# bib

id: mase-13502
author: Vaidya, Naveen K.; Adhikari, Dhruba R.
title: Preface: Thematic Issue in Mathematical Biology and Applied Evolutionary Equations
date: 2020-12-28
pages: 1
extension: .pdf
mime: application/pdf
words: 340
sentence: 15
flesch: 32
cache: cache/mase-13502.pdf
txt: txt/mase-13502.txt
summary:
  In this regard, the current issue contains a good mixture of research articles that include the development of theories and formulation of computational methods as well as applications of differential equations to various fields, including mathematical bi- ology. The primary focus of the AMNS conference series is to provide a platform for discussion about current advancement of interdisciplinary research on the applications of mathematics to nonlinear sciences.


id: mase-10267
author: Lei, Jinzhi
date: 2020-02-29
pages: 6
extension: .pdf
mime: application/pdf
words: 3398
sentence: 141
flesch: 40
cache: cache/mase-10267.pdf
txt: txt/mase-10267.txt
title:
  Viewpoints on modelling: Comments on "Achilles and the tortoise: Some caveats to mathematical modelling in biology"

summary:
  In a recent opinion paper published in the journal Progress in Biology and Molecular Biology [1], Dr. S. F. Gilbert raised five caveats for mathematical models in biology, and they are 1) Mathematical models are limited by the science known at the time. To better understand the gap between mathematical models and the real world, we need to look back to the first point about the limitation of mathematical model: mathematical models are limited by our understanding of the science known at the time.


id: mase-10874
author: Boada Velazco, Angel; Corbino, Johnny; Castillo, Jose
title: High order mimetic difference simulation of unsaturated flow using Richards equation
date: 2020-12-28
pages: 9
extension: .pdf
mime: application/pdf
words: 3372
sentence: 176
flesch: 52
cache: cache/mase-10874.pdf
txt: txt/mase-10874.txt
summary:
  In Section 3, we give a brief description of mimetic operators and staggered grids. Mimetic operators The gradient (∇) and divergence (∇·) are vector calculus operators that perform linear transforma- tions (differentiation), and as such, they have matrix representation.


id: mase-14496
author: Mukherjee, Debasis
date: 2022-02-06
pages: 10
extension: .pdf
mime: application/pdf
words: 4435
sentence: 274
flesch: 67
cache: cache/mase-14496.pdf
txt: txt/mase-14496.txt
title:
  Dynamics of discrete predator- prey system with fear effect and density dependent birth rate of the prey species

summary:
  So chaos control becomes an interesting topic of research in discrete dynamical system. Sometimes bifurcation and chaotic behaviour are really undesirable phenomena in discrete dynamical systems, because there may be an extinction of population due to chaos.


id: mase-10794
author: Wu, Yinshu; Huang, Wenzhang
title: Global Stability of a Predator-Prey Model with Ivlev-Type Functional Response
date: 2020-09-30
pages: 12
extension: .pdf
mime: application/pdf
words: 4390
sentence: 327
flesch: 81
cache: cache/mase-10794.pdf
txt: txt/mase-10794.txt
summary:
  ex(1 −e−x)2 = ex − (1 + x) ex + e−x − 2 , a straight forward calculation yields that ζ′′(x) = (ex − 1)(ex + e−x − 2) − (ex − 1 + 2x ∞∑ k=1 x2k−1 (2k − 1)!


id: mase-14031
author: Griette, Quentin ; Demongeot, Jacques ; Magal, Pierre
title: A robust phenomenological approach to investigate COVID-19 data for France
date: 2021-07-10
pages: 12
extension: .pdf
mime: application/pdf
words: 4751
sentence: 272
flesch: 60
cache: cache/mase-14031.pdf
txt: txt/mase-14031.txt
summary:
  The aim of this article is to propose a new approach to compare epidemic models with data from reported cumulative cases. SI epidemic model compared to the French data.


id: mase-11101
author: Deng, Bo
title: An empirical forecasting method for epidemic outbreaks with application to Covid-19
date: 2020-12-24
pages: 9
extension: .pdf
mime: application/pdf
words: 4971
sentence: 235
flesch: 63
cache: cache/mase-11101.pdf
txt: txt/mase-11101.txt
summary:
  Covid-19, logistic model, forecasting, gradient search. It is an iterative process to find possible parameter values for epidemic models to best fit real data.


id: mase-10852
author: Hull-Nye, Dylan; Malik, Bhawna; Keshavamurthy, Ravikiran; Schwartz, Elissa J.
title: Transient dynamics of the renal disease epidemic among HIV-infected individuals
date: 2020-12-24
pages: 10
extension: .pdf
mime: application/pdf
words: 4684
sentence: 305
flesch: 69
cache: cache/mase-10852.pdf
txt: txt/mase-10852.txt
summary:
  [20] J. Prakash, M. Iqbal, P. S. Patel, S. Prakash, S. Sundar, U. Singh, Outcome of HIV related kidney diseases treated with combined antiretroviral therapy (cART). J. AIDS Clin.


id: mase-13511
author: Karki, Ramesh
title: On approximating initial data in some linear evolutionary equations involving fraction Laplacian
date: 2022-01-19
pages: 11
extension: .pdf
mime: application/pdf
words: 4689
sentence: 305
flesch: 79
cache: cache/mase-13511.pdf
txt: txt/mase-13511.txt
summary:
  ,m. Also ln k ≤ k for all k = 1, 2, 3, . . . ,n. Using the method of the proof of Lemma 4.2, we get |ck − c̄k| ≤ S(t1)2ke−t 2 n−k+1, k = 1, 2, 3, . .


