 2 𝐼 𝐼 PROPN cana-5709 118 3 οΏ½ οΏ½ PROPN cana-5709 118 4 Μ… Μ… NOUN cana-5709 118 5 οΏ½ οΏ½ NOUN cana-5709 118 6 (𝑑 (𝑑 NOUN cana-5709 118 7 ) ) PUNCT cana-5709 118 8 ] ] PUNCT cana-5709 118 9 𝛼 𝛼 X cana-5709 118 10 ) ) PUNCT cana-5709 118 11 βˆ’π‘˜1[π‘ˆπ‘Μ…Μ… βˆ’π‘˜1[π‘ˆπ‘Μ…Μ… PROPN cana-5709 118 12 Μ…(𝑑 Μ…(𝑑 PROPN cana-5709 118 13 ) ) PUNCT cana-5709 118 14 ] ] PUNCT cana-5709 118 15 𝛼([𝐹𝑣(𝑑 𝛼([𝐹𝑣(𝑑 NOUN cana-5709 118 16 ) ) PUNCT cana-5709 118 17 ] ] PUNCT cana-5709 119 1 𝛼 𝛼 X cana-5709 119 2 βˆ’ βˆ’ PROPN cana-5709 120 1 [ [ X cana-5709 120 2 𝐹 𝐹 PROPN cana-5709 120 3 οΏ½ οΏ½ PROPN cana-5709 120 4 Μ… Μ… NOUN cana-5709 120 5 οΏ½ οΏ½ NOUN cana-5709 120 6 (𝑑 (𝑑 NOUN cana-5709 120 7 ) ) PUNCT cana-5709 120 8 ] ] PUNCT cana-5709 120 9 𝛼 𝛼 X cana-5709 120 10 ) ) PUNCT cana-5709 120 11 , , PUNCT cana-5709 120 12 𝑑 𝑑 NOUN cana-5709 120 13 𝑑𝑑 𝑑𝑑 ADP cana-5709 120 14 ( ( PUNCT cana-5709 120 15 [ [ X cana-5709 120 16 𝐼𝑐(𝑑 𝐼𝑐(𝑑 NOUN cana-5709 120 17 ) ) PUNCT cana-5709 120 18 ] ] PUNCT cana-5709 121 1 𝛼 𝛼 X cana-5709 121 2 βˆ’ βˆ’ PROPN cana-5709 122 1 [ [ X cana-5709 122 2 𝐼 𝐼 PROPN cana-5709 122 3 οΏ½ οΏ½ PROPN cana-5709 122 4 Μ… Μ… NOUN cana-5709 122 5 οΏ½ οΏ½ NOUN cana-5709 122 6 (𝑑 (𝑑 NOUN cana-5709 122 7 ) ) PUNCT cana-5709 122 8 ] ] PUNCT cana-5709 122 9 𝛼 𝛼 X cana-5709 122 10 ) ) PUNCT cana-5709 122 11 = = SYM cana-5709 122 12 π‘˜1 π‘˜1 ADJ cana-5709 122 13 β€² β€² NUM cana-5709 123 1 [ [ X cana-5709 123 2 𝐹 𝐹 PROPN cana-5709 123 3 οΏ½ οΏ½ PROPN cana-5709 123 4 Μ… Μ… NOUN cana-5709 123 5 οΏ½ οΏ½ NOUN cana-5709 123 6 (𝑑 (𝑑 NOUN cana-5709 123 7 ) ) PUNCT cana-5709 123 8 ] ] PUNCT cana-5709 123 9 𝛼([π‘ˆπ‘(𝑑 𝛼([π‘ˆπ‘(𝑑 NOUN cana-5709 123 10 βˆ’ βˆ’ PROPN cana-5709 123 11 𝜏 𝜏 NOUN cana-5709 123 12 ) ) PUNCT cana-5709 123 13 ] ] PUNCT cana-5709 124 1 𝛼 𝛼 X cana-5709 124 2 βˆ’ βˆ’ NOUN cana-5709 125 1 [ [ X cana-5709 125 2 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NUM cana-5709 125 3 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 125 4 ) ) PUNCT cana-5709 125 5 ] ] PUNCT cana-5709 126 1 𝛼 𝛼 X cana-5709 126 2 ) ) PUNCT cana-5709 126 3 βˆ’ βˆ’ PROPN cana-5709 126 4 πœ‡1([𝐼𝑐(𝑑 πœ‡1([𝐼𝑐(𝑑 NOUN cana-5709 126 5 ) ) PUNCT cana-5709 126 6 ] ] PUNCT cana-5709 127 1 𝛼 𝛼 X cana-5709 127 2 βˆ’ βˆ’ PROPN cana-5709 127 3 [ [ X cana-5709 127 4 𝐼 𝐼 PROPN cana-5709 127 5 οΏ½ οΏ½ PROPN cana-5709 127 6 Μ… Μ… NOUN cana-5709 127 7 οΏ½ οΏ½ NOUN cana-5709 127 8 (𝑑 (𝑑 NOUN cana-5709 127 9 ) ) PUNCT cana-5709 127 10 ] ] PUNCT cana-5709 127 11 𝛼 𝛼 X cana-5709 127 12 ) ) PUNCT cana-5709 127 13 + + NOUN cana-5709 127 14 π‘˜1 π‘˜1 ADJ cana-5709 127 15 β€² β€² NUM cana-5709 128 1 [ [ X cana-5709 128 2 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NUM cana-5709 128 3 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 128 4 ) ) PUNCT cana-5709 128 5 ] ] PUNCT cana-5709 128 6 𝛼([𝐹𝑣(𝑑 𝛼([𝐹𝑣(𝑑 NOUN cana-5709 128 7 βˆ’ βˆ’ PROPN cana-5709 128 8 𝜏 𝜏 NOUN cana-5709 128 9 ) ) PUNCT cana-5709 128 10 ] ] PUNCT cana-5709 129 1 𝛼 𝛼 X cana-5709 129 2 βˆ’ βˆ’ PROPN cana-5709 130 1 [ [ X cana-5709 130 2 𝐹 𝐹 PROPN cana-5709 130 3 οΏ½ οΏ½ PROPN cana-5709 130 4 Μ… Μ… NOUN cana-5709 130 5 οΏ½ οΏ½ NOUN cana-5709 130 6 (𝑑 (𝑑 NOUN cana-5709 130 7 ) ) PUNCT cana-5709 130 8 ] ] PUNCT cana-5709 130 9 𝛼 𝛼 X cana-5709 130 10 ) ) PUNCT cana-5709 130 11 , , PUNCT cana-5709 130 12 𝑑 𝑑 NOUN cana-5709 130 13 𝑑𝑑 𝑑𝑑 ADP cana-5709 130 14 ( ( PUNCT cana-5709 130 15 [ [ X cana-5709 130 16 𝐹𝑣(𝑑 𝐹𝑣(𝑑 NOUN cana-5709 130 17 ) ) PUNCT cana-5709 130 18 ] ] PUNCT cana-5709 131 1 𝛼 𝛼 X cana-5709 131 2 βˆ’ βˆ’ PROPN cana-5709 132 1 [ [ X cana-5709 132 2 𝐹 𝐹 PROPN cana-5709 132 3 οΏ½ οΏ½ PROPN cana-5709 132 4 Μ… Μ… NOUN cana-5709 132 5 οΏ½ οΏ½ NOUN cana-5709 132 6 (𝑑 (𝑑 NOUN cana-5709 132 7 ) ) PUNCT cana-5709 132 8 ] ] PUNCT cana-5709 132 9 𝛼 𝛼 X cana-5709 132 10 ) ) PUNCT cana-5709 132 11 = = SYM cana-5709 132 12 βˆ’π‘˜1[𝐹 βˆ’π‘˜1[𝐹 PROPN cana-5709 132 13 οΏ½ οΏ½ PROPN cana-5709 132 14 Μ… Μ… NOUN cana-5709 132 15 οΏ½ οΏ½ NOUN cana-5709 132 16 (𝑑 (𝑑 NOUN cana-5709 132 17 ) ) PUNCT cana-5709 132 18 ] ] PUNCT cana-5709 132 19 𝛼([π‘ˆπ‘(𝑑 𝛼([π‘ˆπ‘(𝑑 NOUN cana-5709 132 20 ) ) PUNCT cana-5709 132 21 ] ] PUNCT cana-5709 133 1 𝛼 𝛼 X cana-5709 133 2 βˆ’ βˆ’ NOUN cana-5709 134 1 [ [ X cana-5709 134 2 π‘ˆπ‘Μ…Μ… π‘ˆπ‘Μ…Μ… NUM cana-5709 134 3 Μ…(𝑑 Μ…(𝑑 NOUN cana-5709 134 4 ) ) PUNCT cana-5709 134 5 ] ] PUNCT cana-5709 135 1 𝛼 𝛼 X cana-5709 135 2 ) ) PUNCT cana-5709 135 3 + + NUM cana-5709 135 4 π‘πœ‡π‘([𝐼𝑐(𝑑 π‘πœ‡π‘([𝐼𝑐(𝑑 NOUN cana-5709 135 5 ) ) PUNCT cana-5709 135 6 ] ] PUNCT cana-5709 136 1 𝛼 𝛼 X cana-5709 136 2 βˆ’ βˆ’ PROPN cana-5709 136 3 [ [ X cana-5709 136 4 𝐼 𝐼 PROPN cana-5709 136 5 οΏ½ οΏ½ PROPN cana-5709 136 6 Μ… Μ… NOUN cana-5709 136 7 οΏ½ οΏ½ NOUN cana-5709 136 8 (𝑑 (𝑑 NOUN cana-5709 136 9 ) ) PUNCT cana-5709 136 10 ] ] PUNCT cana-5709 136 11 𝛼 𝛼 X cana-5709 136 12 ) ) PUNCT cana-5709 136 13 βˆ’(π‘˜1[π‘ˆπ‘Μ…Μ… βˆ’(π‘˜1[π‘ˆπ‘Μ…Μ… PROPN cana-5709 136 14 Μ…(𝑑 Μ…(𝑑 PROPN cana-5709 136 15 ) ) PUNCT cana-5709 136 16 ] ] PUNCT cana-5709 137 1 𝛼 𝛼 X cana-5709 137 2 + + X cana-5709 137 3 πœ‡πΉπ‘£)([𝐹𝑣(𝑑 πœ‡πΉπ‘£)([𝐹𝑣(𝑑 NUM cana-5709 137 4 ) ) PUNCT cana-5709 137 5 ] ] PUNCT cana-5709 138 1 𝛼 𝛼 X cana-5709 138 2 βˆ’ βˆ’ PROPN cana-5709 139 1 [ [ X cana-5709 139 2 𝐹 𝐹 PROPN cana-5709 139 3 οΏ½ οΏ½ PROPN cana-5709 139 4 Μ… Μ… NOUN cana-5709 139 5 οΏ½ οΏ½ NOUN cana-5709 139 6 (𝑑 (𝑑 NOUN cana-5709 139 7 ) ) PUNCT cana-5709 139 8 ] ] PUNCT cana-5709 139 9 𝛼 𝛼 X cana-5709 139 10 ) ) PUNCT cana-5709 139 11 . . PUNCT cana-5709 140 1 ( ( PUNCT cana-5709 140 2 3.1 3.1 NUM cana-5709 140 3 ) ) PUNCT cana-5709 140 4 where where SCONJ cana-5709 140 5 𝑀 𝑀 PROPN cana-5709 140 6 = = PUNCT cana-5709 140 7 ¡𝑇 ¡𝑇 VERB cana-5709 140 8 𝛼 𝛼 PRON cana-5709 140 9 + + NOUN cana-5709 140 10 ( ( PUNCT cana-5709 140 11 π‘Ÿ(2π‘ˆπ‘Μ…Μ… π‘Ÿ(2π‘ˆπ‘Μ…Μ… PROPN cana-5709 140 12 Μ…(𝑑 Μ…(𝑑 PROPN cana-5709 140 13 ) ) PUNCT cana-5709 141 1 + + CCONJ cana-5709 141 2 𝐼 𝐼 PROPN cana-5709 141 3 οΏ½ οΏ½ PROPN cana-5709 141 4 Μ… Μ… NOUN cana-5709 141 5 οΏ½ οΏ½ NOUN cana-5709 141 6 (𝑑 (𝑑 NOUN cana-5709 141 7 ) ) PUNCT cana-5709 141 8 ) ) PUNCT cana-5709 142 1 π‘ˆπ‘π‘šπ‘Žπ‘₯ π‘ˆπ‘π‘šπ‘Žπ‘₯ PROPN cana-5709 142 2 ) ) PUNCT cana-5709 142 3 𝛼 𝛼 PROPN cana-5709 142 4 + + CCONJ cana-5709 142 5 ( ( PUNCT cana-5709 142 6 π‘˜1𝐹𝑣(𝑑 π‘˜1𝐹𝑣(𝑑 ADJ cana-5709 142 7 ) ) PUNCT cana-5709 142 8 βˆ’ βˆ’ PROPN cana-5709 143 1 π‘Ÿ π‘Ÿ NOUN cana-5709 143 2 ) ) PUNCT cana-5709 143 3 𝛼 𝛼 SYM cana-5709 143 4 system(3.1)is system(3.1)is ADJ cana-5709 143 5 a a DET cana-5709 143 6 linearized linearize VERB cana-5709 143 7 fuzzy fuzzy ADJ cana-5709 143 8 system system NOUN cana-5709 143 9 . . PUNCT cana-5709 144 1 then then ADV cana-5709 144 2 , , PUNCT cana-5709 144 3 using use VERB cana-5709 144 4 a a DET cana-5709 144 5 fuzzy fuzzy ADJ cana-5709 144 6 matrix matrix NOUN cana-5709 144 7 , , PUNCT cana-5709 144 8 we we PRON cana-5709 144 9 express express VERB cana-5709 144 10 the the DET cana-5709 144 11 system system NOUN cana-5709 144 12 ( ( PUNCT cana-5709 144 13 3.1 3.1 NUM cana-5709 144 14 ) ) PUNCT cana-5709 144 15 as as SCONJ cana-5709 144 16 follows follow VERB cana-5709 144 17 . . PUNCT cana-5709 145 1 : : PUNCT cana-5709 145 2 [ [ PUNCT cana-5709 145 3 𝑋′(𝑑)]𝛼 𝑋′(𝑑)]𝛼 NUM cana-5709 145 4 = = SYM cana-5709 145 5 𝐴1[𝑋(𝑑 𝐴1[𝑋(𝑑 NOUN cana-5709 145 6 ) ) PUNCT cana-5709 145 7 ] ] PUNCT cana-5709 146 1 𝛼 𝛼 X cana-5709 146 2 + + NOUN cana-5709 146 3 𝐴2[𝑋(𝑑 𝐴2[𝑋(𝑑 NOUN cana-5709 146 4 βˆ’ βˆ’ PROPN cana-5709 146 5 𝜏 𝜏 NOUN cana-5709 146 6 ) ) PUNCT cana-5709 146 7 ] ] X cana-5709 147 1 𝛼 𝛼 X cana-5709 147 2 ( ( PUNCT cana-5709 147 3 3.2 3.2 NUM cana-5709 147 4 ) ) PUNCT cana-5709 148 1 where where SCONJ cana-5709 148 2 [ [ X cana-5709 148 3 𝑋(𝑑)]𝛼 𝑋(𝑑)]𝛼 X cana-5709 148 4 = = PUNCT cana-5709 148 5 [ [ PUNCT cana-5709 148 6 [ [ X cana-5709 148 7 𝑀1(𝑑 𝑀1(𝑑 X cana-5709 148 8 ) ) PUNCT cana-5709 148 9 ] ] PUNCT cana-5709 148 10 𝛼 𝛼 X cana-5709 149 1 [ [ X cana-5709 149 2 𝑀2(𝑑 𝑀2(𝑑 PROPN cana-5709 149 3 ) ) PUNCT cana-5709 149 4 ] ] PUNCT cana-5709 150 1 𝛼 𝛼 X cana-5709 151 1 [ [ X cana-5709 151 2 𝑀2(𝑑 𝑀2(𝑑 PROPN cana-5709 151 3 ) ) PUNCT cana-5709 151 4 ] ] PUNCT cana-5709 152 1 𝛼 𝛼 X cana-5709 152 2 ] ] PUNCT cana-5709 152 3 and and CCONJ cana-5709 152 4 𝐴1 𝐴1 PROPN cana-5709 152 5 , , PUNCT cana-5709 152 6 𝐴2 𝐴2 PROPN cana-5709 152 7 are be AUX cana-5709 152 8 3x3fuzzy 3x3fuzzy NUM cana-5709 152 9 matrices matrix NOUN cana-5709 152 10 are be AUX cana-5709 152 11 given give VERB cana-5709 152 12 by by ADP cana-5709 152 13 , , PUNCT cana-5709 152 14 𝐴1 𝐴1 PROPN cana-5709 153 1 = = PUNCT cana-5709 154 1 [ [ PUNCT cana-5709 154 2 βˆ’π‘€ βˆ’π‘€ X cana-5709 154 3 βˆ’π‘Ÿπ‘ˆπ‘Μ…Μ…Μ…Μ… βˆ’π‘Ÿπ‘ˆπ‘Μ…Μ…Μ…Μ… PROPN cana-5709 154 4 π‘ˆπ‘π‘šπ‘Žπ‘₯ π‘ˆπ‘π‘šπ‘Žπ‘₯ PROPN cana-5709 154 5 βˆ’π‘˜1π‘ˆπ‘Μ…Μ… βˆ’π‘˜1π‘ˆπ‘Μ…Μ… PROPN cana-5709 154 6 Μ… Μ… NOUN cana-5709 154 7 0 0 NUM cana-5709 155 1 βˆ’πœ‡1 βˆ’πœ‡1 NOUN cana-5709 155 2 0 0 NUM cana-5709 155 3 βˆ’π‘˜1𝐹 βˆ’π‘˜1𝐹 NOUN cana-5709 155 4 οΏ½ οΏ½ NOUN cana-5709 155 5 Μ… Μ… NOUN cana-5709 155 6 οΏ½ οΏ½ NOUN cana-5709 155 7 π‘πœ‡π‘ π‘πœ‡π‘ PROPN cana-5709 155 8 βˆ’(π‘˜1π‘ˆπ‘ βˆ’(π‘˜1π‘ˆπ‘ PROPN cana-5709 155 9 + + CCONJ cana-5709 155 10 πœ‡πΉπ‘£Μ…Μ… πœ‡πΉπ‘£Μ…Μ… PROPN cana-5709 155 11 Μ…Μ… Μ…Μ… PROPN cana-5709 155 12 Μ…Μ… Μ…Μ… PROPN cana-5709 155 13 Μ…Μ… Μ…Μ… PROPN cana-5709 155 14 Μ…Μ… Μ…Μ… PROPN cana-5709 155 15 Μ… Μ… PROPN cana-5709 155 16 ) ) PUNCT cana-5709 155 17 ] ] PUNCT cana-5709 156 1 [ [ PUNCT cana-5709 156 2 𝐹1(𝛼 𝐹1(𝛼 NOUN cana-5709 156 3 ) ) PUNCT cana-5709 156 4 𝐹2(𝛼 𝐹2(𝛼 NUM cana-5709 156 5 ) ) PUNCT cana-5709 156 6 𝐹3(𝛼 𝐹3(𝛼 NUM cana-5709 156 7 ) ) PUNCT cana-5709 156 8 ] ] PUNCT cana-5709 156 9 and and CCONJ cana-5709 156 10 𝐴2 𝐴2 PROPN cana-5709 156 11 = = PUNCT cana-5709 156 12 [ [ PUNCT cana-5709 156 13 0 0 NUM cana-5709 156 14 0 0 NUM cana-5709 156 15 0 0 NUM cana-5709 156 16 π‘˜1𝐹 π‘˜1𝐹 NUM cana-5709 156 17 οΏ½ οΏ½ NOUN cana-5709 156 18 Μ… Μ… NOUN cana-5709 156 19 οΏ½ οΏ½ PROPN cana-5709 156 20 0 0 NUM cana-5709 156 21 π‘˜1β€²π‘ˆπ‘Μ…Μ… π‘˜1β€²π‘ˆπ‘Μ…Μ… PROPN cana-5709 156 22 Μ… Μ… PROPN cana-5709 156 23 0 0 NUM cana-5709 156 24 0 0 NUM cana-5709 156 25 0 0 NUM cana-5709 156 26 ] ] PUNCT cana-5709 156 27 [ [ PUNCT cana-5709 156 28 𝐹1(𝛼 𝐹1(𝛼 NOUN cana-5709 156 29 ) ) PUNCT cana-5709 156 30 𝐹2(𝛼 𝐹2(𝛼 NUM cana-5709 156 31 ) ) PUNCT cana-5709 156 32 𝐹3(𝛼 𝐹3(𝛼 NUM cana-5709 156 33 ) ) PUNCT cana-5709 156 34 ] ] PUNCT cana-5709 156 35 ( ( PUNCT cana-5709 156 36 3.3 3.3 NUM cana-5709 156 37 ) ) PUNCT cana-5709 156 38 using use VERB cana-5709 156 39 the the DET cana-5709 156 40 parameter parameter NOUN cana-5709 156 41 values value NOUN cana-5709 156 42 from from ADP cana-5709 156 43 the the DET cana-5709 156 44 table table NOUN cana-5709 156 45 and and CCONJ cana-5709 156 46 the the DET cana-5709 156 47 equilibrium equilibrium NOUN cana-5709 156 48 point point NOUN cana-5709 156 49 for for ADP cana-5709 156 50 n=500 n=500 NUM cana-5709 156 51 , , PUNCT cana-5709 156 52 communications communication NOUN cana-5709 156 53 on on ADP cana-5709 156 54 applied apply VERB cana-5709 156 55 nonlinear nonlinear ADJ cana-5709 156 56 analysis analysis NOUN cana-5709 156 57 issn issn NOUN cana-5709 156 58 : : PUNCT cana-5709 156 59 1074 1074 NUM cana-5709 156 60 - - PUNCT cana-5709 156 61 133x 133x NUM cana-5709 156 62 vol vol VERB cana-5709 156 63 32 32 NUM cana-5709 156 64 no no NOUN cana-5709 156 65 . . PUNCT cana-5709 157 1 10s 10 NOUN cana-5709 157 2 ( ( PUNCT cana-5709 157 3 2025 2025 NUM cana-5709 157 4 ) ) PUNCT cana-5709 157 5 2688 2688 NUM cana-5709 157 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 158 1 [ [ X cana-5709 158 2 οΏ½ οΏ½ NOUN cana-5709 158 3 Μ… Μ… NOUN cana-5709 158 4 οΏ½ οΏ½ NOUN cana-5709 158 5 ]𝛼 ]𝛼 SYM cana-5709 158 6 = = SYM cana-5709 158 7 ( ( PUNCT cana-5709 158 8 260.7[𝐹1(𝛼 260.7[𝐹1(𝛼 NUM cana-5709 158 9 ) ) PUNCT cana-5709 158 10 ] ] PUNCT cana-5709 158 11 , , PUNCT cana-5709 158 12 35.5[𝐹2(𝛼 35.5[𝐹2(𝛼 NUM cana-5709 158 13 ) ) PUNCT cana-5709 158 14 ] ] PUNCT cana-5709 158 15 , , PUNCT cana-5709 158 16 1768.2[𝐹3(𝛼 1768.2[𝐹3(𝛼 NUM cana-5709 158 17 ) ) PUNCT cana-5709 158 18 ] ] PUNCT cana-5709 158 19 ) ) PUNCT cana-5709 158 20 and and CCONJ cana-5709 158 21 𝜏 𝜏 X cana-5709 158 22 = = SYM cana-5709 158 23 1 1 NUM cana-5709 158 24 , , PUNCT cana-5709 158 25 ( ( PUNCT cana-5709 158 26 3.1 3.1 NUM cana-5709 158 27 ) ) PUNCT cana-5709 158 28 can can AUX cana-5709 158 29 be be AUX cana-5709 158 30 written write VERB cana-5709 158 31 as as ADP cana-5709 158 32 , , PUNCT cana-5709 158 33 { { PUNCT cana-5709 158 34 [ [ X cana-5709 158 35 𝑀′1(𝑑 𝑀′1(𝑑 NOUN cana-5709 158 36 ) ) PUNCT cana-5709 158 37 ] ] PUNCT cana-5709 159 1 𝛼 𝛼 X cana-5709 159 2 = = NOUN cana-5709 159 3 βˆ’0.0436[𝑀1(𝑑 βˆ’0.0436[𝑀1(𝑑 NOUN cana-5709 159 4 ) ) PUNCT cana-5709 159 5 ] ] PUNCT cana-5709 160 1 𝛼 𝛼 PRON cana-5709 160 2 βˆ’ βˆ’ PROPN cana-5709 160 3 0.0052[𝑀2(𝑑 0.0052[𝑀2(𝑑 NOUN cana-5709 160 4 ) ) PUNCT cana-5709 160 5 ] ] PUNCT cana-5709 161 1 𝛼 𝛼 X cana-5709 161 2 βˆ’ βˆ’ NOUN cana-5709 161 3 0.00626[𝑀3(𝑑 0.00626[𝑀3(𝑑 NOUN cana-5709 161 4 ) ) PUNCT cana-5709 161 5 ] ] PUNCT cana-5709 162 1 𝛼 𝛼 X cana-5709 162 2 , , PUNCT cana-5709 162 3 [ [ X cana-5709 162 4 𝑀′2(𝑑 𝑀′2(𝑑 NOUN cana-5709 162 5 ) ) PUNCT cana-5709 162 6 ] ] PUNCT cana-5709 162 7 𝛼 𝛼 X cana-5709 162 8 = = PUNCT cana-5709 162 9 0.0354[𝑀1(𝑑 0.0354[𝑀1(𝑑 ADP cana-5709 162 10 βˆ’ βˆ’ PROPN cana-5709 162 11 1 1 NUM cana-5709 162 12 ) ) PUNCT cana-5709 162 13 ] ] PUNCT cana-5709 163 1 𝛼 𝛼 X cana-5709 163 2 βˆ’ βˆ’ PROPN cana-5709 163 3 0.26[𝑀2(𝑑 0.26[𝑀2(𝑑 NOUN cana-5709 163 4 ) ) PUNCT cana-5709 163 5 ] ] PUNCT cana-5709 164 1 𝛼 𝛼 X cana-5709 164 2 + + NUM cana-5709 164 3 0.0052[𝑀3(𝑑 0.0052[𝑀3(𝑑 ADJ cana-5709 164 4 βˆ’ βˆ’ NOUN cana-5709 164 5 1 1 NUM cana-5709 164 6 ) ) PUNCT cana-5709 164 7 ] ] PUNCT cana-5709 165 1 𝛼 𝛼 X cana-5709 165 2 , , PUNCT cana-5709 165 3 [ [ X cana-5709 165 4 𝑀′3(𝑑 𝑀′3(𝑑 PROPN cana-5709 165 5 ) ) PUNCT cana-5709 165 6 ] ] PUNCT cana-5709 166 1 𝛼 𝛼 X cana-5709 166 2 = = SYM cana-5709 166 3 βˆ’0.0424[𝑀1(𝑑 βˆ’0.0424[𝑀1(𝑑 NOUN cana-5709 166 4 ) ) PUNCT cana-5709 166 5 ] ] PUNCT cana-5709 167 1 𝛼 𝛼 X cana-5709 167 2 + + NOUN cana-5709 167 3 120[𝑀2(𝑑 120[𝑀2(𝑑 NUM cana-5709 167 4 ) ) PUNCT cana-5709 167 5 ] ] PUNCT cana-5709 168 1 𝛼 𝛼 X cana-5709 168 2 βˆ’ βˆ’ PROPN cana-5709 168 3 2.24063[𝑀3(𝑑 2.24063[𝑀3(𝑑 NOUN cana-5709 168 4 ) ) PUNCT cana-5709 168 5 ] ] PUNCT cana-5709 169 1 𝛼. 𝛼. NOUN cana-5709 169 2 ( ( PUNCT cana-5709 169 3 3.4 3.4 NUM cana-5709 169 4 ) ) PUNCT cana-5709 169 5 at at ADP cana-5709 169 6 the the DET cana-5709 169 7 equilibrium equilibrium NOUN cana-5709 169 8 point point NOUN cana-5709 169 9 for for ADP cana-5709 169 10 n=1000 n=1000 PROPN cana-5709 169 11 , , PUNCT cana-5709 169 12 [ [ X cana-5709 169 13 οΏ½ οΏ½ NOUN cana-5709 169 14 Μ… Μ… NOUN cana-5709 169 15 οΏ½ οΏ½ NOUN cana-5709 169 16 ]𝛼 ]𝛼 SYM cana-5709 169 17 = = SYM cana-5709 169 18 ( ( PUNCT cana-5709 169 19 130.2[𝐹1(𝛼 130.2[𝐹1(𝛼 NUM cana-5709 169 20 ) ) PUNCT cana-5709 169 21 ] ] PUNCT cana-5709 169 22 , , PUNCT cana-5709 169 23 34.9[𝐹2(𝛼 34.9[𝐹2(𝛼 NUM cana-5709 169 24 ) ) PUNCT cana-5709 169 25 ] ] PUNCT cana-5709 169 26 , , PUNCT cana-5709 169 27 3480.1[𝐹3(𝛼 3480.1[𝐹3(𝛼 NUM cana-5709 169 28 ) ) PUNCT cana-5709 169 29 ] ] PUNCT cana-5709 169 30 ) ) PUNCT cana-5709 169 31 . . PUNCT cana-5709 170 1 and and CCONJ cana-5709 170 2 𝜏 𝜏 X cana-5709 170 3 = = SYM cana-5709 170 4 1 1 NUM cana-5709 170 5 , , PUNCT cana-5709 170 6 ( ( PUNCT cana-5709 170 7 3.1 3.1 NUM cana-5709 170 8 ) ) PUNCT cana-5709 170 9 can can AUX cana-5709 170 10 be be AUX cana-5709 170 11 written write VERB cana-5709 170 12 as as ADP cana-5709 170 13 , , PUNCT cana-5709 170 14 { { PUNCT cana-5709 170 15 [ [ X cana-5709 170 16 𝑀′1(𝑑 𝑀′1(𝑑 NOUN cana-5709 170 17 ) ) PUNCT cana-5709 170 18 ] ] PUNCT cana-5709 171 1 𝛼 𝛼 X cana-5709 171 2 = = NOUN cana-5709 171 3 βˆ’0.07942[𝑀1(𝑑 βˆ’0.07942[𝑀1(𝑑 NOUN cana-5709 171 4 ) ) PUNCT cana-5709 171 5 ] ] PUNCT cana-5709 172 1 𝛼 𝛼 X cana-5709 172 2 βˆ’ βˆ’ PROPN cana-5709 172 3 0.0026[𝑀2(𝑑 0.0026[𝑀2(𝑑 NOUN cana-5709 172 4 ) ) PUNCT cana-5709 172 5 ] ] PUNCT cana-5709 173 1 𝛼 𝛼 PRON cana-5709 173 2 βˆ’ βˆ’ PROPN cana-5709 173 3 0.003124[𝑀3(𝑑 0.003124[𝑀3(𝑑 NUM cana-5709 173 4 ) ) PUNCT cana-5709 173 5 ] ] PUNCT cana-5709 174 1 𝛼 𝛼 X cana-5709 174 2 , , PUNCT cana-5709 174 3 [ [ X cana-5709 174 4 𝑀′2(𝑑 𝑀′2(𝑑 NOUN cana-5709 174 5 ) ) PUNCT cana-5709 174 6 ] ] PUNCT cana-5709 174 7 𝛼 𝛼 X cana-5709 174 8 = = SYM cana-5709 174 9 0.0696[𝑀1(𝑑 0.0696[𝑀1(𝑑 NUM cana-5709 174 10 βˆ’ βˆ’ NOUN cana-5709 174 11 1 1 NUM cana-5709 174 12 ) ) PUNCT cana-5709 174 13 ] ] PUNCT cana-5709 174 14 𝛼 𝛼 X cana-5709 174 15 βˆ’ βˆ’ PROPN cana-5709 174 16 0.26[𝑀2(𝑑 0.26[𝑀2(𝑑 NOUN cana-5709 174 17 ) ) PUNCT cana-5709 174 18 ] ] PUNCT cana-5709 175 1 𝛼 𝛼 X cana-5709 176 1 + + NUM cana-5709 176 2 0.0026[𝑀3(𝑑 0.0026[𝑀3(𝑑 NOUN cana-5709 176 3 βˆ’ βˆ’ NOUN cana-5709 176 4 1 1 NUM cana-5709 176 5 ) ) PUNCT cana-5709 176 6 ] ] PUNCT cana-5709 177 1 𝛼 𝛼 X cana-5709 177 2 , , PUNCT cana-5709 177 3 [ [ X cana-5709 177 4 𝑀′3(𝑑 𝑀′3(𝑑 PROPN cana-5709 177 5 ) ) PUNCT cana-5709 177 6 ] ] PUNCT cana-5709 177 7 𝛼 𝛼 X cana-5709 177 8 = = PUNCT cana-5709 177 9 βˆ’0.0835[𝑀1(𝑑 βˆ’0.0835[𝑀1(𝑑 X cana-5709 177 10 ) ) PUNCT cana-5709 177 11 ] ] PUNCT cana-5709 177 12 𝛼 𝛼 X cana-5709 177 13 + + NOUN cana-5709 177 14 240[𝑀2(𝑑 240[𝑀2(𝑑 NUM cana-5709 177 15 ) ) PUNCT cana-5709 177 16 ] ] PUNCT cana-5709 178 1 𝛼 𝛼 X cana-5709 178 2 βˆ’ βˆ’ PROPN cana-5709 178 3 2.20312[𝑀3(𝑑 2.20312[𝑀3(𝑑 NUM cana-5709 178 4 ) ) PUNCT cana-5709 178 5 ] ] PUNCT cana-5709 179 1 𝛼. 