On a vector-host epidemic model with spatial structure

被引：71

作者：

Magal, Pierre ^{[1
]}

Webb, Glenn ^{[2
]}

Wu, Yixiang ^{[2
]}

机构：

[1] Univ Bordeaux, Math Dept, Bordeaux, France

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37235 USA

来源：

NONLINEARITY | 2018年 / 31卷 / 12期

关键词：

reaction-diffusion; epidemic models; global stability; basic reproduction number; REACTION-DIFFUSION SYSTEM; ASYMPTOTIC PROFILES; PATHOGEN SYSTEM; STEADY-STATES; DYNAMICS; DISEASE; CIRCULATION; POPULATIONS; PERSISTENCE; INCUBATION;

D O I：

10.1088/1361-6544/aae1e0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a reaction-diffusion vector-host epidemic model. We define the basic reproduction number R-0 and show that R-0 is a threshold parameter: if R-0 <= 1 the disease free equilibrium is globally stable; if R-0 > 1 the model has a unique globally stable positive equilibrium. Our proof combines arguments from monotone dynamical system theory, persistence theory, and the theory of asymptotically autonomous semiflows.

引用

页码：5589 / 5614

页数：26

共 42 条

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Allen LJS, 2008, DISCRETE CONT DYN-A, V21, P1

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