id: mase-11093
author: Nahirniak, Myles; Cojocaru, Monica; Migot, Tangi
title: A leader-followers game of emergency preparedness for adverse events
date: 2021-01-22
pages: 12
extension: .pdf
mime: application/pdf
words: 5368
sentence: 266
flesch: 60
cache: cache/mase-11093.pdf
txt: txt/mase-11093.txt
summary:
  Here, when losses are the same between zones (Figure 2), individuals in the zone with higher supply cost will not supply in advance at all; on the other hand, when costs are the same but losses differ (Figure 3) then both groups will supply in advance in some measure. Second, we differentiate the zones by assuming different probabilities of running out of distributed supplies and that costs of acquiring supplies may be reduced (by incentives) to nudge individuals to consider supplies in advance, rather than last minute.


id: mase-14018
author: Buhat, Christian Alvin; Villamin, Jerson Ken; Cuaresma, Genaro
title: Application of ant colony optimization metaheuristic on set covering problems
date: 2022-01-20
pages: 12
extension: .pdf
mime: application/pdf
words: 4870
sentence: 214
flesch: 61
cache: cache/mase-14018.pdf
txt: txt/mase-14018.txt
summary:
  CUARESMA Program Results After 1000 iterations/ants, ACO on SCP Program determined a near-optimal solution of 7 for the UPLB Math Building (5 for the first floor, 2 for the second floor). Old Math Building 1st (a) and 2nd (b) Floor Plan with Optimal Wi-Fi Placement Comparison to Dynamic Programming Using Linear Program Solver (LiPS), a software used on solving linear, integer and goal programming problems, results of ACO on SCP Program have been compared to that of LiPS to determine how their results vary.


id: mase-13393
author: Ghimire, Srijana; Wang, Xiang-Sheng
title: Traveling waves in cooperative predation: relaxation of sublinearity
date: 2021-02-01
pages: 10
extension: .pdf
mime: application/pdf
words: 5077
sentence: 360
flesch: 76
cache: cache/mase-13393.pdf
txt: txt/mase-13393.txt
summary:
  − u − ε0 for all ξ > ξ0. In this paper, we investigate traveling wave solutions of a diffusive predator-prey model which takes into consideration hunting cooperation.


id: mase-10221
author: Zhang, Wenjing; Frascoli, Federico; Heffernan, Jane
title: Analysis of solutions and disease progressions for a within-host Tuberculosis model
date: 2020-03-07
pages: 11
extension: .pdf
mime: application/pdf
words: 4671
sentence: 328
flesch: 74
cache: cache/mase-10221.pdf
txt: txt/mase-10221.txt
summary:
  Due to the positiveness, we have d dt (Mu + Mi) < Further, Mi = 0 induces that f4(Mu = M̄u(B), Mi = 0, B, T̄(B) = 0) = sT 6= 0.


id: mase-10876
author: Buhat, Christian Alvin; Villanueva, Steven Kyle
date: 2020-12-30
pages: 17
extension: .pdf
mime: application/pdf
words: 5965
sentence: 300
flesch: 50
cache: cache/mase-10876.pdf
txt: txt/mase-10876.txt
title:
  Determining the effectiveness of practicing non-pharmaceutical interventions in improving virus control in a pandemic using agent-based modelling

summary:
  This leads to delays in providing medical assistance to infected agents and further infections due to their unnecessary movements. The Effects of Quarantine Types on Different Simulation Results quarantine deceased % change max infected % change ticks taken % change none (100%) 263.2618 - 60.562 - 44.5142 - general (50%) 179.8694 -31.677


id: mase-10828
author: Xu, Jin
title: Global dynamics of a two-strain HIV infection model with intracellular delay
date: 2020-09-30
pages: 13
extension: .pdf
mime: application/pdf
words: 5627
sentence: 383
flesch: 73
cache: cache/mase-10828.pdf
txt: txt/mase-10828.txt
summary:
  − c2V2(t), (1.3) 238 J. XU 1 − Infected cells that can Free subtype-1 virus Infected cells by subtype-1 produce subtype-1 Uninfected cells d Free subtype-2 virus Infected cells by subtype-2 Infected cells that can produce subtype-21 − Figure 1. (3.3) 1 − Infected cells that can Free subtype-1 virus Infected cells by subtype-1 produce subtype-1 Uninfected cells d Free subtype-2 virus Infected cells by subtype-2 Infected cells that can produce subtype-21 − Burst size Basic reproduction number= ⋅ ⋅ Figure 2.


id: mase-13822
author: Jiang, Cuicui; Kong, Huan; Zhang, Guohong; Wang, Kaifa
title: Global properties of a virus dynamics model with self-proliferation of CTLs
date: 2021-05-24
pages: 11
extension: .pdf
mime: application/pdf
words: 5517
sentence: 328
flesch: 74
cache: cache/mase-13822.pdf
txt: txt/mase-13822.txt
summary:
  (ii) When r > d3, the eigenvalue λ2 = r − d3 > 0. Clearly, λ1 = r − d3 + cy1 = r − d3 + cd1µ(R0−1) βk is an eigenvalue at E1 of system (1.2), and the real parts of H1(λ) are negative according to Routh-Hurwitz criterion.


