item: #1 of 56
          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
       words: 4671
      flesch: 74
     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.
    keywords: disease; model; n2γ; n3β; tuberculosis
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        item: #2 of 56
          id: mase-10267
      author: Lei, Jinzhi
       title: Viewpoints on modelling: Comments on "Achilles and the tortoise: Some caveats to mathematical modelling in biology"
        date: 2020-02-29
       words: 3398
      flesch: 40
     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.
    keywords: biology; laws; mathematical; mechanism; models; understanding
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        item: #3 of 56
          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
       words: 8023
      flesch: 72
     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.
    keywords: aelf; behaviour; dynamics; equilibrium; host; number; population; rate; resistance; tick
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        item: #4 of 56
          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
       words: 18144
      flesch: 63
     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.
    keywords: advection; competition; diffusion; dispersal; dynamics; environment; lou; math; model; phytoplankton; population; rate; reaction; species; state
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        item: #5 of 56
          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
       words: 10293
      flesch: 72
     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.
    keywords: cp(α; equilibrium; f(α; meso; model; predation; predator; prey; response; species
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        item: #6 of 56
          id: mase-10745
      author: Maji, Chandan; Mukherjee, Debasis 
       title: Dynamical analysis of a fractional order model incorporating fear in the disease transmission rate of COVID-19
        date: 2020-09-30
       words: 6513
      flesch: 69
     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
    keywords: analysis; bifurcation; covid-19; disease; equilibrium; fear; model; order; point; stability; system
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        item: #7 of 56
          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
       words: 4390
      flesch: 81
     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)!
    keywords: equilibrium; functional; predator; prey
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        item: #8 of 56
          id: mase-10828
      author: Xu, Jin
       title: Global dynamics of a two-strain HIV infection model with intracellular delay
        date: 2020-09-30
       words: 5627
      flesch: 73
     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.
    keywords: cells; delay; infection; model; t(t; time; virus
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        item: #9 of 56
          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
       words: 10820
      flesch: 74
     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.
    keywords: chemostat; equilibrium; function; model; predator; prey; q(x; response; system; β(x
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        item: #10 of 56
          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
       words: 8287
      flesch: 57
     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.
    keywords: control; culling; dog; dog culling; dog vaccination; jackal; level; model; nepal; optimal; prevalence; rabies; rabies prevalence; rate
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        item: #11 of 56
          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
       words: 4684
      flesch: 69
     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.
    keywords: aids; art; disease; eskd; hiv+; kidney; population
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        item: #12 of 56
          id: mase-10855
      author: Arora, Anudeep Kumar; Roudenko, Svetlana ; Yang, Kai
       title: On the focusing generalized Hartree equation
        date: 2020-12-16
       words: 10233
      flesch: 76
     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.
    keywords: blow; case; equation; hartree; schrödinger; solutions; time
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        item: #13 of 56
          id: mase-10857
      author: Hurtado, Paul; Richards, Cameron
       title: A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions
        date: 2020-12-29
       words: 7083
      flesch: 62
     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.
    keywords: chain; delay; distribution; dwell; equations; erlang; glct; model; phase; procedure; rate; state; time; type
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        item: #14 of 56
          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
       words: 3372
      flesch: 52
     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.
    keywords: castillo; divergence; equation; operators; order; richards
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        item: #15 of 56
          id: mase-10876
      author: Buhat, Christian Alvin; Villanueva, Steven Kyle
       title: Determining the effectiveness of practicing non-pharmaceutical interventions in improving virus control in a pandemic using agent-based modelling
        date: 2020-12-30
       words: 5965
      flesch: 50
     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
    keywords: agents; cases; effects; infected; initial; number; quarantine; rate; simulation; testing; virus
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        item: #16 of 56
          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
       words: 11684
      flesch: 57
     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.
    keywords: boundary; cancer; cell; domain; dynamics; interface; invasion; level; macroscopic; micro; model; multiscale; problem; scale; set; time; tumour; velocity
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        item: #17 of 56
          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
       words: 5368
      flesch: 60
     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.
    keywords: followers; game; leader; population; supplies; zone
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        item: #18 of 56
          id: mase-11101
      author: Deng, Bo
       title: An empirical forecasting method for epidemic outbreaks with application to Covid-19
        date: 2020-12-24
       words: 4971
      flesch: 63
     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.
    keywords: data; error; forecasting; method; model; new; outbreak; time
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        item: #19 of 56
          id: mase-11137
      author: Lequyer, Jason; Cojocaru, Monica-Gabriela
       title: The replicator dynamics of generalized Nash games
        date: 2021-05-18
       words: 8570
      flesch: 74
     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.
