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Optimal COVID-19 epidemic strategy with vaccination control and infection prevention measures in Thailand [PDF]
COVID-19 is a severe acute respiratory syndrome caused by the Coronavirus-2 virus (SARS-CoV-2). The virus spreads from one to another through droplets from an infected person, and sometimes these droplets can contaminate surfaces that may be another ...
Adison Thongtha, Chairat Modnak
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Control of COVID-19 dynamics through a fractional-order model [PDF]
We investigate, through a fractional mathematical model, the effects of physical distance on the SARS-CoV-2 virus transmission. Two controls are considered in our model for eradication of the spread of COVID-19: media education, through campaigns ...
Samia Bushnaq+3 more
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Qualitative analysis of a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity [PDF]
In this paper, a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity in a spatially heterogeneous environment is proposed. The well-posedness of the solution is firstly established. Then the basic reproduction number
Jianpeng Wang+2 more
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A fractional order model for Dual Variants of COVID-19 and HIV co-infection via Atangana-Baleanu derivative [PDF]
In this paper, a new mathematical model for dual variants of COVID-19 and HIV co-infection is presented and analyzed. The existence and uniqueness of the solution of the proposed model have been established using the well known Banach fixed point theorem.
Andrew Omame+4 more
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Some remarks on segregation of $k$ species in strongly competing systems [PDF]
Spatial segregation occurs in population dynamics when k species interact in a highly competitive way. As a model for the study of this phenomenon, we consider the competitiondiffusion system of k differential equations −∆ui(x) = −μui(x) ∑ j 6=i uj(x) i =
F. Lanzara, Eugenio Montefusco
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On the number of positive solutions to an indefinite parameter-dependent Neumann problem [PDF]
We study the second-order boundary value problem { −u′′ = aλ,μ(t)u(1− u), t ∈ (0, 1), u′(0) = 0, u′(1) = 0, where aλ,μ is a step-wise indefinite weight function, precisely aλ,μ ≡ λ in [0, σ]∪ [1−σ, 1] and aλ,μ ≡ −μ in (σ, 1−σ), for some σ ∈ ( 0, 1 2 ...
Guglielmo Feltrin+2 more
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Optimal control for an ordinary differential equation online social network model
. In this paper, we propose a set of ordinary differential equation models for online social networks and then consider the optimal control problem subject to a type of objective functions.
L. Kong, Min Wang
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Modelling of a two prey and one predator system with switching effect
Prey switching strategy is adopted by a predator when they are provided with more than one prey and predator prefers to consume one prey over others. Though switching may occur due to various reasons such as scarcity of preferable prey or risk in hunting
Saha Sangeeta, Samanta Guruprasad
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In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin+3 more
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This study elucidates the sufficient conditions for the first-order nonlinear differential equations with periodic coefficients and time-varying delays to have positive periodic solutions.
Han Xiaoling, Lei Ceyu
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