id: mase-10745
author: Maji, Chandan; Mukherjee, Debasis
date: 2020-09-30
pages: 17
extension: .pdf
mime: application/pdf
words: 6513
sentence: 453
flesch: 69
cache: cache/mase-10745.pdf
txt: txt/mase-10745.txt
title:
  Dynamical analysis of a fractional order model incorporating fear in the disease transmission rate of COVID-19

summary:
  In this section we shall discuss about existence, uniqueness, non-negativity and boundedness of the solutions for fractional order system (2.3). So application of Lemma 5 and Corollary 6 in [9] yields V (t) ≤ k(b + λ)2 4bλ ,t →∞. Therefore, all solution of fractional order system (2.3) which are initiating in R3+ will enter the region Π = {(S,E,I) ∈ R3


id: mase-13889
author: Webb, Glenn
title: A COVID-19 epidemic model predicting the effectiveness of vaccination
date: 2021-05-14
pages: 15
extension: .pdf
mime: application/pdf
words: 6639
sentence: 314
flesch: 67
cache: cache/mase-13889.pdf
txt: txt/mase-13889.txt
summary:
  satisfies, until the last day of reported cases data, τ(t,S(t),I(t),R(t)) Similar methods have been used in [9], [16], [17], [28], [29] to relate reported cases data to model dynamics.


id: mase-10857
author: Hurtado, Paul; Richards, Cameron
date: 2020-12-29
pages: 13
extension: .pdf
mime: application/pdf
words: 7083
sentence: 419
flesch: 62
cache: cache/mase-10857.pdf
txt: txt/mase-10857.txt
title:
  A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions

summary:
  These include ODE models with no explicit delays, DDE models, and distributed delay models in the form of integro-differential equations. In closing, we hope this GLCT-based procedure for the derivation of new ODE models – that approximate or generalize existing models – proves to be helpful to modelers in their efforts to build better models, to check the consequences of certain simplifying assumptions, and to gain better intuition for how underlying assumptions are reflected in the structure of ODE model equations.


id: mase-10847
author: Pantha, Buddhi; Joshi, Hem; Vaidya, Naveen
title: Controlling rabies epidemics in Nepal with limited resources: optimal control theory approach
date: 2020-12-10
pages: 18
extension: .pdf
mime: application/pdf
words: 8287
sentence: 399
flesch: 57
cache: cache/mase-10847.pdf
txt: txt/mase-10847.txt
summary:
  The rabies prevalence among (a) dog population, (b) jackal population, (c) number of human rabies cases (d) optimal dog vaccination profile, u2, and (e) optimal dog culling profile, u3, in the control program with dog vaccination and dog culling combined. dog vaccination and dog culling (u2 = 0.5,u3 = 0.22), the prevalence of rabies in both dog and jackal populations as well as the number of human rabies cases approach to zero as early as in 3 years, while the long term prevalence remains 0.2543% and 0.2162%, respectively, in the absence of the program (u2 = 0,u3 = 0). Therefore, dog vaccination and dog culling are the most effective measures to prevent and control rabies epidemics in Nepal.


id: mase-10508
author: Alavinejad, Mahnaz; Sadiku, Jemisa ; Wu, Jianhong
title: Modeling the impact of host resistance on structured tick population dynamics
date: 2020-03-31
pages: 20
extension: .pdf
mime: application/pdf
words: 8023
sentence: 488
flesch: 72
cache: cache/mase-10508.pdf
txt: txt/mase-10508.txt
summary:
  We also assume the hosts with no resistance develop resistance to ticks at a rate, denoted by κ, that depends on the tick densities, tick attachment rates and the immune system response. 68 M. ALAVINEJAD, J. SADIKU, AND J. WU Table 1. Larvae and nymph feed on small rodents such as mice while adult ticks are more selective when it comes to their host since their body is larger compared to larvae and nymph and therefore the host must be a large mammal such as a deer.


id: mase-14233
author: Pérez, Ángel G. C.; Oluyori, David A.
title: An extended SEIARD model for COVID-19 vaccination in Mexico: analysis and forecast
date: 2021-11-10
pages: 17
extension: .pdf
mime: application/pdf
words: 8653
sentence: 398
flesch: 59
cache: cache/mase-14233.pdf
txt: txt/mase-14233.txt
summary:
  [17] v Vaccination rate Variable Assumed θ Application rate of second doses 1/70 day−1 Assumed η1 Vaccine efficacy rate after one dose 0.463 We used the daily data on COVID-19 vaccinations in Mexico obtained from [24] to estimate the value of the vaccination rate v over nine different date ranges, as shown in Table 2.


id: mase-11137
author: Lequyer, Jason; Cojocaru, Monica-Gabriela
title: The replicator dynamics of generalized Nash games
date: 2021-05-18
pages: 15
extension: .pdf
mime: application/pdf
words: 8570
sentence: 525
flesch: 74
cache: cache/mase-11137.pdf
txt: txt/mase-11137.txt
summary:
  λmxm, ∑ λi = 1, λi ∈ R+, xi ∈ K}, aff(K) = {y ∈ Rn : y = λ1x1 + . . . we have that 〈F(x∗),y −x∗〉≥ 0, ∀y ∈ K, and the converse is also true.


