Hopf bifurcation of the age-structured SIRS model with the varying population sizes

被引：3
|
作者：
Cao, Hui [1 ]
Han, Mengmeng [1 ]
Bai, Yunxiao [1 ]
Zhang, Suxia [2 ]
机构：
[1] Shaanxi Univ Sci & Technol, Sch Math & Data Sci, Xian 710021, Peoples R China
[2] Xian Univ Technol, Sch Sci, Xian 710054, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 10期
基金：
中国国家自然科学基金;
关键词：
SIRS epidemic model; the varying population sizes; age-structured; stability switch; Hopf bifurcation; EPIDEMIC MODELS; STABILITY; DYNAMICS; IMMUNITY;
D O I：
10.3934/era.2022194
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to investigate the impact of the varying population sizes on the dynamic behavior of the age-structured epidemic model. A age-structured SIRS epidemic model with the varying population sizes is established and investigated to take into account time delay. The non-negativity of the solution, the existence and stability of the steady states, and the existence of the Hopf bifurcation are discussed. The numerical simulations show that the varying population sizes can cause the age-structured SIRS model to produce multiple stability switches.
引用
收藏
页码：3811 / 3824
页数：14
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