文章基本信息

标题：Global dynamics for an SIR patchy model with susceptibles dispersal
本地全文：下载
作者：Luju Liu ; Weiyun Cai ; Yusen Wu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：131
DOI：10.1186/1687-1847-2012-131
语种：English
出版社：Hindawi Publishing Corporation
摘要：An S I R epidemiological model with suscptibles dispersal between two patches is addressed and discussed. The basic reproduction numbers R 01 and R 02 are defined as the threshold parameters. It shows that if both R 01 and R 02 are below unity, the disease-free equilibrium is shown to be globally asymptotically stable by using the comparison principle of the cooperative systems. If R 01 is above unity and R 02 is below unity, the disease persists in the first patch provided S 2 1 ∗ S 2 2 ∗ and S 1 2 ∗ > S 1 1 ∗ are satisfied, the unique endemic equilibrium is globally asymptotically stable by constructing the Lyapunov function. Furthermore, it follows that the susceptibles dispersal in the population does not alter the qualitative behavior of the epidemiological model.
关键词：H1N1 Influenza ; Epidemic Model ; Comparison Principle ; Endemic Equilibrium ; Basic Reproduction Number