    keywords: equation; games; nash; replicator; system; theorem
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        item: #20 of 56
          id: mase-13393
      author: Ghimire, Srijana; Wang, Xiang-Sheng
       title: Traveling waves in cooperative predation: relaxation of sublinearity
        date: 2021-02-01
       words: 5077
      flesch: 76
     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.
    keywords: equilibrium; predator; traveling; wave
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        item: #21 of 56
          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
       words: 340
      flesch: 32
     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.
    keywords: issue
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        item: #22 of 56
          id: mase-13511
      author: Karki, Ramesh
       title: On approximating initial data in some linear evolutionary equations involving fraction Laplacian
        date: 2022-01-19
       words: 4689
      flesch: 79
     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, . .
    keywords: k=1
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        item: #23 of 56
          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
       words: 10351
      flesch: 64
     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.
    keywords: analysis; coexistence; dynamics; hare; invasion; lynx; model; owl; predator; species; state; system
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        item: #24 of 56
          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
       words: 5517
      flesch: 74
     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.
    keywords: cells; infection; virus
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        item: #25 of 56
          id: mase-13889
      author: Webb, Glenn
       title: A COVID-19 epidemic model predicting the effectiveness of vaccination
        date: 2021-05-14
       words: 6639
      flesch: 67
     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.
    keywords: c e; cases; e b; e m; m b; model; n e
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        item: #26 of 56
          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
       words: 4870
      flesch: 61
     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.
    keywords: aco; ant; optimization; problem; program; scp; set
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        item: #27 of 56
          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
       words: 4751
      flesch: 60
     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.
    keywords: cases; data; epidemic; model; number; parameters; phase
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        item: #28 of 56
          id: mase-14112
      author: Anderson, Abby; Vasilyeva, Olga
       title: Prevailing winds and spruce budworm outbreaks: a reaction-diffusion-advection model
        date: 2021-11-03
       words: 17435
      flesch: 79
     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).
    keywords: case; outbreak; q∗cr; solution; v(u; φ(u
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        item: #29 of 56
          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
       words: 9962
      flesch: 70
     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.
    keywords: case; cluster; coupling; neighbor; network; oscillators; phase; solutions; stability
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        item: #30 of 56
          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
       words: 8653
      flesch: 59
     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.
    keywords: covid-19; data; disease; dose; efficacy; jan; model; number; population; rate; transmission; vaccination; vaccine
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        item: #31 of 56
          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
       words: 13657
      flesch: 73
     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.
    keywords: bifurcation; delay; equilibria; grazer; model; positive; producer; solution; stability; system
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        item: #32 of 56
          id: mase-14496
      author:  Mukherjee, Debasis 
       title: Dynamics of discrete predator- prey system with fear effect and density dependent birth rate of the prey species
        date: 2022-02-06
       words: 4435
      flesch: 67
     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.
    keywords: bifurcation; fear; predator; prey; rate; system
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        item: #33 of 56
          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
       words: 11452
      flesch: 64
     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.
    keywords: covid-19; data; days; latency; latency period; model; number; period; seair
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        item: #34 of 56
          id: mase-14612
      author: Ghasemi, Maryam; Freingruber, Viktoria; Kuttler, Christina ; Eberl, Hermann J
       title: A mathematical model of quorum quenching in biofilm colonies and its potential role as an adjuvant for antibiotic treatment
        date: 2022-06-16
       words: 14736
      flesch: 62
     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.
    keywords: ahl; antibiotics; biofilm; biomass; concentration; diffusion; eberl; h.j; model; quenching; quorum; rate; sensing; stress; system; t =; time
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        item: #35 of 56
          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
       words: 5313
      flesch: 67
     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.
    keywords: density; equation; flow; model; order; potholes; road; speed; surface; traffic; width
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        item: #36 of 56
          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
       words: 5364
      flesch: 66
     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).
    keywords: density; equation; flow; lane; model; order; speed; term; traffic; velocity
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        item: #37 of 56
          id: mase-14663
      author: Nangue, Alexis; Tiomo Lemofouet, Paulin; Ndouvatama, Simon; Emmanuel, Kengne
       title: Global Analysis of a generalized viral infection temporal model with cell-to-cell transmission and absorption effect under therapy
        date: 2022-05-15
       words: 9631
      flesch: 74
     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.