id: mase-14147
author: Culp, Jordan Michael
title: Cluster solutions in networks of weakly coupled oscillators on a 2D square torus
date: 2021-09-19
pages: 25
extension: .pdf
mime: application/pdf
words: 9962
sentence: 524
flesch: 70
cache: cache/mase-14147.pdf
txt: txt/mase-14147.txt
summary:
  We consider a model for an N × N lattice network of weakly coupled neural oscillators with periodic boundary conditions (2D square torus), where the coupling between neurons is assumed to be within a von Neumann neighborhood of size r, denoted as von Neumann r-neighborhood. Using the phase model reduction technique, we study the existence of cluster solutions with constant phase differences (Ψh, Ψv) between adjacent oscillators along the horizontal and vertical directions in our network, where Ψh and Ψv are not necessarily to be identical.


id: mase-13569
author: Bolohan, Noah; LeBlanc, Victor; Lutscher, Frithjof
title: Seasonal dynamics of a generalist and a specialist predator on a single prey
date: 2021-04-16
pages: 20
extension: .pdf
mime: application/pdf
words: 10351
sentence: 540
flesch: 64
cache: cache/mase-13569.pdf
txt: txt/mase-13569.txt
summary:
  In particular, the predator can drive prey to extinction, there can be coexisting stable steady states, and there can be large-amplitude limit cycles coexisting with a stable steady state. We now come to the question of lynx invasion into the hare-owl system.


id: mase-10739
author: Wang, Yang; Zou, Xingfu
title: On mechanisms of trophic cascade caused by anti-predation response in food chain systems
date: 2020-06-18
pages: 27
extension: .pdf
mime: application/pdf
words: 10293
sentence: 528
flesch: 72
cache: cache/mase-10739.pdf
txt: txt/mase-10739.txt
summary:
  So in this model, we consider both the complex multi-trophic predator-prey structure and the trade-off from anti-predation response. We also discuss some possible future projects along this direction of anti-predation response in predator-prey interactions.


id: mase-10855
author: Arora, Anudeep Kumar; Roudenko, Svetlana ; Yang, Kai
title: On the focusing generalized Hartree equation
date: 2020-12-16
pages: 20
extension: .pdf
mime: application/pdf
words: 10233
sentence: 609
flesch: 76
cache: cache/mase-10855.pdf
txt: txt/mase-10855.txt
summary:
  [48] F. Merle and P. Raphaël, Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation, Comm. In [66] the dynamics of stable blow-up is investigated (including rates and profiles) for the gHartree equation in the L2-critical and supercritical cases, and it was compared with the known stable blow-up dynamics of the (local) nonlinear Schrödinger equation.


id: mase-10842
author: Bolger, Tedra; Eastman, Brydon; Hill, Madeleine; Wolkowicz, Gail
title: A Predator-Prey model in the chemostat with Holling Type II response function
date: 2020-12-22
pages: 22
extension: .pdf
mime: application/pdf
words: 10820
sentence: 721
flesch: 74
cache: cache/mase-10842.pdf
txt: txt/mase-10842.txt
summary:
  These results are consistent with the dynamics of the analogous classical predator-prey model with Monod predator response function, in whichthe resource and how the prey grows based on the amount of resource available is not modelled, but instead the prey is assumed to grow logistically in the absence of the predator population. [25] R. E. Kooij and A. Zegeling, A predator–prey model with Ivlev’s functional response, J. Math.


id: mase-11087
author: Carraro, Thomas; Wetterauer, Sven E.; Ponce Bobadilla, Ana Victoria; Trucu, Dumitru
title: A level-set approach for a multi-scale cancer invasion model
date: 2021-03-15
pages: 23
extension: .pdf
mime: application/pdf
words: 11684
sentence: 580
flesch: 57
cache: cache/mase-11087.pdf
txt: txt/mase-11087.txt
summary:
  The rate of cancer cells invasion into the surrounding tissues is therefore driven by the velocity of the interface that depends on the boundary MDE micro-dynamics microscopic enzyme dynamics. [7] V. Andasari, A. Gerisch, G. Lolas, A. South and M. A. J. Chaplain, Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation, J. Math.


id: mase-14625
author: Fosu, Gabriel Obed; Opong, Joseph M.; Owusu, Bright E.; Naandam, Samuel M.
title: Modeling road surface potholes within the macroscopic flow framework
date: 2022-05-15
pages: 13
extension: .pdf
mime: application/pdf
words: 5313
sentence: 303
flesch: 67
cache: cache/mase-14625.pdf
txt: txt/mase-14625.txt
summary:
  Conclusion This study applies mathematical models to describe road surface potholes within the macroscopic flow framework. 2. Second-Order Pothole Model The two main branches of macroscopic traffic models are first-order and second-order classes of models.


id: mase-15074
author: Li, Yan; Huang, Qihua
date: 2022-09-30
pages: 10
extension: .pdf
mime: application/pdf
words: 3675
sentence: 218
flesch: 77
cache: cache/mase-15074.pdf
txt: txt/mase-15074.txt
title:
  The existence and uniqueness of solutions of a nonlinear toxin-dependent size-structured population model

