Threshold dynamics in a time-delayed epidemic model with dispersal

被引：4
|
作者：
White, Michael C. [1 ]
Zhao, Xiao-Qiang [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
MATHEMATICAL BIOSCIENCES | 2009年 / 218卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Infection period; Population dispersal; Basic reproduction number; Persistence; POPULATION;
D O I：
10.1016/j.mbs.2009.01.004
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The global dynamics of a time-delayed model with population dispersal between two patches is investigated. For a general class of birth functions, persistence theory is applied to prove that a disease is persistent when the basic reproduction number is greater than one. It is also shown that the disease will die out if the basic reproduction number is less than one, provided that the initial size of the infected population is relatively small. Numerical simulations are presented using some typical birth functions from biological literature to illustrate the main ideas and the relevance of dispersal. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：121 / 129
页数：9
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