GLOBAL STABILITY FOR MULTI-GROUP SIR AND SEIR EPIDEMIC MODELS WITH AGE-DEPENDENT SUSCEPTIBILITY

被引：6
|
作者：
Wang, Jinliang [1 ,2 ]
Liu, Xianning [1 ]
Kuniya, Toshikazu [3 ]
Pang, Jingmei [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[3] Kobe Univ, Grand Sch Syst Informat, Nada Ku, 1-1 Rokkodai Cho, Kobe, Hyogo, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 07期
基金：
日本学术振兴会; 中国国家自然科学基金; 中国博士后科学基金;
关键词：
Age-structured model; susceptibility; asymptotic smoothness; global attractor; global stability; SPATIAL HETEROGENEITY; INFECTION; THRESHOLD; DYNAMICS;
D O I：
10.3934/dcdsb.2017151
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the global asymptotic stability of multi-group SIR and SEIR age-structured models. These models allow the infectiousness and the death rate of susceptible individuals to vary and depend on the susceptibility, with which we can consider the heterogeneity of population. We establish global dynamics and demonstrate that the heterogeneity does not alter the dynamical structure of the basic SIR and SEIR with age dependent susceptibility. Our results also demonstrate that, for age structured multi-group models considered, the graph-theoretic approach can be successfully applied by choosing an appropriate weighted matrix as well.
引用
收藏
页码：2795 / 2812
页数：18
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