summary:
  In terms of the fact that in a population, individuals of different sizes may have different sensitivities to toxins, Huang and Wang [8] developed a size-structured population model for a population living in an aquatic polluted ecosystem, which is given by the following system of nonlinear first-order hyperbolic equations:  ut + (g(x,P(t))u)x + µ(x,P(t),v(x,t))u = 0, x ∈ (xmin,xmax), t > 0, vt + g(x,P(t))vx + σ(x,t)v −a(x,t)E(t) = 0, x ∈ (xmin,xmax), t > 0, g(xmin,P(t))u(xmin, t) = ∫ xmax xmin β(x,P(t),v(x,t))u(x,t)dx, t > 0, v(xmin, t) = 0, t > 0, u(x, 0) = u0(x), x ∈ (xmin,xmax), v(x, 0) = v0(x), x ∈ (xmin,xmax) (1.1) where u(x,t) represents the density of individuals of size x at time t; P(t) = ∫xmax xmin u(x,t)dx is the total population biomass at time t, where xmin and xmax denote the minimize size and the maximum size of the population, respectively; v(x,t) denotes the size-dependent body burden — concentration of toxin per unit population biomass. 190 https://ojs.lib.uwo.ca/mase https://dx.doi.org/https://doi.org/10.5206/mase/15074 THE EXISTENCE AND UNIQUENESS OF SOLUTIONS 191 µ(x,P(t),v(x,t)) denotes the mortality rate of an individual of size x which depend on the total pop- ulation biomass and the body burden.


id: mase-14626
author: Fosu, Gabriel Obed; Adu-Sackey, Albert; Ackora-Prah, Joseph
title: Macroscopic Analysis Of The Viscous-Diffusive Traffic Flow Model
date: 2022-07-09
pages: 12
extension: .pdf
mime: application/pdf
words: 5364
sentence: 330
flesch: 66
cache: cache/mase-14626.pdf
txt: txt/mase-14626.txt
summary:
  [41] Y. Zhang, W. Ai, and D. Liu, Analysis of equilibrium point based on nonlinear traffic flow model, ITM Web of Conferences, EDP Sciences, 45, 2022, 01055. [5] B. Cen, Y. Xue, Y. Qiao, Y. Wang, W. Pan, and H. He, Global stability and bifurcation of macro- scopic traffic flow models for upslope and downslope, Research square preprint (2022).


id: mase-14332
author: Zhang, Hua; Wang, Hao; Niu, Ben
title: Dynamics of a stoichiometric producer-grazer model with maturation delay
date: 2022-02-06
pages: 26
extension: .pdf
mime: application/pdf
words: 13657
sentence: 888
flesch: 73
cache: cache/mase-14332.pdf
txt: txt/mase-14332.txt
summary:
  The bifurcation diagrams on τ − K plane. The increase of delay can decrease the survival STOICHIOMETRIC PRODUCER-GRAZER MODEL WITH MATURATION DELAY 43 region of the grazer on τ − K plane.


id: mase-15397
author: Tarik, Lahcen; Chergui, Mohamed; El Wahbi, Bouazza
title: On a new generalized Tsallis relative operator entropy
date: 2023-02-20
pages: 11
extension: .pdf
mime: application/pdf
words: 4734
sentence: 366
flesch: 82
cache: cache/mase-15397.pdf
txt: txt/mase-15397.txt
summary:
  The authors introduced the Tsallis relative operator entropy Tp(A | B) for two operators A,B ∈ B+∗(H) and p ∈ (0, 1] as follows Tp(A | B) = A]p B −A p . For −q ≤ p ≤ q and y > 0, a simple study leads to the following inequalities q p p+q


id: mase-15775
author: Jebisha Esther S; J, Veninstine Vivik
title: Minimum Dominating Set for the Prism Graph Family
date: 2023-03-22
pages: 10
extension: .pdf
mime: application/pdf
words: 4753
sentence: 412
flesch: 86
cache: cache/mase-15775.pdf
txt: txt/mase-15775.txt
summary:
  The number of elements in such set is called as domination number of graph and is denoted by γ(G). The basic definition and details about the domination sets and domination numbers of graphs are discussed in [10].


id: mase-15447
author: Al-Saffar, Avan; Kim, Eun-jin
title: Fisher information approach to understand the Gompertz model
date: 2022-12-26
pages: 11
extension: .pdf
mime: application/pdf
words: 4341
sentence: 233
flesch: 68
cache: cache/mase-15447.pdf
txt: txt/mase-15447.txt
summary:
  This behavior is due to the high variability in the model parameters beyond x0 ' x∗; low variability (more sustainable) yields high Fisher information whereas high variability leads to low Fisher information. Further comparison is conducted based on changes in information during growth between the Logistic growth model and Gompertz growth model [13].


id: mase-16387
author: Adhe, Abhijeet; Ghadle, Kirtiwant; Thool, Uday
title: Analysis of thermal stresses to 2D plane thermoelastic inhomogeneous strip
date: 2023-06-26
pages: 10
extension: .pdf
mime: application/pdf
words: 3632
sentence: 229
flesch: 64
cache: cache/mase-16387.pdf
txt: txt/mase-16387.txt
summary:
  Mathematics in Applied Sciences and Engineering https://ojs.lib.uwo.ca/mase Volume 4, Number 2, June 2023, pp.144-153 https://doi.org/10.5206/mase/16387 ANALYSIS OF THERMAL STRESSES TO 2D PLANE THERMOELASTIC INHOMOGENEOUS STRIP ABHIJEET B. ADHE, KIRTIWANT P. GHADLE, AND UDAY S. THOOL Abstract. 2D plane thermoelastic problems, inhomogeneous strip, thermal stresses, Volterra integral equation, analytical solution.