𝛼. NOUN cana-5709 179 2 ( ( PUNCT cana-5709 179 3 3.5 3.5 NUM cana-5709 179 4 ) ) PUNCT cana-5709 180 1 [ [ X cana-5709 180 2 𝑀1(𝑑 𝑀1(𝑑 X cana-5709 180 3 ) ) PUNCT cana-5709 180 4 ] ] PUNCT cana-5709 180 5 𝛼 𝛼 X cana-5709 180 6 = = SYM cana-5709 181 1 [ [ X cana-5709 181 2 1001 1001 NUM cana-5709 181 3 βˆ’ βˆ’ PROPN cana-5709 181 4 𝑒𝑑][𝐹1(𝛼 𝑒𝑑][𝐹1(𝛼 NOUN cana-5709 181 5 ) ) PUNCT cana-5709 181 6 ] ] PUNCT cana-5709 181 7 , , PUNCT cana-5709 182 1 [ [ X cana-5709 182 2 𝑀2(𝑑 𝑀2(𝑑 NUM cana-5709 182 3 ) ) PUNCT cana-5709 182 4 ] ] PUNCT cana-5709 183 1 𝛼 𝛼 X cana-5709 183 2 = = X cana-5709 184 1 [ [ X cana-5709 184 2 0][𝐹2(𝛼 0][𝐹2(𝛼 NUM cana-5709 184 3 ) ) PUNCT cana-5709 184 4 ] ] PUNCT cana-5709 184 5 , , PUNCT cana-5709 185 1 [ [ X cana-5709 185 2 𝑀3(𝑑 𝑀3(𝑑 PROPN cana-5709 185 3 ) ) PUNCT cana-5709 185 4 ] ] PUNCT cana-5709 186 1 𝛼 𝛼 X cana-5709 186 2 = = PUNCT cana-5709 187 1 [ [ X cana-5709 187 2 1.001 1.001 NUM cana-5709 187 3 βˆ’ βˆ’ PROPN cana-5709 187 4 𝑒𝑑][𝐹3(𝛼 𝑒𝑑][𝐹3(𝛼 PROPN cana-5709 187 5 ) ) PUNCT cana-5709 187 6 ] ] PUNCT cana-5709 187 7 , , PUNCT cana-5709 187 8 π‘“π‘œπ‘Ÿ π‘“π‘œπ‘Ÿ ADV cana-5709 187 9 𝑑 𝑑 PROPN cana-5709 187 10 ∈ ∈ PROPN cana-5709 188 1 [ [ X cana-5709 188 2 βˆ’1,0 βˆ’1,0 X cana-5709 188 3 ] ] PUNCT cana-5709 188 4 . . PUNCT cana-5709 189 1 with with ADP cana-5709 189 2 initial initial ADJ cana-5709 189 3 functions function NOUN cana-5709 189 4 . . PUNCT cana-5709 190 1 the the DET cana-5709 190 2 analytical analytical ADJ cana-5709 190 3 solution solution NOUN cana-5709 190 4 is be AUX cana-5709 190 5 [ [ X cana-5709 190 6 𝑋(𝑑)]𝛼 𝑋(𝑑)]𝛼 X cana-5709 190 7 = = PUNCT cana-5709 191 1 [ [ X cana-5709 191 2 𝛷(𝑑)]𝛼𝐢 𝛷(𝑑)]𝛼𝐢 NOUN cana-5709 191 3 + + X cana-5709 192 1 [ [ X cana-5709 192 2 𝛷(𝑑)]π›Όβˆ« 𝛷(𝑑)]π›Όβˆ« X cana-5709 192 3 [ [ X cana-5709 192 4 π›·βˆ’1(𝑠)]𝛼𝐡(𝑠 π›·βˆ’1(𝑠)]𝛼𝐡(𝑠 X cana-5709 192 5 , , PUNCT cana-5709 192 6 𝛼)𝑑𝑠 𝛼)𝑑𝑠 PROPN cana-5709 192 7 , , PUNCT cana-5709 192 8 𝑑 𝑑 PROPN cana-5709 192 9 ∈ ∈ PROPN cana-5709 192 10 𝐼. 𝐼. PROPN cana-5709 192 11 ( ( PUNCT cana-5709 192 12 3.6 3.6 NUM cana-5709 192 13 ) ) PUNCT cana-5709 192 14 𝑑 𝑑 PROPN cana-5709 192 15 𝑑0 𝑑0 NOUN cana-5709 192 16 the the DET cana-5709 192 17 fundamental fundamental ADJ cana-5709 192 18 matrix matrix NOUN cana-5709 192 19 of of ADP cana-5709 192 20 the the DET cana-5709 192 21 system(3.5 system(3.5 NOUN cana-5709 192 22 ) ) PUNCT cana-5709 192 23 is be AUX cana-5709 192 24 given give VERB cana-5709 192 25 by by ADP cana-5709 192 26 , , PUNCT cana-5709 192 27 [ [ X cana-5709 192 28 𝛷(𝑑)]𝛼 𝛷(𝑑)]𝛼 X cana-5709 192 29 = = SYM cana-5709 192 30 [ [ PUNCT cana-5709 192 31 π‘Ž1𝑒 π‘Ž1𝑒 NOUN cana-5709 192 32 βˆπ‘‘ βˆπ‘‘ PROPN cana-5709 192 33 𝑏1𝑒 𝑏1𝑒 PROPN cana-5709 192 34 βˆπ‘‘ βˆπ‘‘ PROPN cana-5709 192 35 𝑐1𝑒 𝑐1𝑒 NOUN cana-5709 192 36 βˆπ‘‘ βˆπ‘‘ NUM cana-5709 192 37 π‘Ž2𝑒 π‘Ž2𝑒 NOUN cana-5709 192 38 βˆπ‘‘ βˆπ‘‘ PROPN cana-5709 192 39 𝑏2𝑒 𝑏2𝑒 PROPN cana-5709 193 1 βˆπ‘‘ βˆπ‘‘ NUM cana-5709 193 2 𝑐2𝑒 𝑐2𝑒 PUNCT cana-5709 193 3 βˆπ‘‘ βˆπ‘‘ PROPN cana-5709 193 4 π‘Ž3𝑒 π‘Ž3𝑒 NOUN cana-5709 193 5 βˆπ‘‘ βˆπ‘‘ PROPN cana-5709 193 6 𝑏3𝑒 𝑏3𝑒 ADJ cana-5709 193 7 βˆπ‘‘ βˆπ‘‘ PROPN cana-5709 193 8 𝑐3𝑒 𝑐3𝑒 NOUN cana-5709 193 9 βˆπ‘‘ βˆπ‘‘ PROPN cana-5709 193 10 ] ] PUNCT cana-5709 193 11 [ [ PUNCT cana-5709 193 12 𝐹1(𝛼 𝐹1(𝛼 NOUN cana-5709 193 13 ) ) PUNCT cana-5709 193 14 𝐹2(𝛼 𝐹2(𝛼 NUM cana-5709 193 15 ) ) PUNCT cana-5709 193 16 𝐹3(𝛼 𝐹3(𝛼 NUM cana-5709 193 17 ) ) PUNCT cana-5709 193 18 ] ] PUNCT cana-5709 194 1 ( ( PUNCT cana-5709 194 2 3.7 3.7 NUM cana-5709 194 3 ) ) PUNCT cana-5709 194 4 where where SCONJ cana-5709 194 5 𝛼 𝛼 X cana-5709 194 6 = = SYM cana-5709 194 7 βˆ’0.0434876 βˆ’0.0434876 NOUN cana-5709 194 8 , , PUNCT cana-5709 194 9 𝛽 𝛽 PROPN cana-5709 194 10 = = SYM cana-5709 194 11 βˆ’0.25 βˆ’0.25 PROPN cana-5709 194 12 , , PUNCT cana-5709 194 13 𝛾 𝛾 NOUN cana-5709 194 14 = = SYM cana-5709 194 15 βˆ’2.40641 βˆ’2.40641 PROPN cana-5709 194 16 , , PUNCT cana-5709 194 17 and and CCONJ cana-5709 194 18 { { PUNCT cana-5709 194 19 a1 a1 NOUN cana-5709 194 20 = = SYM cana-5709 194 21 0.999839 0.999839 NUM cana-5709 194 22 , , PUNCT cana-5709 194 23 a2 a2 PROPN cana-5709 194 24 = = SYM cana-5709 194 25 0 0 NUM cana-5709 194 26 , , PUNCT cana-5709 194 27 a3 a3 NOUN cana-5709 194 28 = = SYM cana-5709 194 29 βˆ’0.0179587 βˆ’0.0179587 NUM cana-5709 194 30 , , PUNCT cana-5709 194 31 b1 b1 NOUN cana-5709 194 32 = = SYM cana-5709 194 33 0.0293406 0.0293406 NUM cana-5709 194 34 , , PUNCT cana-5709 194 35 b2 b2 NOUN cana-5709 194 36 = = SYM cana-5709 194 37 0.0178856 0.0178856 NUM cana-5709 194 38 , , PUNCT cana-5709 194 39 b3 b3 PROPN cana-5709 194 40 = = SYM cana-5709 194 41 0.9994090 0.9994090 NUM cana-5709 194 42 , , PUNCT cana-5709 194 43 d1 d1 PROPN cana-5709 194 44 = = SYM cana-5709 194 45 0.000264938 0.000264938 NUM cana-5709 194 46 , , PUNCT cana-5709 194 47 d2 d2 PROPN cana-5709 194 48 = = SYM cana-5709 194 49 0 0 NUM cana-5709 194 50 , , PUNCT cana-5709 194 51 d3 d3 PROPN cana-5709 194 52 = = PUNCT cana-5709 194 53 0.9999960 0.9999960 NUM cana-5709 194 54 let let VERB cana-5709 194 55 , , PUNCT cana-5709 194 56 𝑏 𝑏 NOUN cana-5709 194 57 = = PUNCT cana-5709 194 58 [ [ PUNCT cana-5709 194 59 0 0 NUM cana-5709 194 60 35.4406 35.4406 NUM cana-5709 194 61 βˆ’ βˆ’ PROPN cana-5709 194 62 ( ( PUNCT cana-5709 194 63 0.0406π‘’π‘‘βˆ’1 0.0406π‘’π‘‘βˆ’1 NUM cana-5709 194 64 ) ) PUNCT cana-5709 194 65 0 0 NUM cana-5709 194 66 ] ] PUNCT cana-5709 194 67 and and CCONJ cana-5709 194 68 Ο†βˆ’1(𝑑)𝐡 Ο†βˆ’1(𝑑)𝐡 ADJ cana-5709 194 69 = = SYM cana-5709 194 70 1 1 NUM cana-5709 194 71 𝑀 𝑀 PROPN cana-5709 194 72 [ [ PUNCT cana-5709 194 73 π‘š1𝑒 π‘š1𝑒 ADP cana-5709 194 74 βˆ’π›Όπ‘‘ βˆ’π›Όπ‘‘ NOUN cana-5709 194 75 π‘š2𝑒 π‘š2𝑒 ADP cana-5709 194 76 βˆ’π›½π‘‘ βˆ’π›½π‘‘ NUM cana-5709 194 77 π‘š3𝑒 π‘š3𝑒 PROPN cana-5709 194 78 βˆ’π›Ύπ‘‘ βˆ’π›Ύπ‘‘ PROPN cana-5709 194 79 ] ] PUNCT cana-5709 194 80 where where SCONJ cana-5709 194 81 , , PUNCT cana-5709 194 82 𝑀 𝑀 PROPN cana-5709 194 83 = = PUNCT cana-5709 195 1 π‘Ž1β„Ž2 π‘Ž1β„Ž2 ADP cana-5709 195 2 βˆ’ βˆ’ PROPN cana-5709 195 3 𝑏1β„Ž1 𝑏1β„Ž1 NOUN cana-5709 195 4 + + PROPN cana-5709 195 5 𝑑1β„Ž3 𝑑1β„Ž3 PROPN cana-5709 195 6 , , PUNCT cana-5709 195 7 π‘š1 π‘š1 NOUN cana-5709 195 8 = = PUNCT cana-5709 195 9 𝑛1β„Ž1 𝑛1β„Ž1 ADP cana-5709 195 10 βˆ’ βˆ’ PROPN cana-5709 195 11 𝑛2β„Ž4 𝑛2β„Ž4 NOUN cana-5709 195 12 + + SYM cana-5709 195 13 𝑛3β„Ž7 𝑛3β„Ž7 PROPN cana-5709 195 14 , , PUNCT cana-5709 195 15 π‘š2 π‘š2 NOUN cana-5709 195 16 = = SYM cana-5709 195 17 βˆ’π‘›1β„Ž2 βˆ’π‘›1β„Ž2 PROPN cana-5709 196 1 + + X cana-5709 196 2 𝑛2β„Ž5 𝑛2β„Ž5 NOUN cana-5709 196 3 βˆ’ βˆ’ NOUN cana-5709 196 4 𝑛3β„Ž8 𝑛3β„Ž8 NOUN cana-5709 196 5 , , PUNCT cana-5709 196 6 π‘š3 π‘š3 NOUN cana-5709 196 7 = = SYM cana-5709 196 8 𝑛1β„Ž3 𝑛1β„Ž3 PROPN cana-5709 196 9 βˆ’ βˆ’ PROPN cana-5709 196 10 𝑛2β„Ž6 𝑛2β„Ž6 NOUN cana-5709 196 11 + + CCONJ cana-5709 196 12 𝑛3β„Ž9 𝑛3β„Ž9 PROPN cana-5709 196 13 , , PUNCT cana-5709 196 14 𝑛1 𝑛1 NOUN cana-5709 196 15 = = SYM cana-5709 196 16 0 0 NUM cana-5709 196 17 , , PUNCT cana-5709 196 18 𝑛2 𝑛2 NOUN cana-5709 196 19 = = PROPN cana-5709 196 20 35.4406 35.4406 NUM cana-5709 196 21 βˆ’ βˆ’ PROPN cana-5709 196 22 ( ( PUNCT cana-5709 196 23 0.0406𝑒 0.0406𝑒 NOUN cana-5709 196 24 π‘‘βˆ’1 π‘‘βˆ’1 PROPN cana-5709 196 25 ) ) PUNCT cana-5709 196 26 ) ) PUNCT cana-5709 196 27 , , PUNCT cana-5709 196 28 𝑛3 𝑛3 NOUN cana-5709 196 29 = = SYM cana-5709 196 30 0 0 NUM cana-5709 196 31 communications communication NOUN cana-5709 196 32 on on ADP cana-5709 196 33 applied apply VERB cana-5709 196 34 nonlinear nonlinear ADJ cana-5709 196 35 analysis analysis NOUN cana-5709 196 36 issn issn NOUN cana-5709 196 37 : : PUNCT cana-5709 196 38 1074 1074 NUM cana-5709 196 39 - - PUNCT cana-5709 196 40 133x 133x NUM cana-5709 196 41 vol vol VERB cana-5709 196 42 32 32 NUM cana-5709 196 43 no no NOUN cana-5709 196 44 . . PUNCT cana-5709 197 1 10s 10 NOUN cana-5709 197 2 ( ( PUNCT cana-5709 197 3 2025 2025 NUM cana-5709 197 4 ) ) PUNCT cana-5709 197 5 2689 2689 NUM cana-5709 197 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 197 7 and and CCONJ cana-5709 197 8 { { PUNCT cana-5709 197 9 h1 h1 PROPN cana-5709 197 10 = = SYM cana-5709 197 11 Ξ³3a2 Ξ³3a2 PROPN cana-5709 197 12 βˆ’ βˆ’ X cana-5709 197 13 Ξ³2a3 Ξ³2a3 NOUN cana-5709 197 14 , , PUNCT cana-5709 197 15 h2 h2 NOUN cana-5709 197 16 = = PUNCT cana-5709 198 1 Ξ³3b2 Ξ³3b2 PROPN cana-5709 198 2 βˆ’ βˆ’ NOUN cana-5709 198 3 Ξ³2b3 Ξ³2b3 NOUN cana-5709 198 4 , , PUNCT cana-5709 198 5 h3 h3 NOUN cana-5709 198 6 = = SYM cana-5709 198 7 a2b3 a2b3 NOUN cana-5709 198 8 βˆ’ βˆ’ X cana-5709 198 9 b2a3 b2a3 PROPN cana-5709 198 10 , , PUNCT cana-5709 198 11 h4 h4 NOUN cana-5709 198 12 = = SYM cana-5709 198 13 Ξ³ Ξ³ PROPN cana-5709 198 14 1 1 NUM cana-5709 198 15 b3 b3 PROPN cana-5709 198 16 βˆ’ βˆ’ PROPN cana-5709 198 17 Ξ³3b1 Ξ³3b1 NOUN cana-5709 198 18 , , PUNCT cana-5709 198 19 h5 h5 PROPN cana-5709 198 20 = = SYM cana-5709 198 21 Ξ³ Ξ³ X cana-5709 198 22 3 3 NUM cana-5709 198 23 a1 a1 NOUN cana-5709 198 24 βˆ’ βˆ’ PROPN cana-5709 198 25 Ξ³1a3 Ξ³1a3 NOUN cana-5709 198 26 , , PUNCT cana-5709 198 27 h6 h6 PROPN cana-5709 198 28 = = PUNCT cana-5709 198 29 a1b3 a1b3 PROPN cana-5709 198 30 βˆ’ βˆ’ NOUN cana-5709 198 31 a3b1 a3b1 ADP cana-5709 198 32 , , PUNCT cana-5709 198 33 h7 h7 X cana-5709 198 34 = = PUNCT cana-5709 198 35 Ξ³1b2 Ξ³1b2 PROPN cana-5709 198 36 βˆ’ βˆ’ NOUN cana-5709 198 37 Ξ³2b1 Ξ³2b1 ADJ cana-5709 198 38 , , PUNCT cana-5709 198 39 h8 h8 PROPN cana-5709 198 40 = = PUNCT cana-5709 198 41 Ξ³2a1 Ξ³2a1 PROPN cana-5709 198 42 βˆ’ βˆ’ NOUN cana-5709 198 43 Ξ³1a2 Ξ³1a2 NOUN cana-5709 198 44 , , PUNCT cana-5709 198 45 h9 h9 NOUN cana-5709 198 46 = = SYM cana-5709 198 47 a1b2 a1b2 PROPN cana-5709 198 48 βˆ’ βˆ’ PROPN cana-5709 198 49 b1a2 b1a2 PROPN cana-5709 198 50 . . PUNCT cana-5709 199 1 the the DET cana-5709 199 2 linear linear ADJ cana-5709 199 3 system system NOUN cana-5709 199 4 ( ( PUNCT cana-5709 199 5 3.5 3.5 NUM cana-5709 199 6 ) ) PUNCT cana-5709 199 7 ’s ’s PART cana-5709 199 8 analytical analytical ADJ cana-5709 199 9 solution solution NOUN cana-5709 199 10 is be AUX cana-5709 199 11 , , PUNCT cana-5709 199 12 π‘₯(𝑑 π‘₯(𝑑 NOUN cana-5709 199 13 ) ) PUNCT cana-5709 199 14 = = SYM cana-5709 200 1 𝐢1π‘Ž1𝑒 𝐢1π‘Ž1𝑒 NOUN cana-5709 200 2 𝛼𝑑 𝛼𝑑 NOUN cana-5709 200 3 + + CCONJ cana-5709 200 4 𝐢2𝑏1𝑒 𝐢2𝑏1𝑒 ADV cana-5709 200 5 𝛽𝑑 𝛽𝑑 ADP cana-5709 200 6 + + NOUN cana-5709 200 7 𝐢3𝑑1𝑒 𝐢3𝑑1𝑒 X cana-5709 200 8 𝛾𝑑 𝛾𝑑 ADP cana-5709 200 9 + + ADJ cana-5709 200 10 1/𝑀 1/𝑀 NUM cana-5709 200 11 [ [ PUNCT cana-5709 200 12 π‘Ž1π‘š1 π‘Ž1π‘š1 X cana-5709 200 13 𝛼 𝛼 X cana-5709 200 14 ( ( PUNCT cana-5709 200 15 𝑒𝛼 𝑒𝛼 PROPN cana-5709 200 16 βˆ’ βˆ’ PROPN cana-5709 200 17 1 1 NUM cana-5709 200 18 ) ) PUNCT cana-5709 201 1 + + CCONJ cana-5709 201 2 𝑏1π‘š1 𝑏1π‘š1 PROPN cana-5709 201 3 𝛽 𝛽 NOUN cana-5709 201 4 ( ( PUNCT cana-5709 201 5 𝑒𝛽 𝑒𝛽 NOUN cana-5709 201 6 βˆ’ βˆ’ NOUN cana-5709 201 7 1 1 NUM cana-5709 201 8 ) ) PUNCT cana-5709 201 9 + + CCONJ cana-5709 201 10 𝑑1π‘š1 𝑑1π‘š1 PROPN cana-5709 201 11 𝛾 𝛾 NOUN cana-5709 201 12 ( ( PUNCT cana-5709 201 13 𝑒𝛾 𝑒𝛾 NOUN cana-5709 201 14 βˆ’ βˆ’ PROPN cana-5709 201 15 1 1 NUM cana-5709 201 16 ) ) PUNCT cana-5709 201 17 ] ] PUNCT cana-5709 201 18 𝑦(𝑑 𝑦(𝑑 NUM cana-5709 201 19 ) ) PUNCT cana-5709 201 20 = = PUNCT cana-5709 202 1 𝐢1π‘Ž2𝑒 𝐢1π‘Ž2𝑒 NOUN cana-5709 202 2 𝛼𝑑 𝛼𝑑 NOUN cana-5709 202 3 + + NUM cana-5709 202 4 𝐢2𝑏2𝑒 𝐢2𝑏2𝑒 NOUN cana-5709 202 5 𝛽𝑑 𝛽𝑑 ADP cana-5709 202 6 + + CCONJ cana-5709 202 7 𝐢3𝑑2𝑒 𝐢3𝑑2𝑒 ADV cana-5709 202 8 𝛾𝑑 𝛾𝑑 ADV cana-5709 202 9 + + ADJ cana-5709 202 10 1/𝑀 1/𝑀 NUM cana-5709 202 11 [ [ PUNCT cana-5709 202 12 π‘Ž2π‘š1 π‘Ž2π‘š1 NOUN cana-5709 202 13 𝛼 𝛼 PROPN cana-5709 202 14 ( ( PUNCT cana-5709 202 15 𝑒𝛼 𝑒𝛼 PROPN cana-5709 202 16 βˆ’ βˆ’ PROPN cana-5709 202 17 1 1 NUM cana-5709 202 18 ) ) PUNCT cana-5709 202 19 + + CCONJ cana-5709 202 20 𝑏2π‘š1 𝑏2π‘š1 ADP cana-5709 202 21 𝛽 𝛽 PROPN cana-5709 202 22 ( ( PUNCT cana-5709 202 23 𝑒𝛽 𝑒𝛽 NOUN cana-5709 202 24 βˆ’ βˆ’ NOUN cana-5709 202 25 1 1 NUM cana-5709 202 26 ) ) PUNCT cana-5709 202 27 + + NUM cana-5709 202 28 𝑑2π‘š1 𝑑2π‘š1 ADP cana-5709 202 29 𝛾 𝛾 PROPN cana-5709 202 30 ( ( PUNCT cana-5709 202 31 𝑒𝛾 𝑒𝛾 NOUN cana-5709 202 32 βˆ’ βˆ’ PROPN cana-5709 202 33 1 1 NUM cana-5709 202 34 ) ) PUNCT cana-5709 202 35 ] ] PUNCT cana-5709 202 36 ’ ' PUNCT cana-5709 202 37 𝑧(𝑑 𝑧(𝑑 NOUN cana-5709 202 38 ) ) PUNCT cana-5709 202 39 = = PUNCT cana-5709 203 1 𝐢1π‘Ž3𝑒 𝐢1π‘Ž3𝑒 PROPN cana-5709 204 1 𝛼𝑑 𝛼𝑑 X cana-5709 204 2 + + NUM cana-5709 204 3 𝐢2𝑏3𝑒 𝐢2𝑏3𝑒 NOUN cana-5709 204 4 𝛽𝑑 𝛽𝑑 ADP cana-5709 204 5 + + CCONJ cana-5709 204 6 𝐢3𝑑3𝑒 𝐢3𝑑3𝑒 VERB cana-5709 204 7 𝛾𝑑 𝛾𝑑 ADV cana-5709 204 8 + + NUM cana-5709 204 9 1/𝑀 1/𝑀 NUM cana-5709 204 10 [ [ PUNCT cana-5709 204 11 π‘Ž3π‘š1 π‘Ž3π‘š1 X cana-5709 204 12 𝛼 𝛼 X cana-5709 204 13 ( ( PUNCT cana-5709 204 14 𝑒𝛼 𝑒𝛼 PROPN cana-5709 204 15 βˆ’ βˆ’ PROPN cana-5709 204 16 1 1 NUM cana-5709 204 17 ) ) PUNCT cana-5709 205 1 + + CCONJ cana-5709 205 2 𝑏3π‘š1 𝑏3π‘š1 PROPN cana-5709 205 3 𝛽 𝛽 PROPN cana-5709 205 4 ( ( PUNCT cana-5709 205 5 𝑒𝛽 𝑒𝛽 NOUN cana-5709 205 6 βˆ’ βˆ’ NOUN cana-5709 205 7 1 1 NUM cana-5709 205 8 ) ) PUNCT cana-5709 205 9 + + NUM cana-5709 205 10 𝑑3π‘š1 𝑑3π‘š1 PROPN cana-5709 205 11 𝛾 𝛾 PROPN cana-5709 205 12 ( ( PUNCT cana-5709 205 13 𝑒𝛾 𝑒𝛾 NOUN cana-5709 205 14 βˆ’ βˆ’ PROPN cana-5709 205 15 1 1 NUM cana-5709 205 16 ) ) PUNCT cana-5709 205 17 ] ] PUNCT cana-5709 205 18 ’ ' PUNCT cana-5709 205 19 where where SCONJ cana-5709 205 20 𝐢1 𝐢1 PROPN cana-5709 205 21 = = SYM cana-5709 205 22 10001.4 10001.4 NUM cana-5709 205 23 , , PUNCT cana-5709 205 24 𝐢2 𝐢2 X cana-5709 205 25 = = SYM cana-5709 205 26 0 0 PROPN cana-5709 205 27 , , PUNCT cana-5709 205 28 𝐢3 𝐢3 NOUN cana-5709 205 29 = = SYM cana-5709 205 30 179.793 179.793 NUM cana-5709 205 31 . . PUNCT cana-5709 206 1 4 4 NUM cana-5709 206 2 . . X cana-5709 206 3 stability stability NOUN cana-5709 206 4 analysis analysis NOUN cana-5709 206 5 the the DET cana-5709 206 6 linearized linearize VERB cana-5709 206 7 system system NOUN cana-5709 206 8 ’s ’s PART cana-5709 206 9 characteristic characteristic ADJ cana-5709 206 10 equation equation NOUN cana-5709 206 11 , , PUNCT cana-5709 206 12 ( ( PUNCT cana-5709 206 13 3.2 3.2 NUM cana-5709 206 14 ) ) PUNCT cana-5709 206 15 , , PUNCT cana-5709 206 16 is be AUX cana-5709 206 17 generated generate VERB cana-5709 206 18 by by ADP cana-5709 206 19 , , PUNCT cana-5709 206 20 βˆ†(πœ† βˆ†(πœ† PROPN cana-5709 206 21 ) ) PUNCT cana-5709 206 22 = = SYM cana-5709 207 1 |πœ†πΌ |πœ†πΌ NOUN cana-5709 208 1 + + CCONJ cana-5709 208 2 𝐴1 𝐴1 PROPN cana-5709 208 3 βˆ’ βˆ’ PROPN cana-5709 208 4 𝑒 𝑒 PART cana-5709 208 5 βˆ’πœ†πœπ΄2| βˆ’πœ†πœπ΄2| NOUN cana-5709 208 6 = = NOUN cana-5709 208 7 0 0 PROPN cana-5709 208 8 that that PRON cana-5709 208 9 is be AUX cana-5709 208 10 , , PUNCT cana-5709 208 11 πœ†3 πœ†3 NOUN cana-5709 208 12 + + NOUN cana-5709 208 13 𝑐1πœ†2 𝑐1πœ†2 PUNCT cana-5709 209 1 + + NUM cana-5709 209 2 𝑐2πœ† 𝑐2πœ† NOUN cana-5709 209 3 + + CCONJ cana-5709 209 4 𝑐3𝑒 𝑐3𝑒 NOUN cana-5709 209 5 βˆ’πœ†πœ βˆ’πœ†πœ PROPN cana-5709 209 6 + + CCONJ cana-5709 209 7 𝑐4πœ†π‘’ 𝑐4πœ†π‘’ PROPN cana-5709 209 8 βˆ’πœ†πœ βˆ’πœ†πœ PROPN cana-5709 209 9 + + CCONJ cana-5709 209 10 𝑐5 𝑐5 ADJ cana-5709 209 11 = = SYM cana-5709 209 12 0 0 NUM cana-5709 209 13 , , PUNCT cana-5709 209 14 ( ( PUNCT cana-5709 209 15 4.1 4.1 NUM cana-5709 209 16 ) ) PUNCT cana-5709 209 17 compared compare VERB cana-5709 209 18 to to ADP cana-5709 209 19 the the DET cana-5709 209 20 ode ode PROPN cana-5709 209 21 model model NOUN cana-5709 209 22 , , PUNCT cana-5709 209 23 it it PRON cana-5709 209 24 is be AUX cana-5709 209 25 difficult difficult ADJ cana-5709 209 26 to to PART cana-5709 209 27 find find VERB cana-5709 209 28 the the DET cana-5709 209 29 eigenvalues eigenvalue NOUN cana-5709 209 30 of of ADP cana-5709 209 31 ( ( PUNCT cana-5709 209 32 4.1 4.1 NUM cana-5709 209 33 ) ) PUNCT cana-5709 209 34 , , PUNCT cana-5709 209 35 since since SCONJ cana-5709 209 36 it it PRON cana-5709 209 37 is be AUX cana-5709 209 38 a a DET cana-5709 209 39 transcen transcen NOUN cana-5709 209 40 dental dental ADJ cana-5709 209 41 equation equation NOUN cana-5709 209 42 and and CCONJ cana-5709 209 43 it it PRON cana-5709 209 44 has have VERB cana-5709 209 45 infinitely infinitely ADV cana-5709 209 46 many many ADJ cana-5709 209 47 eigenvalues eigenvalue NOUN cana-5709 209 48 . . PUNCT cana-5709 210 1 let let VERB cana-5709 210 2 πœ† πœ† NOUN cana-5709 210 3 = = SYM cana-5709 210 4 πœ‚(𝜏 πœ‚(𝜏 NOUN cana-5709 210 5 ) ) PUNCT cana-5709 211 1 + + NUM cana-5709 211 2 π‘–πœ”(𝜏)(πœ” π‘–πœ”(𝜏)(πœ” NOUN cana-5709 211 3 > > X cana-5709 211 4 0 0 NUM cana-5709 211 5 ) ) PUNCT cana-5709 211 6 , , PUNCT cana-5709 211 7 be be AUX cana-5709 211 8 the the DET cana-5709 211 9 eigenvalue eigenvalue NOUN cana-5709 211 10 off off ADP cana-5709 211 11 the the DET cana-5709 211 12 characteristic characteristic ADJ cana-5709 211 13 equation equation NOUN cana-5709 211 14 ( ( PUNCT cana-5709 211 15 4.1 4.1 NUM cana-5709 211 16 ) ) PUNCT cana-5709 211 17 , , PUNCT cana-5709 211 18 where where SCONJ cana-5709 211 19 πœ‚(𝜏 πœ‚(𝜏 NOUN cana-5709 211 20 ) ) PUNCT cana-5709 211 21 and and CCONJ cana-5709 211 22 πœ”(𝜏 πœ”(𝜏 PROPN cana-5709 211 23 ) ) PUNCT cana-5709 211 24 depend depend VERB cana-5709 211 25 only only ADV cana-5709 211 26 on on ADP cana-5709 211 27 the the DET cana-5709 211 28 delay delay NOUN cana-5709 211 29 𝜏. 