The global stability for a vector-host epidemicModel

被引：1

作者：

Qiu, Zhipeng ^{[1
]}

Yu, Jun ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing, Peoples R China

来源：

ICIC 2009: SECOND INTERNATIONAL CONFERENCE ON INFORMATION AND COMPUTING SCIENCE, VOL 1, PROCEEDINGS: COMPUTING SCIENCE AND ITS APPLICATION | 2009年

关键词：

Vector-host; differential equations; global stability; autonomous convergence; WEST-NILE-VIRUS; MODEL;

D O I：

10.1109/ICIC.2009.11

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a five-dimensional vector-host epidemic model with temporary immunity is studied. Applying autonomous convergence theorem, the basic reproduction number is proved to be a sharp threshold which completely determines the global dynamics and the outcome of the disease. If the reproduction number is less than or equal to one, the disease-free equilibrium is globally asymptotically stable in the feasible region and the disease always dies out. If the reproduction number is greater than one, a unique endemic equilibrium is globally asymptotically stable in the interior of the feasible region and the disease will persist at the endemic equilibrium if it is initially present.

引用

页码：15 / 18

页数：4

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