Boundedness and asymptotic behavior of solutions for a diffusive epidemic model

被引：1

作者：

Touil, Asma ^{[1
]}

Youkana, Amar ^{[1
]}

机构：

[1] Univ Batna 2, Dept Math, Batna 05078, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 04期

关键词：

global existence; Lyapunov functional; asymptotic behavior;

D O I：

10.1002/mma.4029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the existence and the asymptotic behavior of solutions for some reaction-diffusion equations arising in epidemic biology phenomena. We will show that for a rather broad class of nonlinearities, the solutions are global and uniformly bounded, and under suitable assumptions on the parameters of the system, these solutions converge as time goes to infinity to a disease-free equilibrium point. Copyright (C) 2016 JohnWiley & Sons, Ltd.

引用

页码：970 / 978

页数：9

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