A PERIODIC EPIDEMIC MODEL WITH AGE STRUCTURE IN A PATCHY ENVIRONMENT

被引：14

作者：

Liu, Xiuxiang ^{[1
]}

Zhao, Xiao-Qiang ^{[2
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2011年 / 71卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

epidemic model; stage structure; basic reproduction number; uniform persistence; extinction; BASIC REPRODUCTION NUMBER; VECTOR-BORNE DISEASES; THRESHOLD DYNAMICS; POPULATION; SEMIFLOWS;

D O I：

10.1137/100813610

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a periodic epidemic model with age structure in a patchy environment is introduced. We investigate its global dynamics in term of the basic reproduction number R-0, and show that there exists at least one positive periodic state and the disease persists when R-0 > 1 while the disease will die out if R-0 < 1. Some numerical examples are given to confirm our analytic results and to show that the age and spatial heterogeneities are important factors for the global dynamics.

引用

页码：1896 / 1917

页数：22

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