GLOBAL ASYMPTOTIC STABILITY OF A DIFFUSIVE SVIR EPIDEMIC MODEL WITH IMMIGRATION OF INDIVIDUALS

被引：0

作者：

Abdelmalek, Salem ^{[1
]}

Bendoukha, Samir ^{[2
]}

机构：

[1] Univ Tebessa 12002, Tebessa 12002, Algeria

[2] Taibah Univ, Dept Elect Engn, Coll Engn Yanbu, Riyadh, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Reaction diffusion systems; SVIR; immigration; Lyapunov functional; large time behavior; VACCINATION; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider a spatially SVIR model of infectious disease epidemics which allows for continuous immigration of all classes of individuals. We show that the proposed model has a unique steady state that is asymptotically stable. Using an appropriately constructed Lyapunov functional, we establish its global asymptotic stability. Numerical results obtained through Matlab simulations are presented to confirm the results.

引用

页数：14

共 13 条

[1] A Lyapunov functional for a triangular reaction-diffusion system with nonlinearities of exponential growth [J].