𝜏. NOUN cana-5709 211 30 suppose suppose VERB cana-5709 211 31 π‘–πœ”(πœ” π‘–πœ”(πœ” PRON cana-5709 211 32 > > X cana-5709 211 33 0 0 NUM cana-5709 211 34 ) ) PUNCT cana-5709 211 35 is be AUX cana-5709 211 36 a a DET cana-5709 211 37 root root NOUN cana-5709 211 38 of of ADP cana-5709 211 39 ( ( PUNCT cana-5709 211 40 4.1 4.1 NUM cana-5709 211 41 ) ) PUNCT cana-5709 211 42 if if SCONJ cana-5709 211 43 and and CCONJ cana-5709 211 44 only only ADV cana-5709 211 45 if if SCONJ cana-5709 211 46 β„Ž(𝑧 β„Ž(𝑧 NOUN cana-5709 211 47 ) ) PUNCT cana-5709 211 48 = = VERB cana-5709 212 1 𝑧3 𝑧3 ADJ cana-5709 212 2 + + CCONJ cana-5709 212 3 ¡𝑧2 ¡𝑧2 NOUN cana-5709 212 4 + + X cana-5709 212 5 𝑣𝑍 𝑣𝑍 ADJ cana-5709 212 6 + + CCONJ cana-5709 212 7 𝜌 𝜌 X cana-5709 212 8 = = SYM cana-5709 212 9 0 0 NUM cana-5709 212 10 , , PUNCT cana-5709 212 11 where where SCONJ cana-5709 212 12 𝑧 𝑧 PRON cana-5709 212 13 = = SYM cana-5709 212 14 πœ”2 πœ”2 PROPN cana-5709 212 15 , , PUNCT cana-5709 212 16 Β΅ Β΅ X cana-5709 212 17 = = NOUN cana-5709 212 18 𝑐1 𝑐1 NOUN cana-5709 212 19 2 2 NUM cana-5709 212 20 βˆ’ βˆ’ NOUN cana-5709 212 21 2𝑐2 2𝑐2 NUM cana-5709 212 22 , , PUNCT cana-5709 212 23 𝑣 𝑣 PRON cana-5709 212 24 = = PUNCT cana-5709 212 25 𝑐2 𝑐2 NOUN cana-5709 212 26 2 2 NUM cana-5709 212 27 βˆ’ βˆ’ PROPN cana-5709 212 28 2𝑐1𝑐5 2𝑐1𝑐5 NUM cana-5709 212 29 βˆ’ βˆ’ NOUN cana-5709 212 30 𝑐4 𝑐4 PROPN cana-5709 212 31 2 2 NUM cana-5709 212 32 , , PUNCT cana-5709 212 33 𝜌 𝜌 X cana-5709 212 34 = = SYM cana-5709 212 35 𝑐5 𝑐5 ADJ cana-5709 212 36 2 2 NUM cana-5709 212 37 βˆ’ βˆ’ PROPN cana-5709 212 38 𝑐3 𝑐3 NOUN cana-5709 212 39 2 2 NUM cana-5709 212 40 . . PUNCT cana-5709 213 1 the the DET cana-5709 213 2 following follow VERB cana-5709 213 3 proposition proposition NOUN cana-5709 213 4 demonstrates demonstrate VERB cana-5709 213 5 that that SCONJ cana-5709 213 6 the the DET cana-5709 213 7 steady steady ADJ cana-5709 213 8 state state NOUN cana-5709 213 9 of of ADP cana-5709 213 10 the the DET cana-5709 213 11 delay delay NOUN cana-5709 213 12 model model NOUN cana-5709 213 13 ( ( PUNCT cana-5709 213 14 2.1 2.1 NUM cana-5709 213 15 ) ) PUNCT cana-5709 213 16 is be AUX cana-5709 213 17 asymptotically asymptotically ADV cana-5709 213 18 stable stable ADJ cana-5709 213 19 for for ADP cana-5709 213 20 all all DET cana-5709 213 21 delay delay NOUN cana-5709 213 22 values value NOUN cana-5709 213 23 if if SCONJ cana-5709 213 24 the the DET cana-5709 213 25 parameter parameter NOUN cana-5709 213 26 values value NOUN cana-5709 213 27 in in ADP cana-5709 213 28 table table NOUN cana-5709 213 29 1 1 NUM cana-5709 213 30 satisfy satisfy NOUN cana-5709 213 31 the the DET cana-5709 213 32 specified specified ADJ cana-5709 213 33 conditions condition NOUN cana-5709 213 34 . . PUNCT cana-5709 214 1 4.1 4.1 NUM cana-5709 214 2 . . PUNCT cana-5709 214 3 proposition proposition NOUN cana-5709 214 4 if if SCONJ cana-5709 214 5 ( ( PUNCT cana-5709 214 6 i)𝑐1 i)𝑐1 NOUN cana-5709 214 7 > > X cana-5709 214 8 0 0 NUM cana-5709 214 9 , , PUNCT cana-5709 214 10 𝑐3 𝑐3 NOUN cana-5709 214 11 + + CCONJ cana-5709 214 12 𝑐5 𝑐5 ADJ cana-5709 214 13 > > X cana-5709 214 14 0 0 NUM cana-5709 214 15 , , PUNCT cana-5709 214 16 𝑐1(𝑐2 𝑐1(𝑐2 PRON cana-5709 214 17 + + X cana-5709 214 18 𝑐4 𝑐4 NOUN cana-5709 214 19 ) ) PUNCT cana-5709 214 20 βˆ’ βˆ’ PROPN cana-5709 214 21 ( ( PUNCT cana-5709 214 22 𝑐3 𝑐3 NOUN cana-5709 214 23 + + CCONJ cana-5709 214 24 𝑐5 𝑐5 NOUN cana-5709 214 25 ) ) PUNCT cana-5709 214 26 > > X cana-5709 214 27 0 0 NUM cana-5709 214 28 , , PUNCT cana-5709 214 29 ( ( PUNCT cana-5709 214 30 ii ii NOUN cana-5709 214 31 ) ) PUNCT cana-5709 214 32 𝜌 𝜌 ADP cana-5709 214 33 β‰₯ β‰₯ NOUN cana-5709 214 34 0 0 NUM cana-5709 214 35 , , PUNCT cana-5709 214 36 and and CCONJ cana-5709 214 37 𝜈 𝜈 X cana-5709 214 38 > > X cana-5709 214 39 0 0 NUM cana-5709 214 40 , , PUNCT cana-5709 214 41 then then ADV cana-5709 214 42 the the DET cana-5709 214 43 fuzzy fuzzy ADJ cana-5709 214 44 delay delay NOUN cana-5709 214 45 model model PROPN cana-5709 214 46 ’s ’s PART cana-5709 214 47 infected infect VERB cana-5709 214 48 steady steady ADJ cana-5709 214 49 state state NOUN cana-5709 214 50 ( ( PUNCT cana-5709 214 51 2.1 2.1 NUM cana-5709 214 52 ) ) PUNCT cana-5709 214 53 is be AUX cana-5709 214 54 completely completely ADV cana-5709 214 55 stable stable ADJ cana-5709 214 56 . . PUNCT cana-5709 215 1 that that PRON cana-5709 215 2 is be AUX cana-5709 215 3 , , PUNCT cana-5709 215 4 ” " PUNCT cana-5709 215 5 e e NOUN cana-5709 215 6 ” " PUNCT cana-5709 215 7 is be AUX cana-5709 215 8 stable stable ADJ cana-5709 215 9 asymptotically asymptotically ADV cana-5709 215 10 across across ADP cana-5709 215 11 all all PRON cana-5709 215 12 𝜏 𝜏 PRON cana-5709 215 13 β‰₯ β‰₯ NOUN cana-5709 215 14 0 0 NUM cana-5709 215 15 . . PUNCT cana-5709 216 1 case case NOUN cana-5709 216 2 ( ( PUNCT cana-5709 216 3 i i NOUN cana-5709 216 4 ): ): PUNCT cana-5709 216 5 for for ADP cana-5709 216 6 n n NOUN cana-5709 216 7 = = SYM cana-5709 216 8 500 500 NUM cana-5709 216 9 , , PUNCT cana-5709 216 10 then𝑐1 then𝑐1 NOUN cana-5709 217 1 = = SYM cana-5709 217 2 3.07 3.07 NUM cana-5709 217 3 , , PUNCT cana-5709 217 4 𝑐2 𝑐2 NOUN cana-5709 217 5 = = SYM cana-5709 217 6 1.70173 1.70173 NUM cana-5709 217 7 , , PUNCT cana-5709 217 8 𝑐 𝑐 PROPN cana-5709 217 9 3 3 NUM cana-5709 217 10 = = SYM cana-5709 217 11 βˆ’0.2256 βˆ’0.2256 PROPN cana-5709 217 12 , , PUNCT cana-5709 217 13 𝑐4 𝑐4 NOUN cana-5709 217 14 = = SYM cana-5709 217 15 βˆ’0.6255 βˆ’0.6255 NOUN cana-5709 217 16 , , PUNCT cana-5709 217 17 𝑐5 𝑐5 PROPN cana-5709 217 18 = = SYM cana-5709 217 19 0.2525 0.2525 NUM cana-5709 217 20 , , PUNCT cana-5709 217 21 𝑐3 𝑐3 NOUN cana-5709 217 22 + + CCONJ cana-5709 217 23 𝑐5 𝑐5 NOUN cana-5709 217 24 = = SYM cana-5709 217 25 0.027 0.027 NUM cana-5709 217 26 > > X cana-5709 217 27 0 0 PROPN cana-5709 217 28 , , PUNCT cana-5709 217 29 𝑐1(𝑐2 𝑐1(𝑐2 PRON cana-5709 217 30 + + X cana-5709 217 31 𝑐4 𝑐4 NOUN cana-5709 217 32 ) ) PUNCT cana-5709 217 33 βˆ’ βˆ’ PROPN cana-5709 217 34 ( ( PUNCT cana-5709 217 35 𝑐3 𝑐3 NOUN cana-5709 217 36 + + CCONJ cana-5709 217 37 𝑐5 𝑐5 NOUN cana-5709 217 38 ) ) PUNCT cana-5709 217 39 = = PUNCT cana-5709 218 1 3.27703 3.27703 NUM cana-5709 218 2 > > SYM cana-5709 218 3 0 0 NUM cana-5709 218 4 , , PUNCT cana-5709 218 5 and and CCONJ cana-5709 218 6 ρ ρ X cana-5709 218 7 = = SYM cana-5709 219 1 0.01286 0.01286 NUM cana-5709 219 2 β‰₯ β‰₯ NOUN cana-5709 219 3 0,v 0,v PUNCT cana-5709 219 4 = = PUNCT cana-5709 220 1 0.95428 0.95428 NUM cana-5709 220 2 > > PUNCT cana-5709 220 3 0 0 X cana-5709 220 4 . . PUNCT cana-5709 221 1 the the DET cana-5709 221 2 infected infect VERB cana-5709 221 3 steady steady ADJ cana-5709 221 4 state state NOUN cana-5709 221 5 𝐸 𝐸 NOUN cana-5709 221 6 = = SYM cana-5709 221 7 ( ( PUNCT cana-5709 221 8 260.7[𝐹1(𝛼 260.7[𝐹1(𝛼 NUM cana-5709 221 9 ) ) PUNCT cana-5709 221 10 ] ] X cana-5709 221 11 , , PUNCT cana-5709 221 12 35.5[𝐹2(𝛼)],1768.2[𝐹3(𝛼 35.5[𝐹2(𝛼)],1768.2[𝐹3(𝛼 NUM cana-5709 221 13 ) ) PUNCT cana-5709 221 14 ] ] PUNCT cana-5709 221 15 ) ) PUNCT cana-5709 221 16 is be AUX cana-5709 221 17 asymptotically asymptotically ADV cana-5709 221 18 stable stable ADJ cana-5709 221 19 , , PUNCT cana-5709 221 20 as as SCONJ cana-5709 221 21 demonstrated demonstrate VERB cana-5709 221 22 by by ADP cana-5709 221 23 the the DET cana-5709 221 24 numerical numerical ADJ cana-5709 221 25 simulations simulation NOUN cana-5709 221 26 and and CCONJ cana-5709 221 27 all all PRON cana-5709 221 28 of of ADP cana-5709 221 29 the the DET cana-5709 221 30 parameter parameter NOUN cana-5709 221 31 values value NOUN cana-5709 221 32 in in ADP cana-5709 221 33 table table NOUN cana-5709 221 34 i. i. NOUN cana-5709 221 35 case case NOUN cana-5709 221 36 ( ( PUNCT cana-5709 221 37 ii ii NUM cana-5709 221 38 ): ): PUNCT cana-5709 221 39 there there PRON cana-5709 221 40 will will AUX cana-5709 221 41 be be AUX cana-5709 221 42 a a DET cana-5709 221 43 significant significant ADJ cana-5709 221 44 increase increase NOUN cana-5709 221 45 in in ADP cana-5709 221 46 the the DET cana-5709 221 47 number number NOUN cana-5709 221 48 of of ADP cana-5709 221 49 infected infected ADJ cana-5709 221 50 cells cell NOUN cana-5709 221 51 and and CCONJ cana-5709 221 52 a a DET cana-5709 221 53 decrease decrease NOUN cana-5709 221 54 in in ADP cana-5709 221 55 the the DET cana-5709 221 56 number number NOUN cana-5709 221 57 of of ADP cana-5709 221 58 uninfected uninfected ADJ cana-5709 221 59 cd4 cd4 PROPN cana-5709 221 60 + + PROPN cana-5709 221 61 t t PROPN cana-5709 221 62 - - PUNCT cana-5709 221 63 cells cell NOUN cana-5709 221 64 as as SCONJ cana-5709 221 65 the the DET cana-5709 221 66 n n NUM cana-5709 221 67 value value NOUN cana-5709 221 68 is be AUX cana-5709 221 69 raised raise VERB cana-5709 221 70 , , PUNCT cana-5709 221 71 but but CCONJ cana-5709 221 72 the the DET cana-5709 221 73 steady steady ADJ cana-5709 221 74 state state NOUN cana-5709 221 75 will will AUX cana-5709 221 76 remain remain VERB cana-5709 221 77 stable stable ADJ cana-5709 221 78 . . PUNCT cana-5709 222 1 if if SCONJ cana-5709 222 2 n n PRON cana-5709 222 3 equals equal VERB cana-5709 222 4 1000 1000 NUM cana-5709 222 5 , , PUNCT cana-5709 222 6 then then ADV cana-5709 222 7 𝑐1 𝑐1 NOUN cana-5709 222 8 = = NOUN cana-5709 222 9 2.7422 2.7422 NUM cana-5709 222 10 , , PUNCT cana-5709 222 11 𝑐2 𝑐2 NOUN cana-5709 222 12 = = SYM cana-5709 222 13 0.8360 0.8360 NUM cana-5709 222 14 , , PUNCT cana-5709 222 15 𝑐3 𝑐3 NOUN cana-5709 222 16 = = SYM cana-5709 222 17 0.00299 0.00299 NUM cana-5709 222 18 , , PUNCT cana-5709 222 19 𝑐4 𝑐4 PROPN cana-5709 222 20 = = SYM cana-5709 222 21 βˆ’0.62477 βˆ’0.62477 PROPN cana-5709 222 22 , , PUNCT cana-5709 222 23 𝑐5 𝑐5 PROPN cana-5709 222 24 = = SYM cana-5709 222 25 0.04955 0.04955 NUM cana-5709 222 26 , , PUNCT cana-5709 222 27 𝑐3 𝑐3 NOUN cana-5709 222 28 + + CCONJ cana-5709 222 29 𝑐5 𝑐5 NOUN cana-5709 222 30 = = SYM cana-5709 222 31 0.0525535 0.0525535 NUM cana-5709 222 32 > > X cana-5709 222 33 0 0 PROPN cana-5709 222 34 , , PUNCT cana-5709 222 35 𝑐1(𝑐2 𝑐1(𝑐2 PRON cana-5709 222 36 + + X cana-5709 222 37 𝑐4 𝑐4 NOUN cana-5709 222 38 ) ) PUNCT cana-5709 222 39 βˆ’ βˆ’ PROPN cana-5709 223 1 ( ( PUNCT cana-5709 223 2 𝑐3 𝑐3 NOUN cana-5709 223 3 + + CCONJ cana-5709 223 4 𝑐5 𝑐5 NOUN cana-5709 223 5 ) ) PUNCT cana-5709 223 6 = = PUNCT cana-5709 224 1 0.526945 0.526945 NUM cana-5709 224 2 > > SYM cana-5709 224 3 0 0 NUM cana-5709 224 4 , , PUNCT cana-5709 224 5 and and CCONJ cana-5709 224 6 𝜌 𝜌 X cana-5709 224 7 = = NOUN cana-5709 224 8 communications communication NOUN cana-5709 224 9 on on ADP cana-5709 224 10 applied apply VERB cana-5709 224 11 nonlinear nonlinear ADJ cana-5709 224 12 analysis analysis NOUN cana-5709 224 13 issn issn NOUN cana-5709 224 14 : : PUNCT cana-5709 224 15 1074 1074 NUM cana-5709 224 16 - - PUNCT cana-5709 224 17 133x 133x NUM cana-5709 224 18 vol vol VERB cana-5709 224 19 32 32 NUM cana-5709 224 20 no no NOUN cana-5709 224 21 . . PUNCT cana-5709 225 1 10s 10 NOUN cana-5709 225 2 ( ( PUNCT cana-5709 225 3 2025 2025 NUM cana-5709 225 4 ) ) PUNCT cana-5709 225 5 2690 2690 NUM cana-5709 225 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 225 7 0.00244 0.00244 NUM cana-5709 225 8 β‰₯ β‰₯ NOUN cana-5709 225 9 0 0 NUM cana-5709 225 10 , , PUNCT cana-5709 225 11 𝑣 𝑣 X cana-5709 225 12 = = NOUN cana-5709 225 13 0.036806 0.036806 NUM cana-5709 225 14 > > X cana-5709 225 15 0 0 X cana-5709 225 16 . . PUNCT cana-5709 226 1 as as ADP cana-5709 226 2 a a DET cana-5709 226 3 result result NOUN cana-5709 226 4 , , PUNCT cana-5709 226 5 the the DET cana-5709 226 6 infected infect VERB cana-5709 226 7 steady steady ADJ cana-5709 226 8 state state NOUN cana-5709 226 9 𝐸 𝐸 NOUN cana-5709 226 10 = = SYM cana-5709 226 11 ( ( PUNCT cana-5709 226 12 130.2[𝐹1(𝛼 130.2[𝐹1(𝛼 NUM cana-5709 226 13 ) ) PUNCT cana-5709 226 14 ] ] PUNCT cana-5709 226 15 , , PUNCT cana-5709 226 16 34.9[𝐹2(𝛼 34.9[𝐹2(𝛼 NUM cana-5709 226 17 ) ) PUNCT cana-5709 226 18 ] ] PUNCT cana-5709 226 19 , , PUNCT cana-5709 226 20 3480.1[𝐹3(𝛼)])is 3480.1[𝐹3(𝛼)])is NUM cana-5709 226 21 asymptotically asymptotically ADV cana-5709 226 22 stable stable ADJ cana-5709 226 23 based base VERB cana-5709 226 24 on on ADP cana-5709 226 25 all all PRON cana-5709 226 26 of of ADP cana-5709 226 27 the the DET cana-5709 226 28 parameter parameter NOUN cana-5709 226 29 values value NOUN cana-5709 226 30 in in ADP cana-5709 226 31 table table NOUN cana-5709 226 32 1 1 NUM cana-5709 226 33 . . PUNCT cana-5709 226 34 therefore therefore ADV cana-5709 226 35 , , PUNCT cana-5709 226 36 for for ADP cana-5709 226 37 any any DET cana-5709 226 38 delay delay NOUN cana-5709 226 39 𝜏 𝜏 PRON cana-5709 226 40 β‰₯ β‰₯ NOUN cana-5709 226 41 0 0 NUM cana-5709 226 42 , , PUNCT cana-5709 226 43 the the DET cana-5709 226 44 infected infect VERB cana-5709 226 45 steady steady ADJ cana-5709 226 46 state state NOUN cana-5709 226 47 e e NOUN cana-5709 226 48 is be AUX cana-5709 226 49 statistically statistically ADV cana-5709 226 50 stable stable ADJ cana-5709 226 51 . . PUNCT cana-5709 227 1 if if SCONJ cana-5709 227 2 proposition proposition NOUN cana-5709 227 3 4.1 4.1 NUM cana-5709 227 4 ’s ’s PART cana-5709 227 5 conditions condition NOUN cana-5709 227 6 ( ( PUNCT cana-5709 227 7 i i NOUN cana-5709 227 8 ) ) PUNCT cana-5709 227 9 and and CCONJ cana-5709 227 10 ( ( PUNCT cana-5709 227 11 ii ii NOUN cana-5709 227 12 ) ) PUNCT cana-5709 227 13 are be AUX cana-5709 227 14 not not PART cana-5709 227 15 met meet VERB cana-5709 227 16 , , PUNCT cana-5709 227 17 the the DET cana-5709 227 18 steady steady ADJ cana-5709 227 19 state state NOUN cana-5709 227 20 stability stability NOUN cana-5709 227 21 is be AUX cana-5709 227 22 dependent dependent ADJ cana-5709 227 23 on on ADP cana-5709 227 24 the the DET cana-5709 227 25 delay delay NOUN cana-5709 227 26 value value NOUN cana-5709 227 27 , , PUNCT cana-5709 227 28 and and CCONJ cana-5709 227 29 the the DET cana-5709 227 30 delay delay NOUN cana-5709 227 31 may may AUX cana-5709 227 32 even even ADV cana-5709 227 33 cause cause VERB cana-5709 227 34 oscillations oscillation NOUN cana-5709 227 35 . . PUNCT cana-5709 228 1 when when SCONJ cana-5709 228 2 𝜏 𝜏 NOUN cana-5709 228 3 passes pass VERB cana-5709 228 4 through through ADP cana-5709 228 5 a a DET cana-5709 228 6 critical critical ADJ cana-5709 228 7 value value NOUN cana-5709 228 8 πœπ‘— πœπ‘— NOUN cana-5709 228 9 , , PUNCT cana-5709 228 10 a a DET cana-5709 228 11 hopf hopf ADJ cana-5709 228 12 - - PUNCT cana-5709 228 13 bifurcation bifurcation NOUN cana-5709 228 14 [ [ X cana-5709 228 15 9 9 NUM cana-5709 228 16 ] ] PUNCT cana-5709 228 17 occurs occur VERB cana-5709 228 18 . . PUNCT cana-5709 229 1 πœπ‘— πœπ‘— NOUN cana-5709 229 2 = = SYM cana-5709 229 3 1 1 NUM cana-5709 229 4 πœ”0 πœ”0 NOUN cana-5709 229 5 π‘Žπ‘Ÿπ‘ π‘Žπ‘Ÿπ‘ NOUN cana-5709 229 6 π‘π‘œπ‘  π‘π‘œπ‘  NOUN cana-5709 229 7 ( ( PUNCT cana-5709 229 8 𝑐4πœ”0 𝑐4πœ”0 ADP cana-5709 229 9 4 4 NUM cana-5709 229 10 + + CCONJ cana-5709 229 11 ( ( PUNCT cana-5709 229 12 𝑐1𝑐3 𝑐1𝑐3 X cana-5709 229 13 βˆ’ βˆ’ NOUN cana-5709 229 14 𝑐2𝑐4)πœ”0 𝑐2𝑐4)πœ”0 VERB cana-5709 229 15 2 2 NUM cana-5709 229 16 βˆ’ βˆ’ DET cana-5709 229 17 𝑐3𝑐5 𝑐3𝑐5 NOUN cana-5709 229 18 𝑐3 𝑐3 NOUN cana-5709 229 19 2 2 NUM cana-5709 229 20 + + NUM cana-5709 229 21 𝑐4 𝑐4 NOUN cana-5709 229 22 2πœ”0 2πœ”0 NUM cana-5709 229 23 2 2 NUM cana-5709 229 24 ) ) PUNCT cana-5709 230 1 + + CCONJ cana-5709 230 2 2π‘—πœ‹ 2π‘—πœ‹ ADJ cana-5709 230 3 πœ”0 πœ”0 NOUN cana-5709 230 4 , , PUNCT cana-5709 230 5 𝑗 𝑗 NOUN cana-5709 230 6 = = NOUN cana-5709 230 7 0,1,2 0,1,2 NUM cana-5709 230 8 , , PUNCT cana-5709 230 9 . . PUNCT cana-5709 230 10 .. .. PUNCT cana-5709 231 1 such such ADJ cana-5709 231 2 that that SCONJ cana-5709 231 3 πœ‚(𝑑0)=0 πœ‚(𝑑0)=0 NUM cana-5709 231 4 , , PUNCT cana-5709 231 5 πœ”(𝜏0 πœ”(𝜏0 NOUN cana-5709 231 6 ) ) PUNCT cana-5709 231 7 = = SYM cana-5709 231 8 πœ”0 πœ”0 NOUN cana-5709 231 9 . . PUNCT cana-5709 232 1 the the DET cana-5709 232 2 transversality transversality NOUN cana-5709 232 3 condition condition NOUN cana-5709 232 4 is be AUX cana-5709 232 5 : : PUNCT cana-5709 232 6 𝑑 𝑑 PROPN cana-5709 232 7 π‘‘πœ π‘‘πœ PROPN cana-5709 232 8 𝑅𝑒(πœ†(𝜏))|𝜏=𝜏0 𝑅𝑒(πœ†(𝜏))|𝜏=𝜏0 PROPN cana-5709 232 9 = = PROPN cana-5709 232 10 𝑑 𝑑 PROPN cana-5709 232 11 π‘‘πœ π‘‘πœ PROPN cana-5709 232 12 𝑅𝑒(πœ‚(𝜏))|𝜏=𝜏0 𝑅𝑒(πœ‚(𝜏))|𝜏=𝜏0 