id: mase-14537
author: Patterson, Ben; Wang, Jin
title: How does the latency period impact the modeling of COVID-19 transmission dynamics?
date: 2022-02-20
pages: 26
extension: .pdf
mime: application/pdf
words: 11452
sentence: 551
flesch: 64
cache: cache/mase-14537.pdf
txt: txt/mase-14537.txt
summary:
  COVID-19, mathematical modeling, latency period, data fitting. Simulation results for the active asymptomatic cases generated by the SAIR model and the SEAIR models with latency periods of 0.1 days, 1 day, 3 days, and 5 days.


id: mase-15591
author: Habiba Babangida Awwalu; Abdullahi, Nasiru; Hussaini, Muktar
title: A Conceptual model of mixed-integer linear programming water distribution system
date: 2023-05-22
pages: 13
extension: .pdf
mime: application/pdf
words: 6276
sentence: 299
flesch: 50
cache: cache/mase-15591.pdf
txt: txt/mase-15591.txt
summary:
  Proposed MILP WDS objective functions An objective function defines the quantity to be optimized, and the goal of linear programming is to fine the values of the variables that minimize or maximize the objective function Proposed MILP WDS objective functions 4.1.


id: mase-8196
author: Samanta, G.P.; Mondal, A.; Sahoo, D.; Dolai, P.
title: A prey-predator system with herd behaviour of prey in a rapidly fluctuating environment
date: 2019-12-06
pages: 11
extension: .pdf
mime: application/pdf
words: 4326
sentence: 224
flesch: 64
cache: cache/mase-8196.pdf
txt: txt/mase-8196.txt
summary:
  A statistical theory of non-equilibrium fluctuation in damped Volterra-Lotka prey-predator system where prey population lives in herd in a rapidly fluctuating random environment has been pre- sented. The characteristic of group-living of prey population has been emphasized using square root of prey density in the functional response.


id: mase-14985
author: Sayooj Aby Jose; Varun Bose C S; Bijesh P Biju; Nirappathu house, Abin Thomas
title: A study on the mild solution of special random impulsive fractional differential equations
date: 2022-12-14
pages: 19
extension: .pdf
mime: application/pdf
words: 6783
sentence: 447
flesch: 80
cache: cache/mase-14985.pdf
txt: txt/mase-14985.txt
summary:
  Furthermore, for each x ∈ Θm, we attain (Ψx)(t) − (Ψ�x)(t) = +∞∑ k=0 [ 1 Γ(a) ∫ t ξk (t−r)a−1T(t−r)f(r,x(r),Ux(r),V x(r))dr ] I[ξk,ξk+1)(t) − +∞∑ k=0 − Ψx(t)‖2 ≤W2 (T − t0)2a−1 Γ(a)(2a− 1) e−2k(t−t0) ∫ t t−� e2ξ(r−t0)L ∗H ( E‖x(r)‖2 )


id: mase-9413
author: Karki, Ramesh; You, Young Hwan
title: A solution to a fractional order semilinear equation using variational method
date: 2020-11-09
pages: 11
extension: .pdf
mime: application/pdf
words: 4960
sentence: 242
flesch: 72
cache: cache/mase-9413.pdf
txt: txt/mase-9413.txt
summary:
  − I(u) t = ∫ NTd (−∆) α 2 u(−∆) α 2 φ + t 2 ∫ NTd [ (−∆) α 2 φ ]2 (2.14) + ∫ NTd F(.,u + tφ) −F(.,u) t Since u ∈ Hα(NTd) and φ ∈ C∞(NTd), we have (−∆) α 2 u, (−∆) α 2 φ ∈ L2(NTd), so (−∆) α 2 u(−∆) α 2 φ,[ (−∆) α 2 φ ]2 ∈ L1(NTd). Then there exists u ∈ Hα(NTd) such that u is a minimizer of I given by Equation (2.10), and hence a weak solution to Equation (1.2).


id: mase-14112
author: Anderson, Abby; Vasilyeva, Olga
title: Prevailing winds and spruce budworm outbreaks: a reaction-diffusion-advection model
date: 2021-11-03
pages: 38
extension: .pdf
mime: application/pdf
words: 17435
sentence: 1016
flesch: 79
cache: cache/mase-14112.pdf
txt: txt/mase-14112.txt
summary:
  It is defined for u1 ≤ u ≤ u∗(q) (or u ≥ u1 in Case (3)) and is positive and satisfies the differential equation (3.5) for u1 < u < u ∗(q) (or for u > u1 in Case (3)), and we have v(u1; q) = v(u ∗; q) = 0 (or just v(u1; q) = 0 in Case (3)). ≤ u ≤ u1 (by Lemma 5.3) and v = vr(u) defined for u1 ≤ u ≤ u∗(q).


id: mase-15355
author: Md. Jasim Uddin; S. M. Sohel Rana
title: Chaotic dynamics of the fractional order Schnakenberg model and its control
date: 2023-03-22
pages: 21
extension: .pdf
mime: application/pdf
words: 7575
sentence: 475
flesch: 70
cache: cache/mase-15355.pdf
txt: txt/mase-15355.txt
summary:
  − σ̃e2(yn − 0.473373)) Fractional order Schnakenberg model, flip and Neimark-Sacker bifurcations, maximum Lya- punov exponent, fractal dimension, chaos control.


