Stability analysis of a SIS model with stage structured and distributed maturation delay

被引：11

作者：

Wu, Chufen ^{[1
]}

Weng, Peixuan ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

SIS model; Stage structure; Distributed maturation delay; General incidence rate; Basic reproductive number; Persistence; Asymptotical stability; EPIDEMIOLOGIC MODELS;

D O I：

10.1016/j.na.2008.12.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a SIS model with stage structure in which the maturation delay is modeled as a distribution, to allow for the possibility that individuals may take different amounts of time to mature. General birth function and incidence rate are used. The basic reproductive number R-0 to determine whether the disease is extinct or not is found. Furthermore, we obtain sufficient conditions of globally asymptotical stability for the disease-free equilibrium and the endemic equilibrium. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：E892 / E901

页数：10

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