PROPN cana-5709 232 13 > > X cana-5709 232 14 0 0 NUM cana-5709 232 15 . . X cana-5709 232 16 4.2 4.2 NUM cana-5709 232 17 . . PUNCT cana-5709 233 1 proposition proposition NOUN cana-5709 233 2 if if SCONJ cana-5709 233 3 ( ( PUNCT cana-5709 233 4 i)𝑐1 i)𝑐1 NOUN cana-5709 233 5 > > X cana-5709 233 6 0 0 NUM cana-5709 233 7 , , PUNCT cana-5709 233 8 𝑐3 𝑐3 NOUN cana-5709 233 9 + + CCONJ cana-5709 233 10 𝑐5 𝑐5 ADJ cana-5709 233 11 > > X cana-5709 233 12 0 0 NUM cana-5709 233 13 , , PUNCT cana-5709 233 14 𝑐1(𝑐2 𝑐1(𝑐2 PRON cana-5709 233 15 + + X cana-5709 233 16 𝑐4 𝑐4 NOUN cana-5709 233 17 ) ) PUNCT cana-5709 233 18 βˆ’ βˆ’ PROPN cana-5709 233 19 ( ( PUNCT cana-5709 233 20 𝑐3 𝑐3 NOUN cana-5709 233 21 + + CCONJ cana-5709 233 22 𝑐5 𝑐5 NOUN cana-5709 233 23 ) ) PUNCT cana-5709 233 24 > > X cana-5709 233 25 0 0 PUNCT cana-5709 233 26 ( ( PUNCT cana-5709 233 27 ii ii NOUN cana-5709 233 28 ) ) PUNCT cana-5709 233 29 𝜌 𝜌 ADP cana-5709 233 30 < < X cana-5709 233 31 0 0 NUM cana-5709 233 32 , , PUNCT cana-5709 233 33 ( ( PUNCT cana-5709 233 34 iii iii X cana-5709 233 35 ) ) PUNCT cana-5709 233 36 𝜌 𝜌 ADP cana-5709 233 37 β‰₯ β‰₯ NOUN cana-5709 233 38 0 0 NUM cana-5709 233 39 , , PUNCT cana-5709 233 40 and and CCONJ cana-5709 233 41 𝑣0 𝑣0 NOUN cana-5709 233 42 , , PUNCT cana-5709 233 43 are be AUX cana-5709 233 44 satisfied satisfied ADJ cana-5709 233 45 , , PUNCT cana-5709 233 46 then then ADV cana-5709 233 47 the the DET cana-5709 233 48 infected infected ADJ cana-5709 233 49 steady steady ADJ cana-5709 233 50 state state NOUN cana-5709 233 51 of of ADP cana-5709 233 52 the the DET cana-5709 233 53 fuzzy fuzzy ADJ cana-5709 233 54 delay delay NOUN cana-5709 233 55 model model NOUN cana-5709 233 56 ( ( PUNCT cana-5709 233 57 2.1 2.1 NUM cana-5709 233 58 ) ) PUNCT cana-5709 233 59 is be AUX cana-5709 233 60 asymptotically asymptotically ADV cana-5709 233 61 stable stable ADJ cana-5709 233 62 when when SCONJ cana-5709 233 63 𝜏 𝜏 NOUN cana-5709 233 64 , , PUNCT cana-5709 233 65 𝜏0 𝜏0 NOUN cana-5709 233 66 , , PUNCT cana-5709 233 67 and and CCONJ cana-5709 233 68 unstable unstable ADJ cana-5709 233 69 when when SCONJ cana-5709 233 70 𝜏 𝜏 X cana-5709 233 71 > > X cana-5709 233 72 𝜏0 𝜏0 PROPN cana-5709 233 73 , , PUNCT cana-5709 233 74 where where SCONJ cana-5709 233 75 𝜏0 𝜏0 PROPN cana-5709 233 76 = = SYM cana-5709 233 77 1 1 NUM cana-5709 233 78 πœ”0 πœ”0 NOUN cana-5709 233 79 π‘Žπ‘Ÿπ‘ π‘Žπ‘Ÿπ‘ NOUN cana-5709 233 80 π‘π‘œπ‘  π‘π‘œπ‘  NOUN cana-5709 233 81 ( ( PUNCT cana-5709 233 82 𝑐4πœ”0 𝑐4πœ”0 ADP cana-5709 233 83 4 4 NUM cana-5709 233 84 + + CCONJ cana-5709 233 85 ( ( PUNCT cana-5709 233 86 𝑐1𝑐3 𝑐1𝑐3 X cana-5709 233 87 βˆ’ βˆ’ NOUN cana-5709 233 88 𝑐2𝑐4)πœ”0 𝑐2𝑐4)πœ”0 VERB cana-5709 233 89 2 2 NUM cana-5709 233 90 βˆ’ βˆ’ PRON cana-5709 234 1 𝑐3𝑐5 𝑐3𝑐5 NOUN cana-5709 235 1 𝑐3 𝑐3 NOUN cana-5709 235 2 2 2 NUM cana-5709 235 3 + + NUM cana-5709 235 4 𝑐4 𝑐4 NOUN cana-5709 235 5 2πœ”0 2πœ”0 NUM cana-5709 235 6 2 2 NUM cana-5709 235 7 ) ) PUNCT cana-5709 235 8 . . PUNCT cana-5709 236 1 when when SCONJ cana-5709 236 2 𝜏 𝜏 X cana-5709 236 3 = = SYM cana-5709 236 4 𝜏0 𝜏0 PROPN cana-5709 236 5 , , PUNCT cana-5709 236 6 a a DET cana-5709 236 7 hopf hopf ADJ cana-5709 236 8 bifurcation bifurcation NOUN cana-5709 236 9 occurs occur VERB cana-5709 236 10 ; ; PUNCT cana-5709 236 11 that that PRON cana-5709 236 12 is is ADV cana-5709 236 13 , , PUNCT cana-5709 236 14 a a DET cana-5709 236 15 family family NOUN cana-5709 236 16 of of ADP cana-5709 236 17 periodic periodic ADJ cana-5709 236 18 solutions solution NOUN cana-5709 236 19 bifurcates bifurcate NOUN cana-5709 236 20 from from ADP cana-5709 236 21 e e PROPN cana-5709 236 22 as as SCONJ cana-5709 236 23 𝜏 𝜏 PROPN cana-5709 236 24 passes pass VERB cana-5709 236 25 through through ADP cana-5709 236 26 the the DET cana-5709 236 27 critical critical ADJ cana-5709 236 28 value value NOUN cana-5709 236 29 𝜏0 𝜏0 PROPN cana-5709 236 30 . . PUNCT cana-5709 237 1 4.3 4.3 NUM cana-5709 237 2 . . PUNCT cana-5709 238 1 proposition proposition VERB cana-5709 238 2 the the DET cana-5709 238 3 characteristic characteristic ADJ cana-5709 238 4 equation equation NOUN cana-5709 238 5 of of ADP cana-5709 238 6 the the DET cana-5709 238 7 linearized linearize VERB cana-5709 238 8 system system NOUN cana-5709 238 9 is be AUX cana-5709 238 10 given give VERB cana-5709 238 11 by by ADP cana-5709 238 12 |𝐴 |𝐴 ADP cana-5709 239 1 = = PUNCT cana-5709 239 2 πœ†πΌ| πœ†πΌ| NOUN cana-5709 239 3 = = PUNCT cana-5709 239 4 πœ†3 πœ†3 NOUN cana-5709 239 5 + + NOUN cana-5709 239 6 𝑐2πœ† 𝑐2πœ† NOUN cana-5709 239 7 2 2 NUM cana-5709 240 1 + + CCONJ cana-5709 240 2 𝑐1πœ† 𝑐1πœ† X cana-5709 240 3 + + NUM cana-5709 240 4 𝑐0 𝑐0 NOUN cana-5709 240 5 = = SYM cana-5709 240 6 0 0 NUM cana-5709 240 7 , , PUNCT cana-5709 240 8 where where SCONJ cana-5709 240 9 for for ADP cana-5709 240 10 𝑁 𝑁 PROPN cana-5709 240 11 = = SYM cana-5709 240 12 500 500 NUM cana-5709 240 13 , , PUNCT cana-5709 240 14 𝑐2 𝑐2 NOUN cana-5709 240 15 = = SYM cana-5709 240 16 2.7099 2.7099 NUM cana-5709 240 17 , , PUNCT cana-5709 240 18 𝑐1 𝑐1 NOUN cana-5709 240 19 = = NOUN cana-5709 240 20 0.741621 0.741621 NUM cana-5709 240 21 , , PUNCT cana-5709 240 22 𝑐0 𝑐0 NOUN cana-5709 240 23 = = SYM cana-5709 240 24 0.0272083 0.0272083 NUM cana-5709 240 25 , , PUNCT cana-5709 240 26 for for ADP cana-5709 240 27 𝑁 𝑁 PROPN cana-5709 240 28 = = SYM cana-5709 240 29 1000 1000 NUM cana-5709 240 30 , , PUNCT cana-5709 240 31 𝑐2 𝑐2 NOUN cana-5709 240 32 = = SYM cana-5709 240 33 2.74225 2.74225 NUM cana-5709 240 34 , , PUNCT cana-5709 240 35 𝑐1 𝑐1 NOUN cana-5709 240 36 = = NOUN cana-5709 240 37 0.836078 0.836078 NUM cana-5709 240 38 , , PUNCT cana-5709 240 39 𝑐0 𝑐0 NOUN cana-5709 240 40 = = SYM cana-5709 240 41 0.049557 0.049557 NUM cana-5709 240 42 . . PUNCT cana-5709 241 1 the the DET cana-5709 241 2 eigenvalues eigenvalue NOUN cana-5709 241 3 of of ADP cana-5709 241 4 the the DET cana-5709 241 5 matrix matrix NOUN cana-5709 241 6 a a PRON cana-5709 241 7 are be AUX cana-5709 241 8 for for ADP cana-5709 241 9 𝑁 𝑁 PROPN cana-5709 241 10 = = SYM cana-5709 241 11 500 500 NUM cana-5709 241 12 , , PUNCT cana-5709 241 13 𝛼 𝛼 NOUN cana-5709 241 14 = = SYM cana-5709 241 15 βˆ’0.0434876 βˆ’0.0434876 NOUN cana-5709 241 16 , , PUNCT cana-5709 241 17 𝛽 𝛽 NOUN cana-5709 241 18 = = SYM cana-5709 241 19 βˆ’0.26 βˆ’0.26 PROPN cana-5709 241 20 , , PUNCT cana-5709 241 21 𝛾 𝛾 NOUN cana-5709 241 22 = = SYM cana-5709 241 23 βˆ’2.40641 βˆ’2.40641 PROPN cana-5709 241 24 , , PUNCT cana-5709 241 25 for for ADP cana-5709 241 26 𝑁 𝑁 PROPN cana-5709 241 27 = = SYM cana-5709 241 28 1000 1000 NUM cana-5709 241 29 , , PUNCT cana-5709 241 30 𝛼 𝛼 X cana-5709 241 31 = = PUNCT cana-5709 241 32 βˆ’0.0793157 βˆ’0.0793157 PROPN cana-5709 241 33 , , PUNCT cana-5709 241 34 𝛽 𝛽 NOUN cana-5709 241 35 = = SYM cana-5709 241 36 βˆ’0.26 βˆ’0.26 PROPN cana-5709 241 37 , , PUNCT cana-5709 241 38 𝛾 𝛾 NOUN cana-5709 241 39 = = PUNCT cana-5709 241 40 βˆ’2.40324 βˆ’2.40324 ADJ cana-5709 241 41 . . PUNCT cana-5709 242 1 if if SCONJ cana-5709 242 2 and and CCONJ cana-5709 242 3 only only ADV cana-5709 242 4 if if SCONJ cana-5709 242 5 all all PRON cana-5709 242 6 of of ADP cana-5709 242 7 the the DET cana-5709 242 8 eigenvalues eigenvalue NOUN cana-5709 242 9 have have VERB cana-5709 242 10 negative negative ADJ cana-5709 242 11 real real ADJ cana-5709 242 12 parts part NOUN cana-5709 242 13 , , PUNCT cana-5709 242 14 the the DET cana-5709 242 15 system system NOUN cana-5709 242 16 is be AUX cana-5709 242 17 said say VERB cana-5709 242 18 to to PART cana-5709 242 19 be be AUX cana-5709 242 20 stable stable ADJ cana-5709 242 21 . . PUNCT cana-5709 243 1 if if SCONJ cana-5709 243 2 any any DET cana-5709 243 3 one one NUM cana-5709 243 4 of of ADP cana-5709 243 5 the the DET cana-5709 243 6 eigenvalues eigenvalue NOUN cana-5709 243 7 has have VERB cana-5709 243 8 a a DET cana-5709 243 9 positive positive ADJ cana-5709 243 10 real real ADJ cana-5709 243 11 part part NOUN cana-5709 243 12 , , PUNCT cana-5709 243 13 the the DET cana-5709 243 14 system system NOUN cana-5709 243 15 is be AUX cana-5709 243 16 said say VERB cana-5709 243 17 to to PART cana-5709 243 18 be be AUX cana-5709 243 19 unstable unstable ADJ cana-5709 243 20 . . PUNCT cana-5709 244 1 we we PRON cana-5709 244 2 have have VERB cana-5709 244 3 three three NUM cana-5709 244 4 eigenvalues eigenvalue NOUN cana-5709 244 5 that that PRON cana-5709 244 6 are be AUX cana-5709 244 7 linearly linearly ADV cana-5709 244 8 independent independent ADJ cana-5709 244 9 . . PUNCT cana-5709 245 1 negative negative ADJ cana-5709 245 2 real real ADJ cana-5709 245 3 parts part NOUN cana-5709 245 4 are be AUX cana-5709 245 5 present present ADJ cana-5709 245 6 in in ADP cana-5709 245 7 all all DET cana-5709 245 8 eigenvalues eigenvalue NOUN cana-5709 245 9 . . PUNCT cana-5709 246 1 our our PRON cana-5709 246 2 system system NOUN cana-5709 246 3 is be AUX cana-5709 246 4 therefore therefore ADV cana-5709 246 5 stable stable ADJ cana-5709 246 6 . . PUNCT cana-5709 247 1 5 5 X cana-5709 247 2 . . X cana-5709 247 3 numerical numerical PROPN cana-5709 247 4 simulation simulation PROPN cana-5709 247 5 of of ADP cana-5709 247 6 sir sir PROPN cana-5709 247 7 model model NOUN cana-5709 247 8 in in ADP cana-5709 247 9 this this DET cana-5709 247 10 section section NOUN cana-5709 247 11 , , PUNCT cana-5709 247 12 we we PRON cana-5709 247 13 are be AUX cana-5709 247 14 using use VERB cana-5709 247 15 the the DET cana-5709 247 16 rkm-5 rkm-5 NOUN cana-5709 247 17 . . PUNCT cana-5709 248 1 we we PRON cana-5709 248 2 finding find VERB cana-5709 248 3 value value NOUN cana-5709 248 4 of of ADP cana-5709 248 5 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 248 6 ) ) PUNCT cana-5709 248 7 , , PUNCT cana-5709 248 8 𝐼𝑐(𝑑 𝐼𝑐(𝑑 NOUN cana-5709 248 9 ) ) PUNCT cana-5709 248 10 and and CCONJ cana-5709 248 11 𝐹𝑣(𝑑 𝐹𝑣(𝑑 NUM cana-5709 248 12 ) ) PUNCT cana-5709 248 13 at at ADP cana-5709 248 14 β„Ž β„Ž X cana-5709 248 15 = = SYM cana-5709 248 16 0.1 0.1 NUM cana-5709 248 17 for for ADP cana-5709 248 18 the the DET cana-5709 248 19 best good ADJ cana-5709 248 20 approximation approximation NOUN cana-5709 248 21 . . PUNCT cana-5709 249 1 for for ADP cana-5709 249 2 0 0 NUM cana-5709 249 3 ≀ ≀ NUM cana-5709 249 4 𝛼 𝛼 PRON cana-5709 249 5 ≀ ≀ NUM cana-5709 249 6 1 1 NUM cana-5709 249 7 . . PUNCT cana-5709 249 8 to to PART cana-5709 249 9 evaluate evaluate VERB cana-5709 249 10 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 249 11 ) ) PUNCT cana-5709 249 12 , , PUNCT cana-5709 249 13 𝐼𝑐(𝑑 𝐼𝑐(𝑑 NOUN cana-5709 249 14 ) ) PUNCT cana-5709 249 15 and and CCONJ cana-5709 249 16 𝐹𝑣(𝑑 𝐹𝑣(𝑑 NUM cana-5709 249 17 ) ) PUNCT cana-5709 249 18 , , PUNCT cana-5709 249 19 consider consider VERB cana-5709 249 20 , , PUNCT cana-5709 249 21 [ [ X cana-5709 249 22 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 ADJ cana-5709 249 23 + + NOUN cana-5709 249 24 1 1 NUM cana-5709 249 25 ) ) PUNCT cana-5709 249 26 ] ] PUNCT cana-5709 250 1 𝛼 𝛼 X cana-5709 250 2 = = X cana-5709 251 1 [ [ X cana-5709 251 2 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 251 3 ) ) PUNCT cana-5709 251 4 ] ] PUNCT cana-5709 252 1 𝛼 𝛼 X cana-5709 252 2 + + NOUN cana-5709 252 3 1 1 NUM cana-5709 252 4 90 90 NUM cana-5709 252 5 ( ( PUNCT cana-5709 252 6 7[𝐾1 7[𝐾1 PROPN cana-5709 252 7 ] ] PUNCT cana-5709 252 8 𝛼 𝛼 NOUN cana-5709 252 9 + + SYM cana-5709 252 10 32[𝐾3 32[𝐾3 NUM cana-5709 252 11 ] ] X cana-5709 252 12 𝛼 𝛼 X cana-5709 252 13 + + ADJ cana-5709 252 14 12[𝐾4 12[𝐾4 NOUN cana-5709 252 15 ] ] X cana-5709 252 16 𝛼 𝛼 X cana-5709 252 17 + + NOUN cana-5709 252 18 32[𝐾5 32[𝐾5 NUM cana-5709 252 19 ] ] X cana-5709 252 20 𝛼 𝛼 X cana-5709 253 1 + + X cana-5709 253 2 7[𝐾6 7[𝐾6 NUM cana-5709 253 3 ] ] X cana-5709 253 4 𝛼 𝛼 NOUN cana-5709 253 5 ) ) PUNCT cana-5709 253 6 , , PUNCT cana-5709 254 1 [ [ X cana-5709 254 2 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 254 3 + + NOUN cana-5709 254 4 1 1 NUM cana-5709 254 5 ) ) PUNCT cana-5709 254 6 ] ] PUNCT cana-5709 254 7 𝛼 𝛼 X cana-5709 254 8 = = X cana-5709 255 1 [ [ X cana-5709 255 2 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 255 3 ) ) PUNCT cana-5709 255 4 ] ] PUNCT cana-5709 256 1 𝛼 𝛼 X cana-5709 256 2 + + NOUN cana-5709 256 3 1 1 NUM cana-5709 256 4 90 90 NUM cana-5709 256 5 ( ( PUNCT cana-5709 256 6 7[𝐾1 7[𝐾1 PROPN cana-5709 256 7 ] ] PUNCT cana-5709 256 8 𝛼 𝛼 NOUN cana-5709 256 9 + + SYM cana-5709 256 10 32[𝐾3 32[𝐾3 NUM cana-5709 256 11 ] ] X cana-5709 256 12 𝛼 𝛼 X cana-5709 256 13 + + ADJ cana-5709 256 14 12[𝐾4 12[𝐾4 NOUN cana-5709 256 15 ] ] X cana-5709 256 16 𝛼 𝛼 X cana-5709 256 17 + + NOUN cana-5709 256 18 32[𝐾5 32[𝐾5 NUM cana-5709 256 19 ] ] X cana-5709 256 20 𝛼 𝛼 X cana-5709 257 1 + + X cana-5709 257 2 7[𝐾6 7[𝐾6 NUM cana-5709 257 3 ] ] X cana-5709 257 4 𝛼 𝛼 NOUN cana-5709 257 5 ) ) PUNCT cana-5709 257 6 , , PUNCT cana-5709 257 7 ( ( PUNCT cana-5709 257 8 5.1 5.1 NUM cana-5709 257 9 ) ) PUNCT cana-5709 258 1 [ [ X cana-5709 258 2 𝐹𝑉(𝑑 𝐹𝑉(𝑑 NOUN cana-5709 258 3 + + NOUN cana-5709 258 4 1 1 NUM cana-5709 258 5 ) ) PUNCT cana-5709 258 6 ] ] PUNCT cana-5709 258 7 𝛼 𝛼 X cana-5709 258 8 = = X cana-5709 259 1 [ [ X cana-5709 259 2 𝐹𝑣(𝑑 𝐹𝑣(𝑑 NUM cana-5709 259 3 ) ) PUNCT cana-5709 259 4 ] ] PUNCT cana-5709 260 1 𝛼 𝛼 X cana-5709 260 2 + + NOUN cana-5709 260 3 1 1 NUM cana-5709 260 4 90 90 NUM cana-5709 260 5 ( ( PUNCT cana-5709 260 6 7[𝐾1 7[𝐾1 PROPN cana-5709 260 7 ] ] PUNCT cana-5709 260 8 𝛼 𝛼 NOUN cana-5709 260 9 + + SYM cana-5709 260 10 32[𝐾3 32[𝐾3 NUM cana-5709 260 11 ] ] X cana-5709 260 12 𝛼 𝛼 X cana-5709 260 13 + + ADJ cana-5709 260 14 12[𝐾4 12[𝐾4 NOUN cana-5709 260 15 ] ] X cana-5709 260 16 𝛼 𝛼 X cana-5709 260 17 + + NOUN cana-5709 260 18 32[𝐾5 32[𝐾5 NUM cana-5709 260 19 ] ] X cana-5709 260 20 𝛼 𝛼 X cana-5709 261 1 + + X cana-5709 261 2 7[𝐾6 7[𝐾6 NUM cana-5709 261 3 ] ] X cana-5709 261 4 𝛼 𝛼 NOUN cana-5709 261 5 ) ) PUNCT cana-5709 261 6 , , PUNCT cana-5709 261 7 in in ADP cana-5709 261 8 estimate estimate NOUN cana-5709 261 9 ( ( PUNCT cana-5709 261 10 5.1 5.1 NUM cana-5709 261 11 ) ) PUNCT cana-5709 261 12 , , PUNCT cana-5709 261 13 for for ADP cana-5709 261 14 1 1 NUM cana-5709 261 15 ≀ ≀ NUM cana-5709 261 16 𝑝 𝑝 NOUN cana-5709 261 17 ≀ ≀ NOUN cana-5709 261 18 6 6 NUM cana-5709 261 19 and and CCONJ cana-5709 261 20 0 0 NUM cana-5709 261 21 ≀ ≀ NUM cana-5709 262 1 𝛼 𝛼 VERB cana-5709 262 2 ≀ ≀ NUM cana-5709 262 3 1 1 NUM cana-5709 262 4 , , PUNCT cana-5709 262 5 we we PRON cana-5709 262 6 use use VERB cana-5709 262 7 [ [ X cana-5709 262 8 𝐾𝑝 𝐾𝑝 X cana-5709 262 9 ] ] X cana-5709 262 10 𝛼 𝛼 NOUN cana-5709 262 11 = = X cana-5709 263 1 [ [ X cana-5709 263 2 𝐾𝑝(𝑑 𝐾𝑝(𝑑 X cana-5709 263 3 ; ; PUNCT cana-5709 263 4 𝛼 𝛼 X cana-5709 263 5 ) ) PUNCT cana-5709 263 6 , , PUNCT cana-5709 263 7 𝐾𝑝(𝑑 𝐾𝑝(𝑑 X cana-5709 263 8 ; ; PUNCT cana-5709 263 9 𝛼 𝛼 X cana-5709 263 10 ) ) PUNCT cana-5709 263 11 ] ] PUNCT cana-5709 263 12 , , PUNCT cana-5709 263 13 [ [ X cana-5709 263 14 𝐿𝑝 𝐿𝑝 ADP cana-5709 263 15 ] ] X cana-5709 263 16 𝛼 𝛼 NOUN cana-5709 263 17 = = PUNCT cana-5709 264 1 [ [ X cana-5709 264 2 𝐿𝑝(𝑑 𝐿𝑝(𝑑 X cana-5709 264 3 ; ; PUNCT cana-5709 264 4 𝛼 𝛼 X cana-5709 264 5 ) ) PUNCT cana-5709 264 6 , , PUNCT cana-5709 264 7 𝐿𝑝(𝑑 𝐿𝑝(𝑑 PROPN cana-5709 264 8 ; ; PUNCT cana-5709 264 9 𝛼 𝛼 X cana-5709 264 10 ) ) PUNCT cana-5709 264 11 ] ] PUNCT cana-5709 265 1 [ [ X cana-5709 265 2 𝑀𝑝 𝑀𝑝 X cana-5709 265 3 ] ] X cana-5709 265 4 𝛼 𝛼 NOUN cana-5709 265 5 = = X cana-5709 266 1 [ [ X cana-5709 266 2 𝑀𝑝(𝑑 𝑀𝑝(𝑑 NOUN cana-5709 266 3 ; ; PUNCT cana-5709 266 4 𝛼),𝑀𝑝(𝑑 𝛼),𝑀𝑝(𝑑 ADJ cana-5709 266 5 ; ; PUNCT cana-5709 266 6 𝛼 𝛼 X cana-5709 266 7 ) ) PUNCT cana-5709 266 8 ] ] PUNCT cana-5709 266 9 . . PUNCT cana-5709 267 1 communications communication NOUN cana-5709 267 2 on on ADP cana-5709 267 3 applied apply VERB cana-5709 267 4 nonlinear nonlinear ADJ cana-5709 267 5 analysis analysis NOUN cana-5709 267 6 issn issn NOUN cana-5709 267 7 : : PUNCT cana-5709 267 8 1074 1074 NUM cana-5709 267 9 - - PUNCT cana-5709 267 10 133x 133x NUM cana-5709 267 11 vol vol VERB cana-5709 267 12 32 32 NUM cana-5709 267 13 no no NOUN cana-5709 267 14 . . PUNCT cana-5709 268 1 10s 10 NOUN cana-5709 268 2 ( ( PUNCT cana-5709 268 3 2025 2025 NUM cana-5709 268 4 ) ) PUNCT cana-5709 268 5 2691 2691 NUM cana-5709 268 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 268 7 for for ADP cana-5709 268 8 0 0 NUM cana-5709 268 9 ≀ ≀ NUM cana-5709 268 10 𝑑 𝑑 PROPN cana-5709 268 11 ≀ ≀ PROPN cana-5709 268 12 𝑛 𝑛 PROPN cana-5709 268 13 , , PUNCT cana-5709 268 14 𝑛 𝑛 PROPN cana-5709 268 15 = = NOUN cana-5709 268 16 1,2,3 1,2,3 NUM cana-5709 268 17 , , PUNCT cana-5709 268 18 . . PUNCT cana-5709 268 19 . . PUNCT cana-5709 269 1 . . PUNCT cana-5709 270 1 , , PUNCT cana-5709 270 2 and and CCONJ cana-5709 270 3 for for ADP cana-5709 270 4 π‘ž π‘ž PROPN cana-5709 270 5 = = SYM cana-5709 270 6 𝑑 𝑑 PROPN cana-5709 270 7 + + NOUN cana-5709 270 8 1 1 NUM cana-5709 270 9 , , PUNCT cana-5709 270 10 𝑑 𝑑 X cana-5709 270 11 = = NOUN cana-5709 270 12 0,1,2,3 0,1,2,3 NUM cana-5709 270 13 , , PUNCT cana-5709 270 14 . . PUNCT cana-5709 