id: mase-15231
author: Pal, Debjit; Kesh, Dipak; Mukherjee, Debasis
date: 2023-04-02
pages: 21
extension: .pdf
mime: application/pdf
words: 8485
sentence: 426
flesch: 64
cache: cache/mase-15231.pdf
txt: txt/mase-15231.txt
title:
  Diffusion-driven instability and pattern formation in a prey-predator model with fear and Allee effect

summary:
  B. Xie, Impact of the fear and allee effect on a holling type ii prey–predator model, Advances in Difference Equations 2021 (2021), no. 1, 1–15. 33. Z. Zhu, R. Wu, L. Lai, and X. Yu, The influence of fear effect to the lotka–volterra predator–prey system with predator has other food resource, Advances in Difference Equations 2020 (2020), no. 1, 1–13.


id: mase-15658
author: Raissouli, Mustapha; Oudaani, Jaouad
title: On the weak solution of the Von Karman model with thermoelastic plates
date: 2023-06-09
pages: 16
extension: .pdf
mime: application/pdf
words: 6712
sentence: 449
flesch: 88
cache: cache/mase-15658.pdf
txt: txt/mase-15658.txt
summary:
  + η ∫ t 0 |∇θn|22,ω = 1 2 ( |un1| 2 2,ω + ‖un0‖ 2 + k |θn0| 2 2,ω ) + ∫ t 0 ∫ ω funt . + η ∫ t 0 |∇θn|22,ω = 1 2 ( |un1| 2 2,ω + ‖un0‖ 2 + k |θn0| 2 2,ω ) + ∫ t 0 ∫ ω funt ,


id: mase-15536
author: Tang, Na; Zhang, Jian
title: Energy criteria of global existence for a class of Hartree equations with Coulomb potential
date: 2023-03-30
pages: 18
extension: .pdf
mime: application/pdf
words: 7941
sentence: 578
flesch: 91
cache: cache/mase-15536.pdf
txt: txt/mase-15536.txt
summary:
  [ ‖∇R‖4pγ−4p2 ‖∇W‖ 8−2np 2 2npγ−8γ+4(a0D3)4γ−np ] 1 8+4pγ−4p−2np , a3 = 1 2‖∇R‖P2 ‖ϕ0‖ 4−(n−2)p 2 2 ,a4 = 1 2γ‖∇W‖22 ‖ϕ0‖ 4−2γ 2 , f3(y) := 1 a0 y − 2 np‖∇R‖p2 ‖ϕ0‖ 4−(n−2)p 2 2 y np 4 − 1 2γγ‖∇W‖22 ‖ϕ0‖ 4−2γ 2 2 y γ. − 1) (n− 2)2 ]y. When ‖ϕ‖ 2 n 2 < ( γ − 2


id: mase-9451
author: Chen, Yuming; Zheng, Chongwu
title: Global asymptotic stability of a delayed plant disease model
date: 2020-02-24
pages: 12
extension: .pdf
mime: application/pdf
words: 5089
sentence: 390
flesch: 84
cache: cache/mase-9451.pdf
txt: txt/mase-9451.txt
summary:
  Then we have σϕ − βSI − ηS = 0 (2.2) and σ(1 − ϕ) In this paper, we consider the following system of delayed differential equations,{ S′(t) = σϕ − βS(t)I(t − τ) − ηS(t), I′(t) = σ(1 − ϕ)


id: mase-10644
author: Lam, King-Yeung; Liu, Shuang; Lou, Yuan
title: Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology
date: 2020-05-17
pages: 31
extension: .pdf
mime: application/pdf
words: 18144
sentence: 1079
flesch: 63
cache: cache/mase-10644.pdf
txt: txt/mase-10644.txt
summary:
  Single species models The study of mathematical models for single species has played a primary role in population dynam- ics. In this section we will focus on two types of single species models and study the effect of varying the diffusion rate.


id: mase-14663
author: Nangue, Alexis; Tiomo Lemofouet, Paulin; Ndouvatama, Simon; Emmanuel, Kengne
date: 2022-05-15
pages: 20
extension: .pdf
mime: application/pdf
words: 9631
sentence: 551
flesch: 74
cache: cache/mase-14663.pdf
txt: txt/mase-14663.txt
title:
  Global Analysis of a generalized viral infection temporal model with cell-to-cell transmission and absorption effect under therapy

summary:
  [40] L. Wang and M. Y. Li, Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells, Math. We note that in virus dynamics model proposed by [16], the loss of pathogens due to the absorption into uninfected cells is ignored.


id: mase-8120
author: Xia, Peng; Han, Yazhou; Tao, Jicheng; Ma, Manjun
date: 2019-09-30
pages: 15
extension: .pdf
mime: application/pdf
words: 6652
sentence: 380
flesch: 77
cache: cache/mase-8120.pdf
txt: txt/mase-8120.txt
title:
  Existence and metastability of non-constant steady states in a Keller-Segel model with density-suppressed motility

summary:
  In [15], the authors studied the global existence of classical solutions, the stability of constant steady states and the existence of non-constant solutions in any dimensions for the motility function r(v) given by r(v) = c0/v p, p > 0, c0 > 0 This result implies that the occurrence of non-constant solutions of (2.10) requires β D to be large for some fixed p.


