Global stability of epidemiological models with group mixing and nonlinear incidence rates

被引：62
作者：
Yuan, Zhaohui [2 ]
Wang, Lin [1 ]
机构：
[1] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada
[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Nonlinear incidence rate; Group mixing; Disease free equilibrium; Endemic equilibrium; Global stability; Lyapunov function; SEIR MODEL; BEHAVIOR; POPULATION; DYNAMICS; BIFURCATION;
D O I：
10.1016/j.nonrwa.2009.01.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a multigroup SEIR epidemiological model with nonlinear incidence rates, the basic reproduction number is identified. it is shown that, under certain group mixing patterns and nonlinearity and/or nonsmoothness in the incidence of infection, the basic reproduction number is a global threshold parameter in the sense that the disease free equilibrium is globally stable if the basic reproduction number is less than one and the endemic equilibrium is globally stable if the basic reproduction number is greater than one. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：995 / 1004
页数：10
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