270 15 .. .. PUNCT cana-5709 271 1 [ [ X cana-5709 271 2 𝐾(π‘ž)]𝛼 𝐾(π‘ž)]𝛼 X cana-5709 271 3 = = PUNCT cana-5709 272 1 [ [ X cana-5709 272 2 πΎπ‘ž(𝑑 πΎπ‘ž(𝑑 X cana-5709 272 3 ; ; PUNCT cana-5709 272 4 𝛼 𝛼 X cana-5709 272 5 ) ) PUNCT cana-5709 272 6 , , PUNCT cana-5709 272 7 πΎπ‘ž(𝑑 πΎπ‘ž(𝑑 X cana-5709 272 8 ; ; PUNCT cana-5709 272 9 𝛼 𝛼 X cana-5709 272 10 ) ) PUNCT cana-5709 272 11 ] ] PUNCT cana-5709 272 12 , , PUNCT cana-5709 272 13 [ [ X cana-5709 272 14 𝐿(π‘ž 𝐿(π‘ž X cana-5709 272 15 ) ) PUNCT cana-5709 272 16 ] ] PUNCT cana-5709 273 1 𝛼 𝛼 X cana-5709 273 2 = = PUNCT cana-5709 274 1 [ [ X cana-5709 274 2 𝐿𝑝(𝑑 𝐿𝑝(𝑑 X cana-5709 274 3 ; ; PUNCT cana-5709 274 4 𝛼 𝛼 X cana-5709 274 5 ) ) PUNCT cana-5709 274 6 , , PUNCT cana-5709 274 7 𝐿𝑝(𝑑 𝐿𝑝(𝑑 PROPN cana-5709 274 8 ; ; PUNCT cana-5709 274 9 𝛼 𝛼 X cana-5709 274 10 ) ) PUNCT cana-5709 274 11 ] ] PUNCT cana-5709 275 1 [ [ X cana-5709 275 2 𝑀(π‘ž 𝑀(π‘ž NOUN cana-5709 275 3 ) ) PUNCT cana-5709 275 4 ] ] PUNCT cana-5709 275 5 𝛼 𝛼 X cana-5709 275 6 = = X cana-5709 276 1 [ [ X cana-5709 276 2 𝑀𝑝(𝑑 𝑀𝑝(𝑑 NOUN cana-5709 276 3 ; ; PUNCT cana-5709 276 4 𝛼),𝑀𝑝(𝑑 𝛼),𝑀𝑝(𝑑 ADJ cana-5709 276 5 ; ; PUNCT cana-5709 276 6 𝛼 𝛼 X cana-5709 276 7 ) ) PUNCT cana-5709 276 8 ] ] PUNCT cana-5709 276 9 . . PUNCT cana-5709 277 1 where where SCONJ cana-5709 277 2 , , PUNCT cana-5709 277 3 [ [ X cana-5709 277 4 𝐾1 𝐾1 X cana-5709 277 5 ] ] X cana-5709 277 6 𝛼 𝛼 PROPN cana-5709 277 7 = = PROPN cana-5709 277 8 β„Ž(𝑠 β„Ž(𝑠 PROPN cana-5709 277 9 βˆ’ βˆ’ PROPN cana-5709 277 10 ¡𝑑[π‘ˆπ‘(𝑑 ¡𝑑[π‘ˆπ‘(𝑑 NOUN cana-5709 277 11 ) ) PUNCT cana-5709 277 12 ] ] PUNCT cana-5709 278 1 𝛼 𝛼 X cana-5709 278 2 + + NOUN cana-5709 278 3 π‘Ÿ[π‘ˆπ‘(𝑑 π‘Ÿ[π‘ˆπ‘(𝑑 NOUN cana-5709 278 4 ) ) PUNCT cana-5709 278 5 ] ] PUNCT cana-5709 279 1 𝛼(1 𝛼(1 ADP cana-5709 279 2 βˆ’ βˆ’ NOUN cana-5709 279 3 ( ( PUNCT cana-5709 279 4 [ [ X cana-5709 279 5 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 279 6 ) ) PUNCT cana-5709 279 7 ] ] PUNCT cana-5709 279 8 𝛼 𝛼 X cana-5709 279 9 + + X cana-5709 279 10 [ [ X cana-5709 279 11 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 279 12 ) ) PUNCT cana-5709 279 13 ] ] PUNCT cana-5709 279 14 𝛼)/π‘ˆπ‘π‘šπ‘Žπ‘₯ 𝛼)/π‘ˆπ‘π‘šπ‘Žπ‘₯ NUM cana-5709 279 15 ) ) PUNCT cana-5709 280 1 βˆ’ βˆ’ ADP cana-5709 280 2 π‘˜1[𝐹𝑣(𝑑 π‘˜1[𝐹𝑣(𝑑 NUM cana-5709 280 3 ) ) PUNCT cana-5709 280 4 ] ] PUNCT cana-5709 280 5 𝛼[π‘ˆπ‘(𝑑 𝛼[π‘ˆπ‘(𝑑 NUM cana-5709 280 6 ) ) PUNCT cana-5709 280 7 ] ] PUNCT cana-5709 281 1 𝛼 𝛼 X cana-5709 281 2 ) ) PUNCT cana-5709 281 3 , , PUNCT cana-5709 281 4 [ [ X cana-5709 281 5 𝐿1 𝐿1 X cana-5709 281 6 ] ] X cana-5709 281 7 𝛼 𝛼 NOUN cana-5709 281 8 = = NOUN cana-5709 281 9 β„Ž(π‘˜1 β„Ž(π‘˜1 NOUN cana-5709 281 10 β€² β€² NUM cana-5709 282 1 [ [ X cana-5709 282 2 𝐹𝑣(𝑑 𝐹𝑣(𝑑 ADV cana-5709 282 3 βˆ’ βˆ’ PROPN cana-5709 282 4 𝜏 𝜏 NUM cana-5709 282 5 ) ) PUNCT cana-5709 282 6 ] ] PUNCT cana-5709 282 7 𝛼[π‘ˆπ‘(𝑑 𝛼[π‘ˆπ‘(𝑑 NOUN cana-5709 282 8 βˆ’ βˆ’ PROPN cana-5709 282 9 𝜏 𝜏 NOUN cana-5709 282 10 ) ) PUNCT cana-5709 282 11 ] ] PUNCT cana-5709 282 12 𝛼 𝛼 PRON cana-5709 282 13 βˆ’ βˆ’ PROPN cana-5709 282 14 ¡𝐼[𝐼𝑐(𝑑 ¡𝐼[𝐼𝑐(𝑑 NOUN cana-5709 282 15 ) ) PUNCT cana-5709 282 16 ] ] PUNCT cana-5709 283 1 𝛼 𝛼 X cana-5709 283 2 ) ) PUNCT cana-5709 283 3 , , PUNCT cana-5709 283 4 [ [ X cana-5709 283 5 𝑀1 𝑀1 X cana-5709 283 6 ] ] X cana-5709 283 7 𝛼 𝛼 PROPN cana-5709 283 8 = = PROPN cana-5709 283 9 β„Ž(𝑁¡𝑏[𝐼𝑐(𝑑 β„Ž(𝑁¡𝑏[𝐼𝑐(𝑑 PROPN cana-5709 283 10 ) ) PUNCT cana-5709 283 11 ] ] PUNCT cana-5709 284 1 𝛼 𝛼 X cana-5709 284 2 βˆ’ βˆ’ PROPN cana-5709 284 3 π‘˜1[𝐹𝑣(𝑑 π‘˜1[𝐹𝑣(𝑑 NUM cana-5709 284 4 ) ) PUNCT cana-5709 284 5 ] ] PUNCT cana-5709 284 6 𝛼[π‘ˆπ‘(𝑑 𝛼[π‘ˆπ‘(𝑑 NUM cana-5709 284 7 ) ) PUNCT cana-5709 284 8 ] ] PUNCT cana-5709 285 1 𝛼 𝛼 X cana-5709 285 2 βˆ’ βˆ’ PROPN cana-5709 285 3 ¡𝑣[𝐹𝑣(𝑑 ¡𝑣[𝐹𝑣(𝑑 NOUN cana-5709 285 4 ) ) PUNCT cana-5709 285 5 ] ] PUNCT cana-5709 286 1 𝛼 𝛼 X cana-5709 286 2 ) ) PUNCT cana-5709 286 3 . . PUNCT cana-5709 287 1 [ [ X cana-5709 287 2 𝐾2 𝐾2 X cana-5709 287 3 ] ] X cana-5709 287 4 𝛼 𝛼 X cana-5709 287 5 = = PUNCT cana-5709 287 6 β„Ž(𝑠 β„Ž(𝑠 PROPN cana-5709 287 7 βˆ’ βˆ’ PROPN cana-5709 287 8 ¡𝑑([π‘ˆπ‘(𝑑 ¡𝑑([π‘ˆπ‘(𝑑 NOUN cana-5709 287 9 ) ) PUNCT cana-5709 287 10 ] ] PUNCT cana-5709 288 1 𝛼 𝛼 X cana-5709 288 2 + + NOUN cana-5709 288 3 1/2[𝐾1 1/2[𝐾1 NUM cana-5709 288 4 ] ] X cana-5709 288 5 𝛼 𝛼 X cana-5709 288 6 ) ) PUNCT cana-5709 288 7 + + CCONJ cana-5709 288 8 π‘Ÿ([π‘ˆπ‘(𝑑 π‘Ÿ([π‘ˆπ‘(𝑑 NOUN cana-5709 288 9 ) ) PUNCT cana-5709 288 10 ] ] PUNCT cana-5709 289 1 𝛼 𝛼 X cana-5709 289 2 + + NOUN cana-5709 289 3 1/2[𝐾1 1/2[𝐾1 NUM cana-5709 289 4 ] ] X cana-5709 289 5 𝛼 𝛼 X cana-5709 289 6 ) ) PUNCT cana-5709 289 7 ( ( PUNCT cana-5709 289 8 1 1 NUM cana-5709 289 9 βˆ’ βˆ’ NOUN cana-5709 289 10 ( ( PUNCT cana-5709 289 11 ( ( PUNCT cana-5709 289 12 [ [ X cana-5709 289 13 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 289 14 ) ) PUNCT cana-5709 289 15 ] ] PUNCT cana-5709 290 1 𝛼 𝛼 X cana-5709 290 2 + + NOUN cana-5709 290 3 1/2[𝐾1 1/2[𝐾1 NUM cana-5709 290 4 ] ] X cana-5709 290 5 𝛼 𝛼 X cana-5709 290 6 ) ) PUNCT cana-5709 290 7 + + CCONJ cana-5709 290 8 ( ( PUNCT cana-5709 290 9 [ [ X cana-5709 290 10 𝐼𝑐(𝑑 𝐼𝑐(𝑑 NOUN cana-5709 290 11 ) ) PUNCT cana-5709 290 12 ] ] PUNCT cana-5709 291 1 𝛼 𝛼 X cana-5709 291 2 + + NOUN cana-5709 291 3 1/2[𝐿1 1/2[𝐿1 NUM cana-5709 291 4 ] ] SYM cana-5709 291 5 𝛼))/π‘ˆπ‘π‘šπ‘Žπ‘₯ 𝛼))/π‘ˆπ‘π‘šπ‘Žπ‘₯ NUM cana-5709 291 6 ) ) PUNCT cana-5709 291 7 βˆ’ βˆ’ PROPN cana-5709 291 8 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 291 9 ) ) PUNCT cana-5709 291 10 ] ] PUNCT cana-5709 292 1 𝛼 𝛼 X cana-5709 292 2 + + NOUN cana-5709 292 3 1/2[𝑀1 1/2[𝑀1 NUM cana-5709 292 4 ] ] SYM cana-5709 292 5 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 292 6 ) ) PUNCT cana-5709 292 7 ] ] PUNCT cana-5709 293 1 𝛼 𝛼 X cana-5709 293 2 + + NOUN cana-5709 293 3 1/2[𝐾1 1/2[𝐾1 NUM cana-5709 293 4 ] ] X cana-5709 293 5 𝛼 𝛼 NOUN cana-5709 293 6 ) ) PUNCT cana-5709 293 7 ) ) PUNCT cana-5709 293 8 , , PUNCT cana-5709 294 1 [ [ X cana-5709 294 2 𝐿2 𝐿2 X cana-5709 294 3 ] ] X cana-5709 294 4 𝛼 𝛼 NOUN cana-5709 294 5 = = PUNCT cana-5709 294 6 β„Ž(π‘˜1 β„Ž(π‘˜1 NOUN cana-5709 294 7 β€² β€² NUM cana-5709 295 1 ( ( PUNCT cana-5709 295 2 [ [ X cana-5709 295 3 𝐹𝑣(𝑑 𝐹𝑣(𝑑 ADV cana-5709 295 4 βˆ’ βˆ’ PROPN cana-5709 295 5 𝜏 𝜏 NUM cana-5709 295 6 ) ) PUNCT cana-5709 295 7 ] ] PUNCT cana-5709 296 1 𝛼 𝛼 X cana-5709 296 2 + + NOUN cana-5709 296 3 1/2[𝑀1 1/2[𝑀1 NUM cana-5709 296 4 ] ] PUNCT cana-5709 296 5 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 296 6 βˆ’ βˆ’ NOUN cana-5709 296 7 𝜏 𝜏 NOUN cana-5709 296 8 ) ) PUNCT cana-5709 296 9 ] ] PUNCT cana-5709 297 1 𝛼 𝛼 X cana-5709 297 2 + + NOUN cana-5709 297 3 1/2[𝐾1 1/2[𝐾1 NUM cana-5709 297 4 ] ] SYM cana-5709 297 5 𝛼 𝛼 NOUN cana-5709 297 6 ) ) PUNCT cana-5709 297 7 βˆ’ βˆ’ PROPN cana-5709 297 8 ¡𝐼 ¡𝐼 X cana-5709 297 9 ( ( PUNCT cana-5709 297 10 [ [ X cana-5709 297 11 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 297 12 ) ) PUNCT cana-5709 297 13 ] ] PUNCT cana-5709 298 1 𝛼 𝛼 X cana-5709 298 2 + + NOUN cana-5709 298 3 1/2[𝐿1 1/2[𝐿1 NUM cana-5709 298 4 ] ] X cana-5709 298 5 𝛼 𝛼 NOUN cana-5709 298 6 ) ) PUNCT cana-5709 298 7 ) ) PUNCT cana-5709 298 8 , , PUNCT cana-5709 299 1 [ [ X cana-5709 299 2 𝑀2 𝑀2 X cana-5709 299 3 ] ] X cana-5709 299 4 𝛼 𝛼 NOUN cana-5709 299 5 = = SYM cana-5709 299 6 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑 NOUN cana-5709 299 7 ) ) PUNCT cana-5709 299 8 ] ] PUNCT cana-5709 300 1 𝛼 𝛼 X cana-5709 300 2 + + NOUN cana-5709 300 3 1/2[𝐿1 1/2[𝐿1 NUM cana-5709 300 4 ] ] X cana-5709 300 5 𝛼 𝛼 NOUN cana-5709 300 6 ) ) PUNCT cana-5709 300 7 βˆ’ βˆ’ PROPN cana-5709 300 8 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 300 9 ) ) PUNCT cana-5709 300 10 ] ] PUNCT cana-5709 301 1 𝛼 𝛼 X cana-5709 301 2 + + NOUN cana-5709 301 3 1/2[𝑀1 1/2[𝑀1 NUM cana-5709 301 4 ] ] SYM cana-5709 301 5 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 301 6 ) ) PUNCT cana-5709 301 7 ] ] PUNCT cana-5709 302 1 𝛼 𝛼 X cana-5709 302 2 + + NOUN cana-5709 302 3 1/2[𝐾1 1/2[𝐾1 NUM cana-5709 302 4 ] ] SYM cana-5709 302 5 𝛼 𝛼 NOUN cana-5709 302 6 ) ) PUNCT cana-5709 302 7 βˆ’ βˆ’ NOUN cana-5709 302 8 ¡𝑣([𝐹𝑣(𝑑 ¡𝑣([𝐹𝑣(𝑑 NOUN cana-5709 302 9 ) ) PUNCT cana-5709 302 10 ] ] PUNCT cana-5709 303 1 𝛼 𝛼 X cana-5709 303 2 + + ADJ cana-5709 303 3 1/2[𝑀1 1/2[𝑀1 NUM cana-5709 303 4 ] ] SYM cana-5709 303 5 𝛼 𝛼 NOUN cana-5709 303 6 ) ) PUNCT cana-5709 303 7 ) ) PUNCT cana-5709 303 8 . . PUNCT cana-5709 304 1 [ [ X cana-5709 304 2 𝐾3 𝐾3 X cana-5709 304 3 ] ] X cana-5709 304 4 𝛼 𝛼 X cana-5709 304 5 = = PUNCT cana-5709 304 6 β„Ž(𝑠 β„Ž(𝑠 PROPN cana-5709 304 7 βˆ’ βˆ’ PROPN cana-5709 304 8 ¡𝑑([π‘ˆπ‘(𝑑 ¡𝑑([π‘ˆπ‘(𝑑 NOUN cana-5709 304 9 ) ) PUNCT cana-5709 304 10 ] ] PUNCT cana-5709 305 1 𝛼 𝛼 X cana-5709 306 1 + + NOUN cana-5709 306 2 3/16[𝐾1 3/16[𝐾1 NUM cana-5709 306 3 ] ] X cana-5709 306 4 𝛼 𝛼 X cana-5709 306 5 + + NOUN cana-5709 306 6 1/16[𝐾2 1/16[𝐾2 NUM cana-5709 306 7 ] ] X cana-5709 306 8 𝛼 𝛼 X cana-5709 306 9 ) ) PUNCT cana-5709 306 10 + + CCONJ cana-5709 306 11 π‘Ÿ([π‘ˆπ‘(𝑑 π‘Ÿ([π‘ˆπ‘(𝑑 NOUN cana-5709 306 12 ) ) PUNCT cana-5709 306 13 ] ] PUNCT cana-5709 307 1 𝛼 𝛼 X cana-5709 308 1 + + NOUN cana-5709 308 2 3/16[𝐾1 3/16[𝐾1 NUM cana-5709 308 3 ] ] X cana-5709 308 4 𝛼 𝛼 X cana-5709 308 5 + + NOUN cana-5709 308 6 1/16[𝐾2 1/16[𝐾2 NUM cana-5709 308 7 ] ] PUNCT cana-5709 308 8 𝛼)(1 𝛼)(1 ADP cana-5709 308 9 βˆ’ βˆ’ PROPN cana-5709 308 10 ( ( PUNCT cana-5709 308 11 ( ( PUNCT cana-5709 308 12 [ [ X cana-5709 308 13 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 308 14 ) ) PUNCT cana-5709 308 15 ] ] PUNCT cana-5709 309 1 𝛼 𝛼 X cana-5709 309 2 + + NOUN cana-5709 309 3 3/16[𝐾1 3/16[𝐾1 NUM cana-5709 309 4 ] ] X cana-5709 309 5 𝛼 𝛼 X cana-5709 309 6 + + NOUN cana-5709 309 7 1/16[𝐾2 1/16[𝐾2 NUM cana-5709 309 8 ] ] X cana-5709 309 9 𝛼 𝛼 X cana-5709 309 10 ) ) PUNCT cana-5709 309 11 + + CCONJ cana-5709 309 12 ( ( PUNCT cana-5709 309 13 [ [ X cana-5709 309 14 𝐼𝑐(𝑑 𝐼𝑐(𝑑 NOUN cana-5709 309 15 ) ) PUNCT cana-5709 309 16 ] ] PUNCT cana-5709 310 1 𝛼 𝛼 X cana-5709 310 2 + + NOUN cana-5709 310 3 3/16[𝐿1 3/16[𝐿1 NUM cana-5709 310 4 ] ] X cana-5709 310 5 𝛼 𝛼 X cana-5709 310 6 + + NOUN cana-5709 310 7 1/16[𝐿2 1/16[𝐿2 NUM cana-5709 310 8 ] ] PUNCT cana-5709 310 9 𝛼))/π‘ˆπ‘π‘šπ‘Žπ‘₯ 𝛼))/π‘ˆπ‘π‘šπ‘Žπ‘₯ NUM cana-5709 310 10 ) ) PUNCT cana-5709 310 11 βˆ’ βˆ’ PROPN cana-5709 310 12 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 310 13 ) ) PUNCT cana-5709 310 14 ] ] PUNCT cana-5709 311 1 𝛼 𝛼 X cana-5709 311 2 + + ADJ cana-5709 311 3 3/16[𝑀1 3/16[𝑀1 NUM cana-5709 311 4 ] ] X cana-5709 311 5 𝛼 𝛼 X cana-5709 311 6 + + NOUN cana-5709 311 7 1/16[𝑀2 1/16[𝑀2 NUM cana-5709 311 8 ] ] PUNCT cana-5709 311 9 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 311 10 ) ) PUNCT cana-5709 311 11 ] ] PUNCT cana-5709 312 1 𝛼 𝛼 X cana-5709 312 2 + + NOUN cana-5709 312 3 3/16[𝐾1 3/16[𝐾1 NUM cana-5709 312 4 ] ] X cana-5709 312 5 𝛼 𝛼 X cana-5709 312 6 + + NOUN cana-5709 312 7 1/16[𝐾2 1/16[𝐾2 NUM cana-5709 312 8 ] ] X cana-5709 312 9 𝛼 𝛼 NOUN cana-5709 312 10 ) ) PUNCT cana-5709 312 11 ) ) PUNCT cana-5709 312 12 , , PUNCT cana-5709 313 1 [ [ X cana-5709 313 2 𝐿3 𝐿3 X cana-5709 313 3 ] ] X cana-5709 313 4 𝛼 𝛼 X cana-5709 313 5 = = NOUN cana-5709 313 6 β„Ž(π‘˜1 β„Ž(π‘˜1 NOUN cana-5709 313 7 β€² β€² NUM cana-5709 314 1 ( ( PUNCT cana-5709 314 2 [ [ X cana-5709 314 3 𝐹𝑣(𝑑 𝐹𝑣(𝑑 ADV cana-5709 314 4 βˆ’ βˆ’ PROPN cana-5709 314 5 𝜏 𝜏 NUM cana-5709 314 6 ) ) PUNCT cana-5709 314 7 ] ] PUNCT cana-5709 315 1 𝛼 𝛼 X cana-5709 315 2 + + ADJ cana-5709 315 3 3/16[𝑀1 3/16[𝑀1 NUM cana-5709 315 4 ] ] X cana-5709 315 5 𝛼 𝛼 NOUN cana-5709 315 6 + + NOUN cana-5709 315 7 1/16[𝑀2 1/16[𝑀2 NUM cana-5709 315 8 ] ] PUNCT cana-5709 315 9 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 315 10 βˆ’ βˆ’ NOUN cana-5709 315 11 𝜏 𝜏 NOUN cana-5709 315 12 ) ) PUNCT cana-5709 315 13 ] ] PUNCT cana-5709 316 1 𝛼 𝛼 X cana-5709 316 2 + + NOUN cana-5709 316 3 3/16[𝐾1 3/16[𝐾1 NUM cana-5709 316 4 ] ] X cana-5709 316 5 𝛼 𝛼 X cana-5709 316 6 + + NOUN cana-5709 316 7 1/16[𝐾2 1/16[𝐾2 NUM cana-5709 316 8 ] ] X cana-5709 316 9 𝛼 𝛼 NOUN cana-5709 316 10 ) ) PUNCT cana-5709 316 11 βˆ’ βˆ’ PROPN cana-5709 316 12 ¡𝐼𝑐 ¡𝐼𝑐 X cana-5709 316 13 ( ( PUNCT cana-5709 316 14 [ [ X cana-5709 316 15 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 316 16 ) ) PUNCT cana-5709 316 17 ] ] PUNCT cana-5709 317 1 𝛼 𝛼 X cana-5709 317 2 + + NOUN cana-5709 317 3 3/16[𝐿1 3/16[𝐿1 NUM cana-5709 317 4 ] ] X cana-5709 317 5 𝛼 𝛼 X cana-5709 317 6 + + NOUN cana-5709 317 7 1/16[𝐿2 1/16[𝐿2 NUM cana-5709 317 8 ] ] X cana-5709 317 9 𝛼 𝛼 NOUN cana-5709 317 10 ) ) PUNCT cana-5709 317 11 ) ) PUNCT cana-5709 317 12 , , PUNCT cana-5709 318 1 [ [ X cana-5709 318 2 𝑀3]𝛼 𝑀3]𝛼 X cana-5709 318 3 = = PUNCT cana-5709 318 4 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑)]𝛼 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑)]𝛼 PROPN cana-5709 318 5 + + CCONJ cana-5709 318 6 3/16[𝐿1]𝛼 3/16[𝐿1]𝛼 NUM cana-5709 318 7 + + CCONJ cana-5709 318 8 1/16[𝐿2]𝛼 1/16[𝐿2]𝛼 NUM cana-5709 318 9 ) ) PUNCT cana-5709 318 10 βˆ’ βˆ’ NOUN cana-5709 318 11 π‘˜1([𝐹𝑣(𝑑)]𝛼 π‘˜1([𝐹𝑣(𝑑)]𝛼 PUNCT cana-5709 318 12 + + NUM cana-5709 318 13 3/16[𝑀1]𝛼 3/16[𝑀1]𝛼 NUM cana-5709 318 14 + + SYM cana-5709 318 15 1/16[𝑀2]𝛼)([π‘ˆπ‘(𝑑)]𝛼 1/16[𝑀2]𝛼)([π‘ˆπ‘(𝑑)]𝛼 NUM cana-5709 318 16 + + CCONJ cana-5709 318 17 3/16[𝐾1]𝛼 3/16[𝐾1]𝛼 NUM cana-5709 318 18 + + NUM cana-5709 318 19 1/16[𝐾2]𝛼 1/16[𝐾2]𝛼 NUM cana-5709 318 20 ) ) PUNCT cana-5709 318 21 βˆ’ βˆ’ NOUN cana-5709 318 22 ¡𝑣([𝐹𝑣(𝑑)]𝛼 ¡𝑣([𝐹𝑣(𝑑)]𝛼 X cana-5709 319 1 + + CCONJ cana-5709 319 2 3/16[𝑀1]𝛼 3/16[𝑀1]𝛼 NUM cana-5709 319 3 + + NUM cana-5709 319 4 1/16[𝑀2]𝛼 1/16[𝑀2]𝛼 NUM cana-5709 319 5 ) ) PUNCT cana-5709 319 6 ) ) PUNCT cana-5709 319 7 . . PUNCT cana-5709 320 1 [ [ X cana-5709 320 2 𝐾4 𝐾4 X cana-5709 320 3 ] ] X cana-5709 320 4 𝛼 𝛼 PROPN cana-5709 320 5 = = PUNCT cana-5709 320 6 β„Ž(𝑠 β„Ž(𝑠 PROPN cana-5709 320 7 βˆ’ βˆ’ PROPN cana-5709 320 8 ¡𝑑([π‘ˆπ‘(𝑑 ¡𝑑([π‘ˆπ‘(𝑑 NOUN cana-5709 320 9 ) ) PUNCT cana-5709 320 10 ] ] PUNCT cana-5709 321 1 𝛼 𝛼 X cana-5709 321 2 + + NOUN cana-5709 321 3 1/2[𝐾3 1/2[𝐾3 PRON cana-5709 321 4 ] ] X cana-5709 321 5 𝛼 𝛼 X cana-5709 321 6 ) ) PUNCT cana-5709 321 7 + + CCONJ cana-5709 321 8 π‘Ÿ([π‘ˆπ‘(𝑑 π‘Ÿ([π‘ˆπ‘(𝑑 NOUN cana-5709 321 9 ) ) PUNCT cana-5709 321 10 ] ] PUNCT cana-5709 322 1 𝛼 𝛼 X cana-5709 322 2 + + NOUN cana-5709 322 3 1/2[𝐾3 1/2[𝐾3 NUM cana-5709 322 4 ] ] PUNCT cana-5709 322 5 𝛼)(1 𝛼)(1 VERB cana-5709 322 6 βˆ’ βˆ’ PROPN cana-5709 322 7 ( ( PUNCT cana-5709 322 8 ( ( PUNCT cana-5709 322 9 [ [ X cana-5709 322 10 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 322 11 ) ) PUNCT cana-5709 322 12 ] ] PUNCT cana-5709 323 1 𝛼 𝛼 X cana-5709 323 2 + + NOUN cana-5709 323 3 1/2[𝐾3 1/2[𝐾3 PRON cana-5709 323 4 ] ] X cana-5709 323 5 𝛼 𝛼 X cana-5709 323 6 ) ) PUNCT cana-5709 323 7 + + CCONJ cana-5709 323 8 ( ( PUNCT cana-5709 323 9 [ [ X cana-5709 323 10 𝐼𝑐(𝑑 𝐼𝑐(𝑑 NOUN cana-5709 323 11 ) ) PUNCT cana-5709 323 12 ] ] PUNCT cana-5709 324 1 𝛼 𝛼 X cana-5709 324 2 + + NOUN cana-5709 324 3 1/2[𝐿3 1/2[𝐿3 NUM cana-5709 324 4 ] ] SYM cana-5709 324 5 𝛼))/π‘ˆπ‘π‘šπ‘Žπ‘₯ 𝛼))/π‘ˆπ‘π‘šπ‘Žπ‘₯ NOUN cana-5709 324 6 ) ) PUNCT cana-5709 324 7 βˆ’ βˆ’ PROPN cana-5709 324 8 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 324 9 ) ) PUNCT cana-5709 324 10 ] ] PUNCT cana-5709 325 1 𝛼 𝛼 X cana-5709 325 2 + + NOUN cana-5709 325 3 1/2[𝑀3 1/2[𝑀3 NUM cana-5709 325 4 ] ] SYM cana-5709 325 5 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 325 6 ) ) PUNCT cana-5709 325 7 ] ] PUNCT cana-5709 326 1 𝛼 𝛼 X cana-5709 326 2 + + NOUN cana-5709 326 3 1/2[𝐾3 1/2[𝐾3 ADJ cana-5709 326 4 ] ] X cana-5709 326 5 𝛼 𝛼 NOUN cana-5709 326 6 ) ) PUNCT cana-5709 326 7 ) ) PUNCT cana-5709 326 8 , , PUNCT cana-5709 327 1 [ [ X cana-5709 327 2 𝐿4 𝐿4 X cana-5709 327 3 ] ] X cana-5709 327 4 𝛼 𝛼 NOUN cana-5709 327 5 = = NOUN cana-5709 327 6 β„Ž(π‘˜1 β„Ž(π‘˜1 NOUN cana-5709 327 7 β€² β€² NUM cana-5709 328 1 ( ( PUNCT cana-5709 328 2 [ [ X cana-5709 328 3 𝐹𝑣(𝑑 𝐹𝑣(𝑑 ADV cana-5709 328 4 βˆ’ βˆ’ PROPN cana-5709 328 5 𝜏 𝜏 NUM cana-5709 328 6 ) ) PUNCT cana-5709 328 7 ] ] PUNCT cana-5709 329 1 𝛼 𝛼 X cana-5709 329 2 + + NOUN cana-5709 329 3 1/2[𝑀3 1/2[𝑀3 NUM cana-5709 329 4 ] ] PUNCT cana-5709 329 5 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 329 6 βˆ’ βˆ’ NOUN cana-5709 329 7 𝜏 𝜏 NOUN cana-5709 329 8 ) ) PUNCT cana-5709 329 9 ] ] PUNCT cana-5709 330 1 𝛼 𝛼 X cana-5709 330 2 + + NOUN cana-5709 330 3 1/2[𝐾3 1/2[𝐾3 PRON cana-5709 330 4 ] ] X cana-5709 330 5 𝛼 𝛼 X cana-5709 330 6 ) ) PUNCT cana-5709 330 7 βˆ’ βˆ’ PROPN cana-5709 330 8 ¡𝐼𝑐 ¡𝐼𝑐 X cana-5709 330 9 ( ( PUNCT cana-5709 330 10 [ [ X cana-5709 330 11 𝐼(𝑑 𝐼(𝑑 NUM cana-5709 330 12 ) ) PUNCT cana-5709 330 13 ] ] PUNCT cana-5709 331 1 𝛼 𝛼 X cana-5709 331 2 + + NOUN cana-5709 331 3 1/2[𝐿3 1/2[𝐿3 NUM cana-5709 331 4 ] ] SYM cana-5709 331 5 𝛼 𝛼 NOUN cana-5709 331 6 ) ) PUNCT cana-5709 331 7 ) ) PUNCT cana-5709 331 8 , , PUNCT cana-5709 332 1 [ [ X cana-5709 332 2 𝑀4 𝑀4 X cana-5709 332 3 ] ] X cana-5709 332 4 𝛼 𝛼 PROPN cana-5709 332 5 = = NOUN cana-5709 332 6 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑 NOUN cana-5709 332 7 ) ) PUNCT cana-5709 332 8 ] ] PUNCT cana-5709 333 1 𝛼 𝛼 X cana-5709 