Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
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平流环境中流行病模型稳态的动力学和渐近剖面
DOI：
10.1016/j.jde.2017.03.045
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发表时间：
2017-08-15
影响因子：
2.4
通讯作者：
Lou, Yuan
中科院分区：
文献类型：
--
作者：
Cui, Renhao;Lam, King-Yeung;Lou, Yuan
研究了一类反应扩散平流型SIS传染病模型的动力学行为。当基本再生数大于或小于或等于1时，分别建立了感染种群和易感种群的持续生存和无病平衡点的全局稳定性。我们进一步考虑了扩散和平流对地方病平衡点渐近分布的影响：当平流速率相对于两个种群的扩散速率较大时，两个种群持续存在并集中在下游端。当易感种群的扩散率趋于零时，感染种群的密度在正平流率下呈指数衰减，而在无平流率时呈线性衰减。我们的研究结果表明，平流可以帮助加快消除疾病。(C)2017爱思唯尔公司All rights reserved.
We study the dynamics of a SIS epidemic model of reaction diffusion advection type. The persistence of infected and susceptible populations and the global stability of the disease free equilibrium are established when the basic reproduction number is greater than or less than or equal to one, respectively. We further consider the effects of diffusion and advection on asymptotic profiles of endemic equilibrium: When the advection rate is relatively large comparing to the diffusion rates of both populations, then two populations persist and concentrate at the downstream end. As the diffusion rate of the susceptible population tends to zero, the density of the infected population decays exponentially for positive advection rate but linearly when there is no advection. Our results suggest that advection can help speed up the elimination of disease. (C) 2017 Elsevier Inc. All rights reserved.