    keywords: cell; equilibrium; infection; model; virus; −η)f(t0
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        item: #38 of 56
          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
       words: 11161
      flesch: 82
     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) +
    keywords: + av; av1; equilibrium; infection; model; stability
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        item: #39 of 56
          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
       words: 6783
      flesch: 80
     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 )
    keywords: differential; x(r),ux(r),v; γ(a
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        item: #40 of 56
          id: mase-15074
      author: Li, Yan; Huang, Qihua
       title: The existence and uniqueness of solutions of a nonlinear toxin-dependent size-structured population model
        date: 2022-09-30
       words: 3675
      flesch: 77
     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.
    keywords: function; uniqueness; xmax; xmin
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        item: #41 of 56
          id: mase-15231
      author: Pal, Debjit; Kesh, Dipak; Mukherjee, Debasis
       title: Diffusion-driven instability and pattern formation in a prey-predator model with fear and Allee effect
        date: 2023-04-02
       words: 8485
      flesch: 64
     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.
    keywords: allee; diffusion; effect; equilibrium; fear; model; pattern; predator; prey; system
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        item: #42 of 56
          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
       words: 7575
      flesch: 70
     summary: − σ̃e2(yn − 0.473373)) Fractional order Schnakenberg model, flip and Neimark-Sacker bifurcations, maximum Lya- punov exponent, fractal dimension, chaos control.
    keywords: b)3; bifurcation; chaos; control; model; order; point; schnakenberg; system; γ(α; ρns
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        item: #43 of 56
          id: mase-15397
      author: Tarik, Lahcen; Chergui, Mohamed; El Wahbi, Bouazza
       title: On a new generalized Tsallis relative operator entropy 
        date: 2023-02-20
       words: 4734
      flesch: 82
     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
    keywords: entropy; operator
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        item: #44 of 56
          id: mase-15415
      author: Li, Zhenzhen; Dai, Binxiang
       title: Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
        date: 2022-12-14
       words: 10131
      flesch: 84
     summary: such that λ1(−L(l1,l2)) < 0 for every interval (l1, l2) with l2 − l1 > + ρδ < 0 as l2 − l1 >
    keywords: l2 l1; solution; u(t; ρ)ω
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        item: #45 of 56
          id: mase-15447
      author: Al-Saffar, Avan; Kim, Eun-jin
       title: Fisher information approach to understand the Gompertz model
        date: 2022-12-26
       words: 4341
      flesch: 68
     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].
    keywords: fisher; gompertz; information; model
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        item: #46 of 56
          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
       words: 10478
      flesch: 71
     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.
    keywords: data; glucose; insulin; ivgtt; model; parameter; plasma; subjects; time; values
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        item: #47 of 56
          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
       words: 7941
      flesch: 91
     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
    keywords: 2)2; ϕ(t
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        item: #48 of 56
          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
       words: 6276
      flesch: 50
     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.
    keywords: algorithm; cost; differential; distribution; function; milp; model; multi; objective; optimization; pipe; problem; system; water; wds
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        item: #49 of 56
          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
       words: 6712
      flesch: 88
     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 ,
    keywords: 2,ω; solution
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        item: #50 of 56
          id: mase-15775
      author: Jebisha Esther S; J, Veninstine Vivik
       title: Minimum Dominating Set for the Prism Graph Family
        date: 2023-03-22
       words: 4753
      flesch: 86
     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].
    keywords: = l; = ⇒; dl =; n =; q =
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        item: #51 of 56
          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
       words: 11089
      flesch: 82
     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.
    keywords: actuator; dxdt
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        item: #52 of 56
          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
       words: 3632
      flesch: 64
     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.
    keywords: equation; problem; solution; stresses
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        item: #53 of 56
          id: mase-8120
      author: Xia, Peng; Han, Yazhou; Tao, Jicheng; Ma, Manjun
       title: Existence and metastability of non-constant steady states in a Keller-Segel model with density-suppressed motility
        date: 2019-09-30
       words: 6652
      flesch: 77
     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.
    keywords: constant; solutions
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        item: #54 of 56
          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
       words: 4326
      flesch: 64
     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.
    keywords: behaviour; fluctuating; herd; predator; prey; system
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        item: #55 of 56
          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
       words: 4960
      flesch: 72
     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).
    keywords: equation; solution
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        item: #56 of 56
          id: mase-9451
      author: Chen, Yuming; Zheng, Chongwu
       title: Global asymptotic stability of a delayed plant disease model
        date: 2020-02-24
       words: 5089
      flesch: 84
     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)
    keywords: disease; i∗ϕ; plant
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