333 2 + + NOUN cana-5709 333 3 1/2[𝐿3 1/2[𝐿3 NUM cana-5709 333 4 ] ] SYM cana-5709 333 5 𝛼 𝛼 NOUN cana-5709 333 6 ) ) PUNCT cana-5709 333 7 βˆ’ βˆ’ PROPN cana-5709 333 8 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 333 9 ) ) PUNCT cana-5709 333 10 ] ] PUNCT cana-5709 334 1 𝛼 𝛼 X cana-5709 334 2 + + NOUN cana-5709 334 3 1/2[𝑀3 1/2[𝑀3 NUM cana-5709 334 4 ] ] SYM cana-5709 334 5 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 334 6 ) ) PUNCT cana-5709 334 7 ] ] PUNCT cana-5709 335 1 𝛼 𝛼 X cana-5709 335 2 + + NOUN cana-5709 335 3 1/2[𝐾3 1/2[𝐾3 PRON cana-5709 335 4 ] ] X cana-5709 335 5 𝛼 𝛼 NOUN cana-5709 335 6 ) ) PUNCT cana-5709 335 7 βˆ’ βˆ’ NOUN cana-5709 335 8 ¡𝑣([𝐹𝑣(𝑑 ¡𝑣([𝐹𝑣(𝑑 NOUN cana-5709 335 9 ) ) PUNCT cana-5709 335 10 ] ] PUNCT cana-5709 336 1 𝛼 𝛼 X cana-5709 336 2 + + NOUN cana-5709 336 3 1/2[𝑀3 1/2[𝑀3 NUM cana-5709 336 4 ] ] SYM cana-5709 336 5 𝛼 𝛼 NOUN cana-5709 336 6 ) ) PUNCT cana-5709 336 7 ) ) PUNCT cana-5709 336 8 . . PUNCT cana-5709 337 1 [ [ X cana-5709 337 2 𝐾5 𝐾5 X cana-5709 337 3 ] ] X cana-5709 337 4 𝛼 𝛼 PROPN cana-5709 337 5 = = PUNCT cana-5709 337 6 β„Ž(𝑠 β„Ž(𝑠 PROPN cana-5709 337 7 βˆ’ βˆ’ PROPN cana-5709 337 8 ¡𝑑([π‘ˆπ‘(𝑑 ¡𝑑([π‘ˆπ‘(𝑑 NOUN cana-5709 337 9 ) ) PUNCT cana-5709 337 10 ] ] PUNCT cana-5709 338 1 𝛼 𝛼 X cana-5709 338 2 βˆ’ βˆ’ PROPN cana-5709 338 3 3/16[𝐾2 3/16[𝐾2 NUM cana-5709 338 4 ] ] X cana-5709 338 5 𝛼 𝛼 NOUN cana-5709 338 6 + + NOUN cana-5709 338 7 6/16[𝐾3 6/16[𝐾3 NUM cana-5709 338 8 ] ] X cana-5709 338 9 𝛼 𝛼 X cana-5709 338 10 + + X cana-5709 338 11 9/16[𝐾4 9/16[𝐾4 NUM cana-5709 338 12 ] ] X cana-5709 338 13 𝛼 𝛼 X cana-5709 338 14 ) ) PUNCT cana-5709 338 15 + + CCONJ cana-5709 338 16 π‘Ÿ([π‘ˆπ‘(𝑑 π‘Ÿ([π‘ˆπ‘(𝑑 NOUN cana-5709 338 17 ) ) PUNCT cana-5709 338 18 ] ] PUNCT cana-5709 339 1 𝛼 𝛼 X cana-5709 339 2 βˆ’ βˆ’ PROPN cana-5709 339 3 3/16[𝐾2 3/16[𝐾2 NUM cana-5709 339 4 ] ] X cana-5709 339 5 𝛼 𝛼 NOUN cana-5709 339 6 + + NOUN cana-5709 339 7 6/16[𝐾3 6/16[𝐾3 NUM cana-5709 339 8 ] ] X cana-5709 339 9 𝛼 𝛼 X cana-5709 339 10 + + ADJ cana-5709 339 11 9/16[𝐾4 9/16[𝐾4 NUM cana-5709 339 12 ] ] PUNCT cana-5709 339 13 𝛼)(1 𝛼)(1 ADP cana-5709 339 14 βˆ’ βˆ’ PROPN cana-5709 339 15 ( ( PUNCT cana-5709 339 16 ( ( PUNCT cana-5709 339 17 [ [ X cana-5709 339 18 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 339 19 ) ) PUNCT cana-5709 339 20 ] ] PUNCT cana-5709 340 1 𝛼 𝛼 X cana-5709 340 2 βˆ’ βˆ’ PROPN cana-5709 340 3 3/16[𝐾2 3/16[𝐾2 NUM cana-5709 340 4 ] ] X cana-5709 340 5 𝛼 𝛼 NOUN cana-5709 340 6 + + NOUN cana-5709 340 7 6/16[𝐾3 6/16[𝐾3 NUM cana-5709 340 8 ] ] X cana-5709 340 9 𝛼 𝛼 X cana-5709 340 10 + + X cana-5709 340 11 9/16[𝐾4 9/16[𝐾4 NUM cana-5709 340 12 ] ] X cana-5709 340 13 𝛼 𝛼 X cana-5709 340 14 ) ) PUNCT cana-5709 340 15 + + CCONJ cana-5709 340 16 ( ( PUNCT cana-5709 340 17 [ [ X cana-5709 340 18 𝐼𝑐(𝑑 𝐼𝑐(𝑑 NOUN cana-5709 340 19 ) ) PUNCT cana-5709 340 20 ] ] PUNCT cana-5709 341 1 𝛼 𝛼 X cana-5709 341 2 βˆ’ βˆ’ PROPN cana-5709 341 3 3/16[𝐿2 3/16[𝐿2 NUM cana-5709 341 4 ] ] X cana-5709 341 5 𝛼 𝛼 X cana-5709 341 6 + + NOUN cana-5709 341 7 6/16[𝐿3 6/16[𝐿3 NUM cana-5709 341 8 ] ] SYM cana-5709 341 9 𝛼 𝛼 PROPN cana-5709 341 10 + + NOUN cana-5709 341 11 9/16[𝐿4 9/16[𝐿4 NUM cana-5709 341 12 ] ] PUNCT cana-5709 341 13 𝛼))/π‘ˆπ‘π‘šπ‘Žπ‘₯ 𝛼))/π‘ˆπ‘π‘šπ‘Žπ‘₯ NUM cana-5709 341 14 ) ) PUNCT cana-5709 341 15 βˆ’ βˆ’ PROPN cana-5709 341 16 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 341 17 ) ) PUNCT cana-5709 341 18 ] ] PUNCT cana-5709 342 1 𝛼 𝛼 X cana-5709 342 2 βˆ’ βˆ’ PROPN cana-5709 342 3 3/16[𝑀2 3/16[𝑀2 NUM cana-5709 342 4 ] ] X cana-5709 342 5 𝛼 𝛼 PROPN cana-5709 342 6 + + NOUN cana-5709 342 7 6/16[𝑀3 6/16[𝑀3 NUM cana-5709 342 8 ] ] X cana-5709 342 9 𝛼 𝛼 X cana-5709 342 10 + + SYM cana-5709 342 11 9/16[𝑀4 9/16[𝑀4 PROPN cana-5709 342 12 ] ] PUNCT cana-5709 342 13 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 342 14 ) ) PUNCT cana-5709 342 15 ] ] PUNCT cana-5709 343 1 𝛼 𝛼 X cana-5709 343 2 βˆ’ βˆ’ PROPN cana-5709 343 3 3/16[𝐾2 3/16[𝐾2 NUM cana-5709 343 4 ] ] X cana-5709 343 5 𝛼 𝛼 NOUN cana-5709 343 6 + + NOUN cana-5709 343 7 6/16[𝐾3 6/16[𝐾3 NUM cana-5709 343 8 ] ] X cana-5709 343 9 𝛼 𝛼 X cana-5709 343 10 + + X cana-5709 343 11 9/16[𝐾4 9/16[𝐾4 PROPN cana-5709 343 12 ] ] X cana-5709 343 13 𝛼 𝛼 NOUN cana-5709 343 14 ) ) PUNCT cana-5709 343 15 ) ) PUNCT cana-5709 343 16 , , PUNCT cana-5709 343 17 communications communication NOUN cana-5709 343 18 on on ADP cana-5709 343 19 applied apply VERB cana-5709 343 20 nonlinear nonlinear ADJ cana-5709 343 21 analysis analysis NOUN cana-5709 343 22 issn issn NOUN cana-5709 343 23 : : PUNCT cana-5709 343 24 1074 1074 NUM cana-5709 343 25 - - PUNCT cana-5709 343 26 133x 133x NUM cana-5709 343 27 vol vol VERB cana-5709 343 28 32 32 NUM cana-5709 343 29 no no NOUN cana-5709 343 30 . . PUNCT cana-5709 344 1 10s 10 NOUN cana-5709 344 2 ( ( PUNCT cana-5709 344 3 2025 2025 NUM cana-5709 344 4 ) ) PUNCT cana-5709 344 5 2692 2692 NUM cana-5709 344 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 345 1 [ [ X cana-5709 345 2 𝐿5 𝐿5 X cana-5709 345 3 ] ] X cana-5709 345 4 𝛼 𝛼 X cana-5709 345 5 = = NOUN cana-5709 345 6 β„Ž(π‘˜1 β„Ž(π‘˜1 NOUN cana-5709 345 7 β€² β€² NUM cana-5709 346 1 ( ( PUNCT cana-5709 346 2 [ [ X cana-5709 346 3 𝐹𝑣(𝑑 𝐹𝑣(𝑑 ADV cana-5709 346 4 βˆ’ βˆ’ PROPN cana-5709 346 5 𝜏 𝜏 NUM cana-5709 346 6 ) ) PUNCT cana-5709 346 7 ] ] PUNCT cana-5709 347 1 𝛼 𝛼 X cana-5709 347 2 βˆ’ βˆ’ PROPN cana-5709 347 3 3/16[𝑀2 3/16[𝑀2 NUM cana-5709 347 4 ] ] X cana-5709 347 5 𝛼 𝛼 PROPN cana-5709 347 6 + + NOUN cana-5709 347 7 6/16[𝑀3 6/16[𝑀3 NUM cana-5709 347 8 ] ] X cana-5709 347 9 𝛼 𝛼 X cana-5709 347 10 + + SYM cana-5709 347 11 9/16[𝑀4 9/16[𝑀4 NUM cana-5709 347 12 ] ] PUNCT cana-5709 347 13 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 347 14 βˆ’ βˆ’ NOUN cana-5709 347 15 𝜏 𝜏 NOUN cana-5709 347 16 ) ) PUNCT cana-5709 347 17 ] ] PUNCT cana-5709 348 1 𝛼 𝛼 X cana-5709 348 2 βˆ’ βˆ’ PROPN cana-5709 348 3 3/16[𝐾2 3/16[𝐾2 NUM cana-5709 348 4 ] ] X cana-5709 348 5 𝛼 𝛼 NOUN cana-5709 348 6 + + NOUN cana-5709 348 7 6/16[𝐾3 6/16[𝐾3 NUM cana-5709 348 8 ] ] X cana-5709 348 9 𝛼 𝛼 X cana-5709 348 10 + + X cana-5709 348 11 9/16[𝐾4 9/16[𝐾4 NUM cana-5709 348 12 ] ] X cana-5709 348 13 𝛼 𝛼 X cana-5709 348 14 ) ) PUNCT cana-5709 348 15 βˆ’ βˆ’ PROPN cana-5709 348 16 ¡𝐼𝑐([𝐼𝑐(𝑑 ¡𝐼𝑐([𝐼𝑐(𝑑 NOUN cana-5709 348 17 ) ) PUNCT cana-5709 348 18 ] ] PUNCT cana-5709 349 1 𝛼 𝛼 X cana-5709 349 2 βˆ’ βˆ’ PROPN cana-5709 349 3 3/16[𝐿2 3/16[𝐿2 NUM cana-5709 349 4 ] ] X cana-5709 349 5 𝛼 𝛼 X cana-5709 349 6 + + NOUN cana-5709 349 7 6/16[𝐿3 6/16[𝐿3 NUM cana-5709 349 8 ] ] SYM cana-5709 349 9 𝛼 𝛼 PROPN cana-5709 349 10 + + NOUN cana-5709 349 11 9/16[𝐿4 9/16[𝐿4 NUM cana-5709 349 12 ] ] X cana-5709 349 13 𝛼 𝛼 NOUN cana-5709 349 14 ) ) PUNCT cana-5709 349 15 ) ) PUNCT cana-5709 349 16 , , PUNCT cana-5709 350 1 [ [ X cana-5709 350 2 𝑀5 𝑀5 NOUN cana-5709 350 3 ] ] X cana-5709 350 4 𝛼 𝛼 PROPN cana-5709 350 5 = = NOUN cana-5709 350 6 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑 NOUN cana-5709 350 7 ) ) PUNCT cana-5709 350 8 ] ] PUNCT cana-5709 351 1 𝛼 𝛼 X cana-5709 351 2 βˆ’ βˆ’ PROPN cana-5709 351 3 3/16[𝐿2 3/16[𝐿2 NUM cana-5709 351 4 ] ] X cana-5709 351 5 𝛼 𝛼 X cana-5709 351 6 + + NOUN cana-5709 351 7 6/16[𝐿3 6/16[𝐿3 NUM cana-5709 351 8 ] ] SYM cana-5709 351 9 𝛼 𝛼 PROPN cana-5709 351 10 + + NOUN cana-5709 351 11 9/16[𝐿4 9/16[𝐿4 NUM cana-5709 351 12 ] ] X cana-5709 351 13 𝛼 𝛼 NOUN cana-5709 351 14 ) ) PUNCT cana-5709 351 15 βˆ’ βˆ’ PROPN cana-5709 351 16 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 351 17 ) ) PUNCT cana-5709 351 18 ] ] PUNCT cana-5709 352 1 𝛼 𝛼 X cana-5709 352 2 βˆ’ βˆ’ PROPN cana-5709 352 3 3/16[𝑀2 3/16[𝑀2 NUM cana-5709 352 4 ] ] X cana-5709 352 5 𝛼 𝛼 PROPN cana-5709 352 6 + + NOUN cana-5709 352 7 6/16[𝑀3 6/16[𝑀3 NUM cana-5709 352 8 ] ] X cana-5709 352 9 𝛼 𝛼 X cana-5709 352 10 + + SYM cana-5709 352 11 9/16[𝑀4 9/16[𝑀4 PROPN cana-5709 352 12 ] ] PUNCT cana-5709 352 13 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 352 14 ) ) PUNCT cana-5709 352 15 ] ] PUNCT cana-5709 353 1 𝛼 𝛼 X cana-5709 353 2 βˆ’ βˆ’ PROPN cana-5709 353 3 3/16[𝐾2 3/16[𝐾2 NUM cana-5709 353 4 ] ] X cana-5709 353 5 𝛼 𝛼 NOUN cana-5709 353 6 + + NOUN cana-5709 353 7 6/16[𝐾3 6/16[𝐾3 NUM cana-5709 353 8 ] ] X cana-5709 353 9 𝛼 𝛼 X cana-5709 353 10 + + X cana-5709 353 11 9/16[𝐾4 9/16[𝐾4 NUM cana-5709 353 12 ] ] X cana-5709 353 13 𝛼 𝛼 X cana-5709 353 14 ) ) PUNCT cana-5709 353 15 βˆ’ βˆ’ NOUN cana-5709 353 16 ¡𝑣([𝐹𝑣(𝑑 ¡𝑣([𝐹𝑣(𝑑 NOUN cana-5709 353 17 ) ) PUNCT cana-5709 353 18 ] ] PUNCT cana-5709 354 1 𝛼 𝛼 X cana-5709 354 2 βˆ’ βˆ’ PROPN cana-5709 354 3 3/16[𝑀2 3/16[𝑀2 NUM cana-5709 354 4 ] ] X cana-5709 354 5 𝛼 𝛼 NOUN cana-5709 354 6 + + NOUN cana-5709 354 7 6/16[𝑀3]𝛼 6/16[𝑀3]𝛼 NUM cana-5709 354 8 + + CCONJ cana-5709 354 9 9/16[𝑀4 9/16[𝑀4 NUM cana-5709 354 10 ] ] X cana-5709 354 11 𝛼 𝛼 X cana-5709 354 12 ) ) PUNCT cana-5709 354 13 ) ) PUNCT cana-5709 354 14 . . PUNCT cana-5709 355 1 [ [ X cana-5709 355 2 𝐾6 𝐾6 X cana-5709 355 3 ] ] X cana-5709 355 4 𝛼 𝛼 PROPN cana-5709 355 5 = = PUNCT cana-5709 355 6 β„Ž(𝑠 β„Ž(𝑠 PROPN cana-5709 355 7 βˆ’ βˆ’ PROPN cana-5709 355 8 ¡𝑑([π‘ˆπ‘(𝑑 ¡𝑑([π‘ˆπ‘(𝑑 NOUN cana-5709 355 9 ) ) PUNCT cana-5709 355 10 ] ] PUNCT cana-5709 356 1 𝛼 𝛼 X cana-5709 356 2 + + NOUN cana-5709 356 3 1/7[𝐾1 1/7[𝐾1 NUM cana-5709 356 4 ] ] X cana-5709 356 5 𝛼 𝛼 NOUN cana-5709 356 6 + + NOUN cana-5709 356 7 4/7[𝐾2 4/7[𝐾2 NUM cana-5709 356 8 ] ] X cana-5709 356 9 𝛼 𝛼 X cana-5709 356 10 + + NOUN cana-5709 356 11 6/7[𝐾3 6/7[𝐾3 NUM cana-5709 356 12 ] ] SYM cana-5709 356 13 𝛼 𝛼 PROPN cana-5709 356 14 βˆ’ βˆ’ PROPN cana-5709 356 15 12/7[𝐾4 12/7[𝐾4 PROPN cana-5709 356 16 ] ] X cana-5709 356 17 𝛼 𝛼 X cana-5709 356 18 + + NOUN cana-5709 356 19 8/7[𝐾5 8/7[𝐾5 NUM cana-5709 356 20 ] ] X cana-5709 356 21 𝛼 𝛼 X cana-5709 356 22 ) ) PUNCT cana-5709 356 23 + + CCONJ cana-5709 356 24 π‘Ÿ([π‘ˆπ‘(𝑑 π‘Ÿ([π‘ˆπ‘(𝑑 NOUN cana-5709 356 25 ) ) PUNCT cana-5709 356 26 ] ] PUNCT cana-5709 357 1 𝛼 𝛼 X cana-5709 357 2 + + NOUN cana-5709 357 3 1/7[𝐾1 1/7[𝐾1 NUM cana-5709 357 4 ] ] X cana-5709 357 5 𝛼 𝛼 NOUN cana-5709 357 6 + + NOUN cana-5709 357 7 4/7[𝐾2 4/7[𝐾2 NUM cana-5709 357 8 ] ] X cana-5709 357 9 𝛼 𝛼 X cana-5709 357 10 + + NOUN cana-5709 357 11 6/7[𝐾3 6/7[𝐾3 NUM cana-5709 357 12 ] ] SYM cana-5709 357 13 𝛼 𝛼 PROPN cana-5709 357 14 βˆ’ βˆ’ PROPN cana-5709 357 15 12/7[𝐾4 12/7[𝐾4 PROPN cana-5709 357 16 ] ] X cana-5709 357 17 𝛼 𝛼 X cana-5709 357 18 + + NOUN cana-5709 357 19 8/7[𝐾5 8/7[𝐾5 NUM cana-5709 357 20 ] ] X cana-5709 357 21 𝛼 𝛼 X cana-5709 357 22 ) ) PUNCT cana-5709 357 23 ( ( PUNCT cana-5709 357 24 1 1 NUM cana-5709 357 25 βˆ’ βˆ’ NOUN cana-5709 357 26 ( ( PUNCT cana-5709 357 27 ( ( PUNCT cana-5709 357 28 [ [ X cana-5709 357 29 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 357 30 ) ) PUNCT cana-5709 357 31 ] ] PUNCT cana-5709 358 1 𝛼 𝛼 X cana-5709 358 2 + + NOUN cana-5709 358 3 1/7[𝐾1 1/7[𝐾1 NUM cana-5709 358 4 ] ] X cana-5709 358 5 𝛼 𝛼 NOUN cana-5709 358 6 + + NOUN cana-5709 358 7 4/7[𝐾2 4/7[𝐾2 NUM cana-5709 358 8 ] ] X cana-5709 358 9 𝛼 𝛼 X cana-5709 358 10 + + NOUN cana-5709 358 11 6/7[𝐾3 6/7[𝐾3 NUM cana-5709 358 12 ] ] SYM cana-5709 358 13 𝛼 𝛼 PROPN cana-5709 358 14 βˆ’12/7[𝐾4 βˆ’12/7[𝐾4 PROPN cana-5709 358 15 ] ] PUNCT cana-5709 358 16 𝛼 𝛼 PROPN cana-5709 358 17 + + NOUN cana-5709 358 18 8/7[𝐾5 8/7[𝐾5 NUM cana-5709 358 19 ] ] X cana-5709 358 20 𝛼 𝛼 X cana-5709 358 21 ) ) PUNCT cana-5709 358 22 + + CCONJ cana-5709 358 23 ( ( PUNCT cana-5709 358 24 [ [ X cana-5709 358 25 𝐼𝑐(𝑑 𝐼𝑐(𝑑 NOUN cana-5709 358 26 ) ) PUNCT cana-5709 358 27 ] ] PUNCT cana-5709 359 1 𝛼 𝛼 X cana-5709 359 2 + + ADJ cana-5709 359 3 1/7[𝐿1 1/7[𝐿1 NUM cana-5709 359 4 ] ] X cana-5709 359 5 𝛼 𝛼 X cana-5709 359 6 + + NOUN cana-5709 359 7 4/7[𝐿2 4/7[𝐿2 NUM cana-5709 359 8 ] ] X cana-5709 359 9 𝛼 𝛼 X cana-5709 359 10 + + ADJ cana-5709 359 11 6/7[𝐿3 6/7[𝐿3 NUM cana-5709 359 12 ] ] SYM cana-5709 359 13 𝛼 𝛼 PROPN cana-5709 359 14 βˆ’ βˆ’ PROPN cana-5709 359 15 12/7[𝐿4 12/7[𝐿4 PROPN cana-5709 359 16 ] ] X cana-5709 359 17 𝛼 𝛼 X cana-5709 359 18 + + NOUN cana-5709 359 19 8/7[𝐿5 8/7[𝐿5 NUM cana-5709 359 20 ] ] SYM cana-5709 359 21 𝛼))/π‘ˆ 𝛼))/π‘ˆ NOUN cana-5709 359 22 π‘π‘šπ‘Žπ‘₯ π‘π‘šπ‘Žπ‘₯ NOUN cana-5709 359 23 ) ) PUNCT cana-5709 359 24 βˆ’ βˆ’ PROPN cana-5709 360 1 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 360 2 ) ) PUNCT cana-5709 360 3 ] ] PUNCT cana-5709 361 1 𝛼 𝛼 X cana-5709 361 2 + + NOUN cana-5709 361 3 1/7[𝑀1 1/7[𝑀1 NUM cana-5709 361 4 ] ] X cana-5709 361 5 𝛼 𝛼 NOUN cana-5709 361 6 + + NOUN cana-5709 361 7 4/7[𝑀2 4/7[𝑀2 NUM cana-5709 361 8 ] ] X cana-5709 361 9 𝛼 𝛼 NOUN cana-5709 361 10 + + NOUN cana-5709 361 11 6/7[𝑀3 6/7[𝑀3 NUM cana-5709 361 12 ] ] X cana-5709 361 13 𝛼 𝛼 PROPN cana-5709 361 14 βˆ’ βˆ’ PROPN cana-5709 361 15 12/7[𝑀4 12/7[𝑀4 PROPN cana-5709 361 16 ] ] X cana-5709 361 17 𝛼 𝛼 X cana-5709 362 1 + + NOUN cana-5709 362 2 8/7[𝑀5 8/7[𝑀5 NUM cana-5709 362 3 ] ] SYM cana-5709 362 4 𝛼 𝛼 X cana-5709 362 5 ) ) PUNCT cana-5709 362 6 ( ( PUNCT cana-5709 363 1 [ [ X cana-5709 363 2 π‘ˆπ‘(𝑑 π‘ˆπ‘(𝑑 NOUN cana-5709 363 3 ) ) PUNCT cana-5709 363 4 ] ] PUNCT cana-5709 364 1 𝛼 𝛼 X cana-5709 364 2 + + NOUN cana-5709 364 3 1/7[𝐾1 1/7[𝐾1 NUM cana-5709 364 4 ] ] X cana-5709 364 5 𝛼 𝛼 NOUN cana-5709 364 6 + + NOUN cana-5709 364 7 4/7[𝐾2 4/7[𝐾2 NUM cana-5709 364 8 ] ] X cana-5709 364 9 𝛼 𝛼 X cana-5709 365 1 + + NOUN cana-5709 365 2 6/7[𝐾3 6/7[𝐾3 NUM cana-5709 365 3 ] ] SYM cana-5709 365 4 𝛼 𝛼 PROPN cana-5709 365 5 βˆ’ βˆ’ PROPN cana-5709 365 6 12/7[𝐾4 12/7[𝐾4 PROPN cana-5709 365 7 ] ] X cana-5709 365 8 𝛼 𝛼 X cana-5709 365 9 + + NOUN cana-5709 365 10 8/7[𝐾5 8/7[𝐾5 NUM cana-5709 365 11 ] ] X cana-5709 365 12 𝛼 𝛼 NOUN cana-5709 365 13 ) ) PUNCT cana-5709 365 14 ) ) PUNCT cana-5709 365 15 , , PUNCT cana-5709 366 1 [ [ X cana-5709 366 2 𝐿6 𝐿6 X cana-5709 366 3 ] ] X cana-5709 366 4 𝛼 𝛼 X cana-5709 366 5 = = NOUN cana-5709 366 6 β„Ž(π‘˜1 β„Ž(π‘˜1 NOUN cana-5709 366 7 β€² β€² NUM cana-5709 367 1 ( ( PUNCT cana-5709 367 2 [ [ X cana-5709 367 3 𝐹𝑣(𝑑 𝐹𝑣(𝑑 ADV cana-5709 367 4 βˆ’ βˆ’ PROPN cana-5709 367 5 𝜏 𝜏 NUM cana-5709 367 6 ) ) PUNCT cana-5709 367 7 ] ] PUNCT cana-5709 368 1 𝛼 𝛼 X cana-5709 368 2 + + NOUN cana-5709 368 3 1/7[𝑀1 1/7[𝑀1 NUM cana-5709 368 4 ] ] X cana-5709 368 5 𝛼 𝛼 NOUN cana-5709 368 6 + + NOUN cana-5709 368 7 4/7[𝑀2 4/7[𝑀2 NUM cana-5709 368 8 ] ] X cana-5709 368 9 𝛼 𝛼 NOUN cana-5709 368 10 + + NOUN cana-5709 368 11 6/7[𝑀3 6/7[𝑀3 NUM cana-5709 368 12 ] ] X cana-5709 368 13 𝛼 𝛼 PROPN cana-5709 368 14 βˆ’ βˆ’ PROPN cana-5709 368 15 12/7[𝑀4 12/7[𝑀4 PROPN cana-5709 368 16 ] ] X cana-5709 368 17 𝛼 𝛼 X cana-5709 368 18 + + NOUN cana-5709 368 19 8/7[𝑀5 8/7[𝑀5 NUM cana-5709 368 20 ] ] PUNCT cana-5709 368 21 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 368 22 βˆ’ βˆ’ NOUN cana-5709 368 23 𝜏 𝜏 NOUN cana-5709 368 24 ) ) PUNCT cana-5709 368 25 ] ] PUNCT cana-5709 369 1 𝛼 𝛼 X cana-5709 369 2 + + NOUN cana-5709 369 3 1/7[𝐾1 1/7[𝐾1 NUM cana-5709 369 4 ] ] X cana-5709 369 5 𝛼 𝛼 NOUN cana-5709 369 6 + + NOUN cana-5709 369 7 4/7[𝐾2 4/7[𝐾2 NUM cana-5709 369 8 ] ] X cana-5709 369 9 𝛼 𝛼 X cana-5709 370 1 + + NOUN cana-5709 370 2 6/7[𝐾3 6/7[𝐾3 NUM cana-5709 370 3 ] ] SYM cana-5709 370 4 𝛼 𝛼 PROPN cana-5709 370 5 βˆ’ βˆ’ PROPN cana-5709 370 6 12/7[𝐾4]𝛼 12/7[𝐾4]𝛼 NUM cana-5709 370 7 + + CCONJ cana-5709 370 8 8/7[𝐾5 8/7[𝐾5 NUM cana-5709 370 9 ] ] X cana-5709 370 10 𝛼 𝛼 X cana-5709 370 11 ) ) PUNCT cana-5709 370 12 βˆ’ βˆ’ PROPN cana-5709 370 13 ¡𝐼𝑐 ¡𝐼𝑐 X cana-5709 370 14 ( ( PUNCT cana-5709 370 15 [ [ X cana-5709 370 16 𝐼𝑐(𝑑 𝐼𝑐(𝑑 X cana-5709 370 17 ) ) PUNCT cana-5709 370 18 ] ] PUNCT cana-5709 371 1 𝛼 𝛼 X cana-5709 371 2 + + ADJ cana-5709 371 3 1/7[𝐿1 1/7[𝐿1 NUM cana-5709 371 4 ] ] X cana-5709 371 5 𝛼 𝛼 X cana-5709 371 6 + + NOUN cana-5709 371 7 4/7[𝐿2 4/7[𝐿2 NUM cana-5709 371 8 ] ] X cana-5709 371 9 𝛼 𝛼 X cana-5709 371 10 + + ADJ cana-5709 371 11 6/7[𝐿3 6/7[𝐿3 NUM cana-5709 371 12 ] ] SYM cana-5709 371 13 𝛼 𝛼 PROPN cana-5709 371 14 βˆ’ βˆ’ PROPN cana-5709 371 15 12/7[𝐿4 12/7[𝐿4 PROPN cana-5709 371 16 ] ] X cana-5709 371 17 𝛼 𝛼 X cana-5709 372 1 + + NOUN cana-5709 372 2 8/7[𝐿5 8/7[𝐿5 NUM cana-5709 372 3 ] ] X cana-5709 372 4 𝛼 𝛼 NOUN cana-5709 372 5 ) ) PUNCT cana-5709 372 6 ) ) PUNCT cana-5709 372 7 , , PUNCT cana-5709 372 8 [ [ X cana-5709 372 9 𝑀6 𝑀6 X cana-5709 372 10 ] ] X cana-5709 372 11 𝛼 𝛼 NOUN cana-5709 372 12 = = NOUN cana-5709 372 13 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑 β„Ž(𝑁¡𝑏([𝐼𝑐(𝑑 NOUN cana-5709 372 14 ) ) PUNCT cana-5709 372 15 ] ] PUNCT cana-5709 373 1 𝛼 𝛼 X cana-5709 373 2 βˆ’ βˆ’ PROPN cana-5709 373 3 3/16[𝐿2 3/16[𝐿2 NUM cana-5709 373 4 ] ] X cana-5709 373 5 𝛼 𝛼 X cana-5709 373 6 + + NOUN cana-5709 373 7 6/16[𝐿3 6/16[𝐿3 NUM cana-5709 373 8 ] ] SYM cana-5709 373 9 𝛼 𝛼 PROPN cana-5709 373 10 + + NOUN cana-5709 373 11 9/16[𝐿4 9/16[𝐿4 NUM cana-5709 373 12 ] ] X cana-5709 373 13 𝛼 𝛼 NOUN cana-5709 373 14 ) ) PUNCT cana-5709 373 15 βˆ’ βˆ’ PROPN cana-5709 373 16 π‘˜1([𝐹𝑣(𝑑 π‘˜1([𝐹𝑣(𝑑 NOUN cana-5709 373 17 ) ) PUNCT cana-5709 373 18 ] ] PUNCT cana-5709 374 1 𝛼 𝛼 X cana-5709 374 2 + + NOUN cana-5709 374 3 1/7[𝑀1 1/7[𝑀1 NUM cana-5709 374 4 ] ] X cana-5709 374 5 𝛼 𝛼 NOUN cana-5709 374 6 + + NOUN cana-5709 374 7 4/7[𝑀2 4/7[𝑀2 NUM cana-5709 374 8 ] ] X cana-5709 