THRESHOLD DYNAMICS IN A TIME-DELAYED PERIODIC SIS EPIDEMIC MODEL

被引：38
|
作者：
Lou, Yijun [1 ]
Zhao, Xiao-Qiang [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math, St John, NF A1C 5S7, Canada
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 12卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Periodic epidemic model; Maturation delay; Basic reproduction ratio; Periodic solutions; Uniform persistence; MONOTONE;
D O I：
10.3934/dcdsb.2009.12.169
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The global dynamics of a periodic SIS epidemic model with maturation delay is investigated. We first obtain sufficient conditions for the single population growth equation to admit a globally attractive positive periodic solution. Then we introduce the basic reproduction ratio R-0 for the epidemic model, and show that the disease dies out when R-0 < 1, and the disease remains endemic when R-0 > 1. Numerical simulations are also provided to confirm our analytic results.
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页码：169 / 186
页数：18
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