BIFURCATION AND STABILITY OF A DIFFUSIVE SIRS EPIDEMIC MODEL WITH TIME DELAY

被引：0
|
作者：
Sounvoravong, Bounsanong [1 ]
Guo, Shangjiang [1 ]
Bai, Yuzhen [2 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年
关键词：
Diffusion; SIR model; basic reproduction number; stability; GLOBAL STABILITY; BEHAVIOR;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and nonlinear incidence rate. On the one hand, we study the existence and stability of the disease-free equilibrium, endemic equilibria and Hopf bifurcation, by analyzing the characteristic equations. On the other hand, we establish formulas determining the direction and stability of the bifurcating periodic solutions.
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页数：16
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