374 9 𝛼 𝛼 NOUN cana-5709 374 10 + + NOUN cana-5709 374 11 6/7[𝑀3 6/7[𝑀3 NUM cana-5709 374 12 ] ] X cana-5709 374 13 𝛼 𝛼 PROPN cana-5709 374 14 βˆ’ βˆ’ PROPN cana-5709 374 15 12/7[𝑀4 12/7[𝑀4 PROPN cana-5709 374 16 ] ] X cana-5709 374 17 𝛼 𝛼 X cana-5709 374 18 + + NOUN cana-5709 374 19 8/7[𝑀5 8/7[𝑀5 NUM cana-5709 374 20 ] ] SYM cana-5709 374 21 𝛼)([π‘ˆπ‘(𝑑 𝛼)([π‘ˆπ‘(𝑑 NOUN cana-5709 374 22 ) ) PUNCT cana-5709 374 23 ] ] PUNCT cana-5709 375 1 𝛼 𝛼 X cana-5709 375 2 + + NOUN cana-5709 375 3 1/7[𝐾1 1/7[𝐾1 NUM cana-5709 375 4 ] ] X cana-5709 375 5 𝛼 𝛼 NOUN cana-5709 375 6 + + NOUN cana-5709 375 7 4/7[𝐾2 4/7[𝐾2 NUM cana-5709 375 8 ] ] X cana-5709 375 9 𝛼 𝛼 X cana-5709 375 10 + + NOUN cana-5709 375 11 6/7[𝐾3 6/7[𝐾3 NUM cana-5709 375 12 ] ] SYM cana-5709 375 13 𝛼 𝛼 PROPN cana-5709 375 14 βˆ’ βˆ’ PROPN cana-5709 375 15 12/7[𝐾4 12/7[𝐾4 PROPN cana-5709 375 16 ] ] X cana-5709 375 17 𝛼 𝛼 PROPN cana-5709 375 18 + + NOUN cana-5709 375 19 8/7[𝐾5]𝛼 8/7[𝐾5]𝛼 NUM cana-5709 375 20 ) ) PUNCT cana-5709 375 21 βˆ’ βˆ’ NOUN cana-5709 375 22 ¡𝑣([𝐹𝑣(𝑑)]𝛼 ¡𝑣([𝐹𝑣(𝑑)]𝛼 X cana-5709 376 1 + + CCONJ cana-5709 376 2 1/7[𝑀1]𝛼 1/7[𝑀1]𝛼 NUM cana-5709 376 3 + + SYM cana-5709 376 4 4/7[𝑀2 4/7[𝑀2 NUM cana-5709 376 5 ] ] X cana-5709 376 6 𝛼 𝛼 NOUN cana-5709 376 7 + + NOUN cana-5709 376 8 6/7[𝑀3 6/7[𝑀3 NUM cana-5709 376 9 ] ] X cana-5709 376 10 𝛼 𝛼 PROPN cana-5709 376 11 βˆ’ βˆ’ PROPN cana-5709 376 12 12/7[𝑀4 12/7[𝑀4 PROPN cana-5709 376 13 ] ] X cana-5709 376 14 𝛼 𝛼 X cana-5709 376 15 + + NOUN cana-5709 376 16 8/7[𝑀5 8/7[𝑀5 NUM cana-5709 376 17 ] ] SYM cana-5709 376 18 𝛼 𝛼 NOUN cana-5709 376 19 ) ) PUNCT cana-5709 376 20 ) ) PUNCT cana-5709 376 21 . . PUNCT cana-5709 377 1 communications communication NOUN cana-5709 377 2 on on ADP cana-5709 377 3 applied apply VERB cana-5709 377 4 nonlinear nonlinear ADJ cana-5709 377 5 analysis analysis NOUN cana-5709 377 6 issn issn NOUN cana-5709 377 7 : : PUNCT cana-5709 377 8 1074 1074 NUM cana-5709 377 9 - - PUNCT cana-5709 377 10 133x 133x NUM cana-5709 377 11 vol vol VERB cana-5709 377 12 32 32 NUM cana-5709 377 13 no no NOUN cana-5709 377 14 . . PUNCT cana-5709 378 1 10s 10 NOUN cana-5709 378 2 ( ( PUNCT cana-5709 378 3 2025 2025 NUM cana-5709 378 4 ) ) PUNCT cana-5709 378 5 2693 2693 NUM cana-5709 378 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 378 7 6 6 NUM cana-5709 378 8 . . NOUN cana-5709 378 9 result result NOUN cana-5709 378 10 and and CCONJ cana-5709 378 11 discussion discussion NOUN cana-5709 378 12 first first ADV cana-5709 378 13 , , PUNCT cana-5709 378 14 we we PRON cana-5709 378 15 reconstructed reconstruct VERB cana-5709 378 16 rebecca rebecca PROPN cana-5709 378 17 et et PROPN cana-5709 378 18 al al PROPN cana-5709 378 19 . . PUNCT cana-5709 378 20 ’s[4 ’s[4 PUNCT cana-5709 378 21 ] ] X cana-5709 378 22 dde dde PROPN cana-5709 378 23 model model NOUN cana-5709 378 24 of of ADP cana-5709 378 25 hiv hiv PROPN cana-5709 378 26 infection infection NOUN cana-5709 378 27 in in ADP cana-5709 378 28 cd4 cd4 PROPN cana-5709 378 29 + + PROPN cana-5709 378 30 t t NOUN cana-5709 378 31 cells cell NOUN cana-5709 378 32 , , PUNCT cana-5709 378 33 into into ADP cana-5709 378 34 a a DET cana-5709 378 35 three three NUM cana-5709 378 36 system system NOUN cana-5709 378 37 of of ADP cana-5709 378 38 linear linear PROPN cana-5709 378 39 equations equation NOUN cana-5709 378 40 . . PUNCT cana-5709 379 1 in in ADP cana-5709 379 2 order order NOUN cana-5709 379 3 to to PART cana-5709 379 4 extend extend VERB cana-5709 379 5 the the DET cana-5709 379 6 infection infection NOUN cana-5709 379 7 , , PUNCT cana-5709 379 8 we we PRON cana-5709 379 9 discover discover VERB cana-5709 379 10 a a DET cana-5709 379 11 limit limit NOUN cana-5709 379 12 on on ADP cana-5709 379 13 the the DET cana-5709 379 14 number number NOUN cana-5709 379 15 of of ADP cana-5709 379 16 viral viral ADJ cana-5709 379 17 particles particle NOUN cana-5709 379 18 released release VERB cana-5709 379 19 by by ADP cana-5709 379 20 each each DET cana-5709 379 21 infectious infectious ADJ cana-5709 379 22 cell cell NOUN cana-5709 379 23 . . PUNCT cana-5709 380 1 under under ADP cana-5709 380 2 this this DET cana-5709 380 3 constraint constraint NOUN cana-5709 380 4 , , PUNCT cana-5709 380 5 the the DET cana-5709 380 6 system system NOUN cana-5709 380 7 is be AUX cana-5709 380 8 in in ADP cana-5709 380 9 an an DET cana-5709 380 10 infected infect VERB cana-5709 380 11 steady steady ADJ cana-5709 380 12 state state NOUN cana-5709 380 13 with with ADP cana-5709 380 14 a a DET cana-5709 380 15 positive positive ADJ cana-5709 380 16 equilibrium equilibrium NOUN cana-5709 380 17 . . PUNCT cana-5709 381 1 we we PRON cana-5709 381 2 established establish VERB cana-5709 381 3 sufficient sufficient ADJ cana-5709 381 4 parameters parameter NOUN cana-5709 381 5 for for ADP cana-5709 381 6 the the DET cana-5709 381 7 steady steady ADJ cana-5709 381 8 state state NOUN cana-5709 381 9 stability stability NOUN cana-5709 381 10 of of ADP cana-5709 381 11 the the DET cana-5709 381 12 infected infected ADJ cana-5709 381 13 virus virus NOUN cana-5709 381 14 by by ADP cana-5709 381 15 employing employ VERB cana-5709 381 16 stability stability NOUN cana-5709 381 17 analysis analysis NOUN cana-5709 381 18 . . PUNCT cana-5709 382 1 numerical numerical ADJ cana-5709 382 2 results result NOUN cana-5709 382 3 demonstrated demonstrate VERB cana-5709 382 4 that that SCONJ cana-5709 382 5 the the DET cana-5709 382 6 analysis analysis NOUN cana-5709 382 7 was be AUX cana-5709 382 8 correct correct ADJ cana-5709 382 9 , , PUNCT cana-5709 382 10 and and CCONJ cana-5709 382 11 all all PRON cana-5709 382 12 of of ADP cana-5709 382 13 our our PRON cana-5709 382 14 stability stability NOUN cana-5709 382 15 conditions condition NOUN cana-5709 382 16 are be AUX cana-5709 382 17 met meet VERB cana-5709 382 18 . . PUNCT cana-5709 383 1 despite despite SCONJ cana-5709 383 2 the the DET cana-5709 383 3 fact fact NOUN cana-5709 383 4 that that SCONJ cana-5709 383 5 our our PRON cana-5709 383 6 estimation estimation NOUN cana-5709 383 7 of of ADP cana-5709 383 8 the the DET cana-5709 383 9 number number NOUN cana-5709 383 10 of of ADP cana-5709 383 11 viral viral ADJ cana-5709 383 12 particles particle NOUN cana-5709 383 13 released release VERB cana-5709 383 14 from from ADP cana-5709 383 15 each each DET cana-5709 383 16 infectious infectious ADJ cana-5709 383 17 cell cell NOUN cana-5709 383 18 is be AUX cana-5709 383 19 lower low ADJ cana-5709 383 20 than than SCONJ cana-5709 383 21 perelson perelson PROPN cana-5709 383 22 et et PROPN cana-5709 383 23 al al PROPN cana-5709 383 24 . . PROPN cana-5709 383 25 ’s ’s PART cana-5709 384 1 [ [ X cana-5709 384 2 14 14 NUM cana-5709 384 3 ] ] PUNCT cana-5709 384 4 , , PUNCT cana-5709 384 5 it it PRON cana-5709 384 6 has have VERB cana-5709 384 7 no no DET cana-5709 384 8 effect effect NOUN cana-5709 384 9 on on ADP cana-5709 384 10 the the DET cana-5709 384 11 existence existence NOUN cana-5709 384 12 or or CCONJ cana-5709 384 13 stability stability NOUN cana-5709 384 14 of of ADP cana-5709 384 15 the the DET cana-5709 384 16 infected infect VERB cana-5709 384 17 steady steady ADJ cana-5709 384 18 state state NOUN cana-5709 384 19 . . PUNCT cana-5709 385 1 there there PRON cana-5709 385 2 is be VERB cana-5709 385 3 a a DET cana-5709 385 4 solution solution NOUN cana-5709 385 5 to to ADP cana-5709 385 6 every every DET cana-5709 385 7 nonlinear nonlinear ADJ cana-5709 385 8 differential differential ADJ cana-5709 385 9 equation equation NOUN cana-5709 385 10 . . PUNCT cana-5709 386 1 analytical analytical ADJ cana-5709 386 2 solutions solution NOUN cana-5709 386 3 to to ADP cana-5709 386 4 the the DET cana-5709 386 5 majority majority NOUN cana-5709 386 6 of of ADP cana-5709 386 7 nonlinear nonlinear ADJ cana-5709 386 8 differential differential ADJ cana-5709 386 9 equations equation NOUN cana-5709 386 10 are be AUX cana-5709 386 11 extremely extremely ADV cana-5709 386 12 challenging challenging ADJ cana-5709 386 13 to to PART cana-5709 386 14 find find VERB cana-5709 386 15 . . PUNCT cana-5709 387 1 we we PRON cana-5709 387 2 must must AUX cana-5709 387 3 therefore therefore ADV cana-5709 387 4 use use VERB cana-5709 387 5 numerical numerical ADJ cana-5709 387 6 approaches approach NOUN cana-5709 387 7 . . PUNCT cana-5709 388 1 it it PRON cana-5709 388 2 is be AUX cana-5709 388 3 simple simple ADJ cana-5709 388 4 to to PART cana-5709 388 5 solve solve VERB cana-5709 388 6 all all DET cana-5709 388 7 nonlinear nonlinear ADJ cana-5709 388 8 differential differential ADJ cana-5709 388 9 equations equation NOUN cana-5709 388 10 using use VERB cana-5709 388 11 numerical numerical ADJ cana-5709 388 12 techniques technique NOUN cana-5709 388 13 . . PUNCT cana-5709 389 1 to to PART cana-5709 389 2 solve solve VERB cana-5709 389 3 the the DET cana-5709 389 4 delay delay NOUN cana-5709 389 5 differential differential NOUN cana-5709 389 6 equation equation NOUN cana-5709 389 7 numerically numerically ADV cana-5709 389 8 , , PUNCT cana-5709 389 9 runge runge NOUN cana-5709 389 10 - - PUNCT cana-5709 389 11 kutta kutta NOUN cana-5709 389 12 ’s ’s PART cana-5709 389 13 fifth fifth ADJ cana-5709 389 14 - - PUNCT cana-5709 389 15 order order NOUN cana-5709 389 16 method method NOUN cana-5709 389 17 is be AUX cana-5709 389 18 the the DET cana-5709 389 19 most most ADV cana-5709 389 20 effective effective ADJ cana-5709 389 21 approach approach NOUN cana-5709 389 22 . . PUNCT cana-5709 390 1 refrences refrence VERB cana-5709 391 1 [ [ X cana-5709 391 2 1 1 X cana-5709 391 3 ] ] X cana-5709 391 4 j.c j.c PROPN cana-5709 391 5 . . PROPN cana-5709 391 6 butcher butcher PROPN cana-5709 391 7 , , PUNCT cana-5709 391 8 a a DET cana-5709 391 9 history history NOUN cana-5709 391 10 of of ADP cana-5709 391 11 runge runge NOUN cana-5709 391 12 - - PUNCT cana-5709 391 13 kutta kutta NOUN cana-5709 391 14 methods method NOUN cana-5709 391 15 , , PUNCT cana-5709 391 16 applied apply VERB cana-5709 391 17 numerical numerical ADJ cana-5709 391 18 mathematics mathematic NOUN cana-5709 391 19 , , PUNCT cana-5709 391 20 20 20 NUM cana-5709 391 21 ( ( PUNCT cana-5709 391 22 1996 1996 NUM cana-5709 391 23 ) ) PUNCT cana-5709 391 24 , , PUNCT cana-5709 391 25 247 247 NUM cana-5709 391 26 - - SYM cana-5709 391 27 260 260 NUM cana-5709 391 28 . . PUNCT cana-5709 392 1 [ [ X cana-5709 392 2 2 2 X cana-5709 392 3 ] ] PUNCT cana-5709 392 4 capistran capistran NOUN cana-5709 392 5 , , PUNCT cana-5709 392 6 m.a m.a PROPN cana-5709 392 7 . . PROPN cana-5709 392 8 , , PUNCT cana-5709 392 9 and and CCONJ cana-5709 392 10 solis solis PROPN cana-5709 392 11 f.j f.j PROPN cana-5709 392 12 . . PROPN cana-5709 392 13 , , PUNCT cana-5709 392 14 on on ADP cana-5709 392 15 the the DET cana-5709 392 16 modeling modeling NOUN cana-5709 392 17 of of ADP cana-5709 392 18 long long ADJ cana-5709 392 19 - - PUNCT cana-5709 392 20 term term NOUN cana-5709 392 21 hiv hiv PROPN cana-5709 392 22 - - PUNCT cana-5709 392 23 i i PROPN cana-5709 392 24 infection infection NOUN cana-5709 392 25 dynamics dynamic NOUN cana-5709 392 26 , , PUNCT cana-5709 392 27 mathematical mathematical ADJ cana-5709 392 28 and and CCONJ cana-5709 392 29 computer computer NOUN cana-5709 392 30 modeling,(2009 modeling,(2009 NOUN cana-5709 392 31 ) ) PUNCT cana-5709 392 32 , , PUNCT cana-5709 392 33 777 777 NUM cana-5709 392 34 - - SYM cana-5709 392 35 782 782 NUM cana-5709 393 1 [ [ X cana-5709 393 2 3 3 NUM cana-5709 393 3 ] ] X cana-5709 393 4 s.m s.m PROPN cana-5709 393 5 . . PROPN cana-5709 393 6 ciupe ciupe PROPN cana-5709 393 7 , , PUNCT cana-5709 393 8 b.l b.l PROPN cana-5709 393 9 . . PROPN cana-5709 393 10 de de X cana-5709 393 11 bivort bivort NOUN cana-5709 393 12 and and CCONJ cana-5709 393 13 p.w p.w PROPN cana-5709 393 14 . . PROPN cana-5709 393 15 nelson nelson PROPN cana-5709 393 16 , , PUNCT cana-5709 393 17 estimates estimate NOUN cana-5709 393 18 of of ADP cana-5709 393 19 kinetics kinetic NOUN cana-5709 393 20 parameters parameter NOUN cana-5709 393 21 from from ADP cana-5709 393 22 hiv hiv PROPN cana-5709 393 23 patient patient PROPN cana-5709 393 24 data datum NOUN cana-5709 393 25 during during ADP cana-5709 393 26 primary primary ADJ cana-5709 393 27 infection infection NOUN cana-5709 393 28 through through ADP cana-5709 393 29 the the DET cana-5709 393 30 eyes eye NOUN cana-5709 393 31 of of ADP cana-5709 393 32 three three NUM cana-5709 393 33 different different ADJ cana-5709 393 34 models model NOUN cana-5709 393 35 , , PUNCT cana-5709 393 36 math math NOUN cana-5709 393 37 . . PUNCT cana-5709 394 1 biosci biosci PROPN cana-5709 394 2 . . PUNCT cana-5709 395 1 in in ADP cana-5709 395 2 press press NOUN cana-5709 395 3 . . PUNCT cana-5709 396 1 [ [ X cana-5709 396 2 4 4 X cana-5709 396 3 ] ] X cana-5709 396 4 r.v r.v PROPN cana-5709 396 5 . . PROPN cana-5709 396 6 culshaw culshaw PROPN cana-5709 396 7 , , PUNCT cana-5709 396 8 s. s. PROPN cana-5709 396 9 ruan ruan PROPN cana-5709 396 10 , , PUNCT cana-5709 396 11 a a DET cana-5709 396 12 delay delay NOUN cana-5709 396 13 differential differential ADJ cana-5709 396 14 equation equation NOUN cana-5709 396 15 model model NOUN cana-5709 396 16 of of ADP cana-5709 396 17 hiv hiv PROPN cana-5709 396 18 infection infection NOUN cana-5709 396 19 of of ADP cana-5709 396 20 cd4 cd4 PROPN cana-5709 396 21 + + PROPN cana-5709 396 22 t t PROPN cana-5709 396 23 - - PUNCT cana-5709 396 24 cells cell NOUN cana-5709 396 25 , , PUNCT cana-5709 396 26 math math NOUN cana-5709 396 27 . . PUNCT cana-5709 397 1 biosci biosci PROPN cana-5709 397 2 . . PUNCT cana-5709 398 1 165 165 NUM cana-5709 398 2 ( ( PUNCT cana-5709 398 3 2000 2000 NUM cana-5709 398 4 ) ) PUNCT cana-5709 398 5 , , PUNCT cana-5709 398 6 27 27 NUM cana-5709 398 7 - - SYM cana-5709 398 8 39 39 NUM cana-5709 398 9 . . PUNCT cana-5709 399 1 [ [ X cana-5709 399 2 5 5 X cana-5709 399 3 ] ] X cana-5709 399 4 r.v r.v PROPN cana-5709 399 5 . . PROPN cana-5709 399 6 culshaw culshaw PROPN cana-5709 399 7 , , PUNCT cana-5709 399 8 s. s. PROPN cana-5709 399 9 ruan ruan PROPN cana-5709 399 10 , , PUNCT cana-5709 399 11 g. g. PROPN cana-5709 399 12 webb webb PROPN cana-5709 399 13 , , PUNCT cana-5709 399 14 a a DET cana-5709 399 15 mathematical mathematical ADJ cana-5709 399 16 model model NOUN cana-5709 399 17 of of ADP cana-5709 399 18 cell cell NOUN cana-5709 399 19 - - PUNCT cana-5709 399 20 to to ADP cana-5709 399 21 - - PUNCT cana-5709 399 22 cell cell NOUN cana-5709 399 23 spread spread NOUN cana-5709 399 24 of of ADP cana-5709 399 25 hiv-1 hiv-1 PUNCT cana-5709 399 26 that that PRON cana-5709 399 27 includes include VERB cana-5709 399 28 a a DET cana-5709 399 29 time time NOUN cana-5709 399 30 delay delay NOUN cana-5709 399 31 , , PUNCT cana-5709 399 32 journal journal NOUN cana-5709 399 33 of of ADP cana-5709 399 34 mathematical mathematical ADJ cana-5709 399 35 biology biology NOUN cana-5709 399 36 , , PUNCT cana-5709 399 37 46 46 NUM cana-5709 399 38 ( ( PUNCT cana-5709 399 39 2003 2003 NUM cana-5709 399 40 ) ) PUNCT cana-5709 399 41 , , PUNCT cana-5709 399 42 425 425 NUM cana-5709 399 43 - - SYM cana-5709 399 44 444 444 NUM cana-5709 399 45 . . PUNCT cana-5709 400 1 [ [ X cana-5709 400 2 6 6 NUM cana-5709 400 3 ] ] X cana-5709 400 4 r.p r.p PROPN cana-5709 400 5 . . PROPN cana-5709 400 6 duffin duffin PROPN cana-5709 400 7 , , PUNCT cana-5709 400 8 r.h r.h PROPN cana-5709 400 9 . . PROPN cana-5709 400 10 tullis tullis PROPN cana-5709 400 11 , , PUNCT cana-5709 400 12 mathematical mathematical ADJ cana-5709 400 13 models model NOUN cana-5709 400 14 of of ADP cana-5709 400 15 the the DET cana-5709 400 16 complete complete ADJ cana-5709 400 17 course course NOUN cana-5709 400 18 of of ADP cana-5709 400 19 hiv hiv PROPN cana-5709 400 20 infection infection NOUN cana-5709 400 21 and and CCONJ cana-5709 400 22 aids aids PROPN cana-5709 400 23 , , PUNCT cana-5709 400 24 journal journal NOUN cana-5709 400 25 of of ADP cana-5709 400 26 theoretical theoretical ADJ cana-5709 400 27 medicine medicine NOUN cana-5709 400 28 , , PUNCT cana-5709 400 29 vol.4 vol.4 PROPN cana-5709 400 30 ( ( PUNCT cana-5709 400 31 2002 2002 NUM cana-5709 400 32 ) ) PUNCT cana-5709 400 33 , , PUNCT cana-5709 400 34 pp pp ADP cana-5709 400 35 . . PUNCT cana-5709 401 1 215 215 NUM cana-5709 401 2 - - SYM cana-5709 401 3 221 221 NUM cana-5709 401 4 . . PUNCT cana-5709 402 1 [ [ X cana-5709 402 2 7 7 X cana-5709 402 3 ] ] PUNCT cana-5709 402 4 j. j. PROPN cana-5709 402 5 hussain hussain PROPN cana-5709 402 6 , , PUNCT cana-5709 402 7 r. r. PROPN cana-5709 402 8 lalawmpuii lalawmpuii PROPN cana-5709 402 9 , , PUNCT cana-5709 402 10 modelling model VERB cana-5709 402 11 the the DET cana-5709 402 12 dynamics dynamic NOUN cana-5709 402 13 of of ADP cana-5709 402 14 cd4 cd4 PROPN cana-5709 402 15 + + PROPN cana-5709 402 16 t t PROPN cana-5709 402 17 - - PUNCT cana-5709 402 18 cells cell NOUN cana-5709 402 19 with with ADP cana-5709 402 20 and and CCONJ cana-5709 402 21 without without ADP cana-5709 402 22 delay delay NOUN