Hopf bifurcation for an SIR model with age structure

被引：5

作者：

Cao, Hui ^{[1
]}

Yan, Dongxue ^{[2
]}

Xu, Xiaxia ^{[3
]}

机构：

[1] Shaanxi Univ Sci & Technol, Dept Math, Xian 710021, Peoples R China

[2] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Peoples R China

[3] Xian Univ Technol, Sch Sci, Xian 710054, Peoples R China

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2021年 / 16卷

基金：

中国国家自然科学基金;

关键词：

Age-structured SIR model; C-0-semigroup; Asymptotical stability; Hopf bifurcation;

D O I：

10.1051/mmnp/2021003

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper deals with an SIR model with age structure of infected individuals. We formulate the model as an abstract non-densely defined Cauchy problem and derive the conditions for the existence of all the feasible equilibrium points of the system. The criteria for both stability and instability involving system parameters are obtained. Bifurcation analysis indicates that the system with age structure exhibits Hopf bifurcation which is the main result of this paper. Finally, some numerical examples are provided to illustrate our obtained results.

引用

页数：17

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