id: mase-14918
author: Nangue, Alexis; Fokam Tacteu, Armel Willy; Guedlai, Ayouba
title: Global stability of a HCV dynamics model with cellular proliferation and delay
date: 2022-09-10
pages: 27
extension: .pdf
mime: application/pdf
words: 11161
sentence: 733
flesch: 82
cache: cache/mase-14918.pdf
txt: txt/mase-14918.txt
summary:
  − τ) = H1, V (t) = V (t − τ) = V1 and I(t) = I1. Therefore, dU(t) dt ≤ emτrI (H−H0)2 HH0 − rH k rIe mτ ((H −H0) +


id: mase-15505
author: Jin, Jun; Li, Jiaxu; Xu, Rui; Yu, Lei; Jin, Zhen
title: A novel IVGTT model including interstitial insulin
date: 2023-02-20
pages: 18
extension: .pdf
mime: application/pdf
words: 10478
sentence: 557
flesch: 71
cache: cache/mase-15505.pdf
txt: txt/mase-15505.txt
summary:
  In physiological observation, the dynamics of glucose, plasma insulin and interstitial insulin will return to their basal level after the test (180 min). After the creation of MM, deeper understanding for the action of interstitial insulin on blood sugar removal became much clearer.


id: mase-14612
author: Ghasemi, Maryam; Freingruber, Viktoria; Kuttler, Christina ; Eberl, Hermann J
date: 2022-06-16
pages: 31
extension: .pdf
mime: application/pdf
words: 14736
sentence: 822
flesch: 62
cache: cache/mase-14612.pdf
txt: txt/mase-14612.txt
title:
  A mathematical model of quorum quenching in biofilm colonies and its potential role as an adjuvant for antibiotic treatment

summary:
  The resulting model will include three biomass volume fractions: down-regulated active, up-regulated active and inert (inactive) biomass, and nutrients, antibiotics, AHL and QQ concentration as dissolved substrates. Our main objectives in this sections are to investigate whether the concentration at which QQ is added can change the QS behavior of a biofilm that is already up-regulated at the time when antibiotics are administered, and to find a range of QQ concentration under which quenching is efficient for the simulation setup investigated here.


id: mase-15949
author: Arop, Martin; Kasumba, Henry; Kasozi, Juma; Berntsson, Fredrik
title: Optimal actuator placement for control of vibrations induced by pedestrian-bridge interactions
date: 2023-08-20
pages: 24
extension: .pdf
mime: application/pdf
words: 11089
sentence: 675
flesch: 82
cache: cache/mase-15949.pdf
txt: txt/mase-15949.txt
summary:
  Suppose that {fn} is a sequence in K1 that converges weakly in H10 (Ω) to f ∈ K1, {gn} is a sequence in K2 that converges weakly in L 2(Ω) to g ∈ K2 and {un} is a sequence in Uad that converges weakly to a function u ∈ Uad. Since f ∈ K1 and g ∈ K2, it follows that fR ∈ K1 and g R ∈ K2 with ‖fR‖H10 (Ω) ≤ 1, ‖ g R ‖L2(Ω) ≤ 1.


# url

id: mase-14233
domain: www.who.int
url:
  https://www.who.int/en/news-room/feature-stories/detail/the-oxford-astrazeneca-covid-19-vaccine-whatyou-need-to-know


id: mase-10847
domain: kathmandupost.com
url:
  https://kathmandupost.com/national/2019/02/04/nepal-has-pledged-to-end-rabies-by2030-but-dog-bite-cases-are-rising


# ent

id: mase-14018
sid: 161
eid: 7
type: DATE
entity:
  1 2 3 4 5 6 7 8 9 10 1 1 1 1 0 0 0 0 0 0 0 2 1 1 1 1 0 0 0 0 1 0 3 1 1 1 1 1 0 0 0 1 1 4 0 1 1 1 1 1 0 0 1 1 5 0 0 1 1 1 1 1 0 1 1 6 0 0 0 0 1 1 1 1 0 0 7 0 0 0 0 0 1 1 1 0 0 8 0 0 0 0 0 0 1 1 0 0 9 0 1 1 1 1 1 0 0 1 1 10 0 0 1 1 1 0 0 0 1 1 20


id: mase-14018
sid: 229
eid: 1
type: ORG
entity:
  http://www.math.clemson.edu/~mjs/courses/mthsc.440/integer.pdf http://www.math.clemson.edu/~mjs/courses/mthsc.440/integer.pdf https://docplayer.net/27853871-vassilis-kostoglou-url-linear-programming-1.html https://www.diva-portal.org/smash/get/diva2:1214402/fulltext01.pdf https://www.diva-portal.org/smash/get/diva2:1214402/fulltext01.pdf


id: mase-14031
sid: 229
eid: 4
type: ORG
entity:
  de l’académie royale des sciences avec les mémoires de mathématique et de physique tirés de cette académie (


id: mase-14233
sid: 405
eid: 1
type: PERSON
entity:
  https://github.com/cssegisanddata/covid-19/ https://github.com/cssegisanddata/covid-19/ https://www.who.int/en/news-room/feature-stories/detail/the-oxford-astrazeneca-covid-19-vaccine-whatyou-need-to-know


id: mase-16387
sid: 257
eid: 1
type: PERSON
entity:
  https://doi.org/10.1186/s13661-019-1119-y https://doi.org/10.1186/s13661-019-1119-y https://doi.org/10.1007/978-94-007-2739-7


id: mase-14537
sid: 545
eid: 1
type: ORG
entity:
  https://www.imperial.ac.uk/mrc-global-infectious-disease-analysis/news--wuhan-coronavirus/ https://www.imperial.ac.uk/mrc-global-infectious-disease-analysis/news--wuhan-coronavirus/ latency


id: mase-14537
sid: 559
eid: 9
type: PERSON
entity:
  jin-wang02@utc.edu https://www.cdc.gov/coronavirus/2019-ncov https://www.cdc.gov/coronavirus/2019-ncov