cana-5709 402 23 , , PUNCT cana-5709 402 24 mizo mizo PROPN cana-5709 402 25 academy academy PROPN cana-5709 402 26 of of ADP cana-5709 402 27 sciences sciences PROPN cana-5709 402 28 , , PUNCT cana-5709 402 29 vol vol NOUN cana-5709 402 30 13 13 NUM cana-5709 402 31 , , PUNCT cana-5709 402 32 issn issn PROPN cana-5709 402 33 0975 0975 NUM cana-5709 402 34 - - SYM cana-5709 402 35 6175 6175 NUM cana-5709 402 36 . . PUNCT cana-5709 403 1 communications communication NOUN cana-5709 403 2 on on ADP cana-5709 403 3 applied apply VERB cana-5709 403 4 nonlinear nonlinear ADJ cana-5709 403 5 analysis analysis NOUN cana-5709 403 6 issn issn NOUN cana-5709 403 7 : : PUNCT cana-5709 403 8 1074 1074 NUM cana-5709 403 9 - - PUNCT cana-5709 403 10 133x 133x NUM cana-5709 403 11 vol vol VERB cana-5709 403 12 32 32 NUM cana-5709 403 13 no no NOUN cana-5709 403 14 . . PUNCT cana-5709 404 1 10s 10 NOUN cana-5709 404 2 ( ( PUNCT cana-5709 404 3 2025 2025 NUM cana-5709 404 4 ) ) PUNCT cana-5709 404 5 2694 2694 NUM cana-5709 404 6 https://internationalpubls.com https://internationalpubls.com X cana-5709 405 1 [ [ X cana-5709 405 2 8 8 NUM cana-5709 405 3 ] ] X cana-5709 405 4 a.v.m a.v.m NOUN cana-5709 405 5 . . PUNCT cana-5709 405 6 herz herz PROPN cana-5709 405 7 , , PUNCT cana-5709 405 8 s.bonhoeffer s.bonhoeffer NOUN cana-5709 405 9 , , PUNCT cana-5709 405 10 r.m.anderson r.m.anderson NOUN cana-5709 405 11 , , PUNCT cana-5709 405 12 r.m.may r.m.may PROPN cana-5709 405 13 and and CCONJ cana-5709 405 14 m.a.nowak m.a.nowak NOUN cana-5709 405 15 , , PUNCT cana-5709 405 16 viral viral ADJ cana-5709 405 17 dynamics dynamic NOUN cana-5709 405 18 in in ADP cana-5709 405 19 vivo vivo NOUN cana-5709 405 20 : : PUNCT cana-5709 405 21 limitations limitation NOUN cana-5709 405 22 on on ADP cana-5709 405 23 estimates estimate NOUN cana-5709 405 24 of of ADP cana-5709 405 25 intracellular intracellular ADJ cana-5709 405 26 delay delay NOUN cana-5709 405 27 and and CCONJ cana-5709 405 28 virus virus NOUN cana-5709 405 29 delay delay NOUN cana-5709 405 30 . . PUNCT cana-5709 406 1 in.proc.natl.acad.sci in.proc.natl.acad.sci PROPN cana-5709 406 2 ( ( PUNCT cana-5709 406 3 medical medical ADJ cana-5709 406 4 sciences science NOUN cana-5709 406 5 ) ) PUNCT cana-5709 406 6 , , PUNCT cana-5709 406 7 7247 7247 NUM cana-5709 406 8 - - SYM cana-5709 406 9 7251 7251 NUM cana-5709 406 10 , , PUNCT cana-5709 406 11 usa usa PROPN cana-5709 406 12 , , PUNCT cana-5709 406 13 1996 1996 NUM cana-5709 406 14 . . PUNCT cana-5709 407 1 [ [ X cana-5709 407 2 9 9 NUM cana-5709 407 3 ] ] SYM cana-5709 407 4 b.d.hasssard b.d.hasssard ADJ cana-5709 407 5 , , PUNCT cana-5709 407 6 n.d.kazarinoff n.d.kazarinoff NOUN cana-5709 407 7 , , PUNCT cana-5709 407 8 y.h.wan y.h.wan PROPN cana-5709 407 9 , , PUNCT cana-5709 407 10 theory theory NOUN cana-5709 407 11 and and CCONJ cana-5709 407 12 applications application NOUN cana-5709 407 13 of of ADP cana-5709 407 14 hopf hopf ADJ cana-5709 407 15 bifurcation bifurcation NOUN cana-5709 407 16 , , PUNCT cana-5709 407 17 cam cam NOUN cana-5709 407 18 bridge bridge PROPN cana-5709 407 19 university university NOUN cana-5709 407 20 , , PUNCT cana-5709 407 21 cambridge,1981 cambridge,1981 X cana-5709 407 22 . . PUNCT cana-5709 408 1 [ [ X cana-5709 408 2 10 10 NUM cana-5709 408 3 ] ] X cana-5709 408 4 p.w p.w PROPN cana-5709 408 5 . . PROPN cana-5709 408 6 nelson nelson PROPN cana-5709 408 7 , , PUNCT cana-5709 408 8 a.s a.s PROPN cana-5709 408 9 . . PROPN cana-5709 408 10 perelson perelson PROPN cana-5709 408 11 , , PUNCT cana-5709 408 12 mathematical mathematical ADJ cana-5709 408 13 analysis analysis NOUN cana-5709 408 14 of of ADP cana-5709 408 15 delay delay NOUN cana-5709 408 16 differential differential ADJ cana-5709 408 17 equation equation NOUN cana-5709 408 18 models model NOUN cana-5709 408 19 of of ADP cana-5709 408 20 hiv-1 hiv-1 ADJ cana-5709 408 21 infection infection NOUN cana-5709 408 22 , , PUNCT cana-5709 408 23 math math NOUN cana-5709 408 24 . . PUNCT cana-5709 409 1 biosci biosci PROPN cana-5709 409 2 . . PUNCT cana-5709 410 1 179 179 NUM cana-5709 410 2 ( ( PUNCT cana-5709 410 3 2002 2002 NUM cana-5709 410 4 ) ) PUNCT cana-5709 410 5 73 73 NUM cana-5709 410 6 . . PUNCT cana-5709 411 1 [ [ X cana-5709 411 2 11 11 NUM cana-5709 411 3 ] ] X cana-5709 411 4 m.a.nowak m.a.nowak NOUN cana-5709 411 5 , , PUNCT cana-5709 411 6 and and CCONJ cana-5709 411 7 r.m.may r.m.may PROPN cana-5709 411 8 , , PUNCT cana-5709 411 9 mathematical mathematical ADJ cana-5709 411 10 biology biology NOUN cana-5709 411 11 of of ADP cana-5709 411 12 hiv hiv PROPN cana-5709 411 13 infections infection NOUN cana-5709 411 14 , , PUNCT cana-5709 411 15 antigenic antigenic ADJ cana-5709 411 16 variation variation NOUN cana-5709 411 17 and and CCONJ cana-5709 411 18 diversity diversity NOUN cana-5709 411 19 threshold threshold NOUN cana-5709 411 20 , , PUNCT cana-5709 411 21 mathematical mathematical ADJ cana-5709 411 22 biosciences bioscience NOUN cana-5709 411 23 , , PUNCT cana-5709 411 24 106(1 106(1 NUM cana-5709 411 25 ) ) PUNCT cana-5709 411 26 pp.1 pp.1 NOUN cana-5709 411 27 - - PUNCT cana-5709 411 28 21,1991 21,1991 NUM cana-5709 411 29 . . PUNCT cana-5709 412 1 [ [ X cana-5709 412 2 12 12 NUM cana-5709 412 3 ] ] PUNCT cana-5709 412 4 t.muthukumar t.muthukumar NOUN cana-5709 412 5 and and CCONJ cana-5709 412 6 t.jayakuamr t.jayakuamr ADJ cana-5709 412 7 , , PUNCT cana-5709 412 8 numerical numerical ADJ cana-5709 412 9 solution solution NOUN cana-5709 412 10 for for ADP cana-5709 412 11 hybrid hybrid ADJ cana-5709 412 12 fuzzy fuzzy ADJ cana-5709 412 13 differential differential ADJ cana-5709 412 14 equations equation NOUN cana-5709 412 15 by by ADP cana-5709 412 16 fifth fifth ADJ cana-5709 412 17 order order NOUN cana-5709 412 18 runge runge NOUN cana-5709 412 19 - - PUNCT cana-5709 412 20 kutta kutta PROPN cana-5709 412 21 nystrom nystrom PROPN cana-5709 412 22 method method PROPN cana-5709 412 23 , , PUNCT cana-5709 412 24 journal journal NOUN cana-5709 412 25 of of ADP cana-5709 412 26 mathematical mathematical ADJ cana-5709 412 27 sciences science NOUN cana-5709 412 28 and and CCONJ cana-5709 412 29 modelling modelling NOUN cana-5709 412 30 , , PUNCT cana-5709 412 31 2(1 2(1 NUM cana-5709 412 32 ) ) PUNCT cana-5709 412 33 ( ( PUNCT cana-5709 412 34 2019 2019 NUM cana-5709 412 35 ) ) PUNCT cana-5709 412 36 39 39 NUM cana-5709 412 37 - - SYM cana-5709 412 38 50 50 NUM cana-5709 412 39 . . PUNCT cana-5709 413 1 [ [ X cana-5709 413 2 13 13 NUM cana-5709 413 3 ] ] SYM cana-5709 413 4 t.muthukumar t.muthukumar NUM cana-5709 413 5 , , PUNCT cana-5709 413 6 t.jayakumar t.jayakumar PROPN cana-5709 413 7 and and CCONJ cana-5709 413 8 d.prasantha d.prasantha PUNCT cana-5709 413 9 bharathi bharathi PROPN cana-5709 413 10 , , PUNCT cana-5709 413 11 numerical numerical ADJ cana-5709 413 12 solution solution NOUN cana-5709 413 13 of of ADP cana-5709 413 14 fuzzy fuzzy ADJ cana-5709 413 15 delay delay NOUN cana-5709 413 16 differential differential ADJ cana-5709 413 17 equations equation NOUN cana-5709 413 18 by by ADP cana-5709 413 19 runge runge NOUN cana-5709 413 20 - - PUNCT cana-5709 413 21 kutta kutta NOUN cana-5709 413 22 fehlberge fehlberge NOUN cana-5709 413 23 method method NOUN cana-5709 413 24 , , PUNCT cana-5709 413 25 gis gis PROPN cana-5709 413 26 science science NOUN cana-5709 413 27 journal journal PROPN cana-5709 413 28 , , PUNCT cana-5709 413 29 ( ( PUNCT cana-5709 413 30 7)(12)2020 7)(12)2020 NUM cana-5709 413 31 , , PUNCT cana-5709 413 32 507 507 NUM cana-5709 413 33 - - SYM cana-5709 413 34 516 516 NUM cana-5709 413 35 . . PUNCT cana-5709 414 1 [ [ X cana-5709 414 2 14 14 NUM cana-5709 414 3 ] ] X cana-5709 414 4 a.s a.s PROPN cana-5709 414 5 . . PROPN cana-5709 414 6 perelson perelson PROPN cana-5709 414 7 , , PUNCT cana-5709 414 8 modelling model VERB cana-5709 414 9 viral viral ADJ cana-5709 414 10 and and CCONJ cana-5709 414 11 immune immune ADJ cana-5709 414 12 system system NOUN cana-5709 414 13 dynamics dynamic NOUN cana-5709 414 14 , , PUNCT cana-5709 414 15 nature nature NOUN cana-5709 414 16 reviews review VERB cana-5709 414 17 immunology immunology NOUN cana-5709 414 18 , , PUNCT cana-5709 414 19 2 2 NUM cana-5709 414 20 ( ( PUNCT cana-5709 414 21 2002 2002 NUM cana-5709 414 22 ) ) PUNCT cana-5709 414 23 , , PUNCT cana-5709 414 24 28 28 NUM cana-5709 414 25 - - SYM cana-5709 414 26 36 36 NUM cana-5709 414 27 . . PUNCT cana-5709 415 1 [ [ X cana-5709 415 2 15 15 NUM cana-5709 415 3 ] ] X cana-5709 415 4 l.f l.f PROPN cana-5709 415 5 . . PROPN cana-5709 415 6 shampine shampine PROPN cana-5709 415 7 , , PUNCT cana-5709 415 8 numerical numerical ADJ cana-5709 415 9 solution solution NOUN cana-5709 415 10 of of ADP cana-5709 415 11 ordinary ordinary ADJ cana-5709 415 12 differential differential ADJ cana-5709 415 13 equations equation NOUN cana-5709 415 14 , , PUNCT cana-5709 415 15 chapman chapman NOUN cana-5709 415 16 and and CCONJ cana-5709 415 17 hall hall PROPN cana-5709 415 18 , , PUNCT cana-5709 415 19 new new PROPN cana-5709 415 20 york york PROPN cana-5709 415 21 , , PUNCT cana-5709 415 22 1994 1994 NUM cana-5709 415 23 . . PUNCT cana-5709 416 1 [ [ X cana-5709 416 2 16 16 NUM cana-5709 416 3 ] ] X cana-5709 416 4 l.f l.f PROPN cana-5709 416 5 . . PROPN cana-5709 416 6 shampine shampine PROPN cana-5709 416 7 , , PUNCT cana-5709 416 8 i. i. PROPN cana-5709 416 9 gladwell gladwell PROPN cana-5709 416 10 , , PUNCT cana-5709 416 11 s. s. PROPN cana-5709 416 12 thomson thomson PROPN cana-5709 416 13 , , PUNCT cana-5709 416 14 solving solve VERB cana-5709 416 15 odes ode NOUN cana-5709 416 16 with with ADP cana-5709 416 17 matlab matlab PROPN cana-5709 416 18 , , PUNCT cana-5709 416 19 cambridge cambridge PROPN cana-5709 416 20 university university PROPN cana-5709 416 21 press press NOUN cana-5709 416 22 , , PUNCT cana-5709 416 23 uk uk PROPN cana-5709 416 24 , , PUNCT cana-5709 416 25 2003 2003 NUM cana-5709 416 26 . . PUNCT cana-5709 417 1 [ [ X cana-5709 417 2 17 17 NUM cana-5709 417 3 ] ] X cana-5709 417 4 r.w r.w PROPN cana-5709 417 5 . . PROPN cana-5709 417 6 shonkwiler shonkwiler PROPN cana-5709 417 7 , , PUNCT cana-5709 417 8 j. j. PROPN cana-5709 417 9 herod herod PROPN cana-5709 417 10 , , PUNCT cana-5709 417 11 mathematical mathematical ADJ cana-5709 417 12 biology biology NOUN cana-5709 417 13 , , PUNCT cana-5709 417 14 an an DET cana-5709 417 15 introduction introduction NOUN cana-5709 417 16 with with ADP cana-5709 417 17 maple maple NOUN cana-5709 417 18 and and CCONJ cana-5709 417 19 matlab matlab PROPN cana-5709 417 20 , , PUNCT cana-5709 417 21 second second ADJ cana-5709 417 22 edition edition NOUN cana-5709 417 23 . . PUNCT cana-5709 418 1 [ [ X cana-5709 418 2 18 18 NUM cana-5709 418 3 ] ] PUNCT cana-5709 418 4 x. x. NOUN cana-5709 418 5 song song PROPN cana-5709 418 6 , , PUNCT cana-5709 418 7 s. s. PROPN cana-5709 418 8 cheng cheng PROPN cana-5709 418 9 , , PUNCT cana-5709 418 10 a a DET cana-5709 418 11 delay delay NOUN cana-5709 418 12 differential differential ADJ cana-5709 418 13 equation equation NOUN cana-5709 418 14 model model NOUN cana-5709 418 15 of of ADP cana-5709 418 16 hiv hiv PROPN cana-5709 418 17 infection infection NOUN cana-5709 418 18 of of ADP cana-5709 418 19 cd4 cd4 PROPN cana-5709 418 20 + + PROPN cana-5709 418 21 t t PROPN cana-5709 418 22 - - PUNCT cana-5709 418 23 cells cell NOUN cana-5709 418 24 , , PUNCT cana-5709 418 25 journal journal NOUN cana-5709 418 26 of of ADP cana-5709 418 27 korean korean PROPN cana-5709 418 28 mathematical mathematical ADJ cana-5709 418 29 society society NOUN cana-5709 418 30 , , PUNCT cana-5709 418 31 42 42 NUM cana-5709 418 32 ( ( PUNCT cana-5709 418 33 2005 2005 NUM cana-5709 418 34 ) ) PUNCT cana-5709 418 35 , , PUNCT cana-5709 418 36 no no INTJ cana-5709 418 37 . . NOUN cana-5709 418 38 5 5 NUM cana-5709 418 39 , , PUNCT cana-5709 418 40 pp pp ADJ cana-5709 418 41 . . PUNCT cana-5709 419 1 1071 1071 NUM cana-5709 419 2 - - SYM cana-5709 419 3 1086 1086 NUM cana-5709 419 4 . . PUNCT cana-5709 420 1 [ [ X cana-5709 420 2 19 19 NUM cana-5709 420 3 ] ] PUNCT cana-5709 420 4 l. l. PROPN cana-5709 420 5 wang wang PROPN cana-5709 420 6 , , PUNCT cana-5709 420 7 m.y m.y PROPN cana-5709 420 8 . . PROPN cana-5709 420 9 li li PROPN cana-5709 420 10 , , PUNCT cana-5709 420 11 mathematical mathematical ADJ cana-5709 420 12 analysis analysis NOUN cana-5709 420 13 of of ADP cana-5709 420 14 the the DET cana-5709 420 15 global global ADJ cana-5709 420 16 dynamics dynamic NOUN cana-5709 420 17 of of ADP cana-5709 420 18 a a DET cana-5709 420 19 model model NOUN cana-5709 420 20 for for ADP cana-5709 420 21 hiv hiv PROPN cana-5709 420 22 infection infection NOUN cana-5709 420 23 of of ADP cana-5709 420 24 cd4 cd4 PROPN cana-5709 420 25 + + PROPN cana-5709 420 26 t t PROPN cana-5709 420 27 - - PUNCT cana-5709 420 28 cells cell NOUN cana-5709 420 29 , , PUNCT cana-5709 420 30 math math NOUN cana-5709 420 31 . . PUNCT cana-5709 421 1 bio bio PROPN cana-5709 421 2 . . PROPN cana-5709 422 1 200 200 NUM cana-5709 422 2 ( ( PUNCT cana-5709 422 3 2006 2006 NUM cana-5709 422 4 ) ) PUNCT cana-5709 422 5 , , PUNCT cana-5709 422 6 44 44 NUM cana-5709 422 7 - - SYM cana-5709 422 8 57 57 NUM cana-5709 422 9 . . PUNCT cana-5709 423 1 [ [ X cana-5709 423 2 20 20 NUM cana-5709 423 3 ] ] PUNCT cana-5709 423 4 m. m. PROPN cana-5709 423 5 yan yan PROPN cana-5709 423 6 , , PUNCT cana-5709 423 7 z. z. PROPN cana-5709 423 8 xiang xiang PROPN cana-5709 423 9 , , PUNCT cana-5709 423 10 a a DET cana-5709 423 11 delay delay NOUN cana-5709 423 12 - - PUNCT cana-5709 423 13 differential differential NOUN cana-5709 423 14 equation equation NOUN cana-5709 423 15 model model NOUN cana-5709 423 16 of of ADP cana-5709 423 17 hiv hiv PROPN cana-5709 423 18 infection infection NOUN cana-5709 423 19 of of ADP cana-5709 423 20 cd4 cd4 PROPN cana-5709 423 21 + + PROPN cana-5709 423 22 t t PROPN cana-5709 423 23 - - PUNCT cana-5709 423 24 cells cell NOUN cana-5709 423 25 with with ADP cana-5709 423 26 cure cure NOUN cana-5709 423 27 rate rate NOUN cana-5709 423 28 , , PUNCT cana-5709 423 29 international international PROPN cana-5709 423 30 mathematical mathematical ADJ cana-5709 423 31 forum forum PROPN cana-5709 423 32 , , PUNCT cana-5709 423 33 vol vol NOUN cana-5709 423 34 . . PROPN cana-5709 423 35 7 7 NUM cana-5709 423 36 ( ( PUNCT cana-5709 423 37 2012 2012 NUM cana-5709 423 38 ) ) PUNCT cana-5709 423 39 , , PUNCT cana-5709 423 40 no no INTJ cana-5709 423 41 . . NOUN cana-5709 423 42 30 30 NUM cana-5709 423 43 , , PUNCT cana-5709 423 44 1475 1475 NUM cana-5709 423 45 - - SYM cana-5709 423 46 1481 1481 NUM cana-5709 423 47 . . PUNCT cana-5709 424 1 [ [ X cana-5709 424 2 21 21 NUM cana-5709 424 3 ] ] X cana-5709 424 4 s. s. PROPN cana-5709 424 5 yuzbasi yuzbasi PROPN cana-5709 424 6 , , PUNCT cana-5709 424 7 a a DET cana-5709 424 8 numerical numerical ADJ cana-5709 424 9 approach approach NOUN cana-5709 424 10 to to PART cana-5709 424 11 solve solve VERB cana-5709 424 12 the the DET cana-5709 424 13 model model NOUN cana-5709 424 14 for for ADP cana-5709 424 15 hiv hiv PROPN cana-5709 424 16 infection infection NOUN cana-5709 424 17 of of ADP cana-5709 424 18 cd4 cd4 PROPN cana-5709 424 19 + + PROPN cana-5709 424 20 t t PROPN cana-5709 424 21 - - PUNCT cana-5709 424 22 cells cell NOUN cana-5709 424 23 , , PUNCT cana-5709 424 24 applied apply VERB cana-5709 424 25 mathematical mathematical ADJ cana-5709 424 26 modelling model VERB cana-5709 424 27 36 36 NUM cana-5709 424 28 ( ( PUNCT cana-5709 424 29 2012 2012 NUM cana-5709 424 30 ) ) PUNCT cana-5709 424 31 , , PUNCT cana-5709 424 32 5876 5876 NUM cana-5709 424 33 - - SYM cana-5709 424 34 5890 5890 NUM cana-5709 424 35 . . PUNCT cana-5709 425 1 [ [ X cana-5709 425 2 22 22 NUM cana-5709 425 3 ] ] PUNCT cana-5709 425 4 x. x. NOUN cana-5709 425 5 zhou zhou PROPN cana-5709 425 6 , , PUNCT cana-5709 425 7 x. x. NOUN cana-5709 425 8 song song PROPN cana-5709 425 9 , , PUNCT cana-5709 425 10 x. x. PROPN cana-5709 425 11 shi shi PROPN cana-5709 425 12 , , PUNCT cana-5709 425 13 a a DET cana-5709 425 14 differential differential ADJ cana-5709 425 15 equation equation NOUN cana-5709 425 16 model model NOUN cana-5709 425 17 of of ADP cana-5709 425 18 hiv hiv PROPN cana-5709 425 19 infection infection NOUN cana-5709 425 20 of of ADP cana-5709 425 21 cd4 cd4 PROPN cana-5709 425 22 + + PROPN cana-5709 425 23 t t PROPN cana-5709 425 24 - - PUNCT cana-5709 425 25 cells cell NOUN cana-5709 425 26 with with ADP cana-5709 425 27 cure cure NOUN cana-5709 425 28 rate rate NOUN cana-5709 425 29 , , PUNCT cana-5709 425 30 journal journal NOUN cana-5709 425 31 of of ADP cana-5709 425 32 mathematical mathematical ADJ cana-5709 425 33 analysis analysis NOUN cana-5709 425 34 , , PUNCT cana-5709 425 35 342 342 NUM cana-5709 425 36 ( ( PUNCT cana-5709 425 37 2008 2008 NUM cana-5709 425 38 ) ) PUNCT cana-5709 425 39 , , PUNCT cana-5709 425 40 1342 1342 NUM cana-5709 425 41 - - SYM cana-5709 425 42 1355 1355 NUM cana-5709 425 43 . . PUNCT