Backward bifurcation of an age-structured epidemic model with partial immunity: The Lyapunov-Schmidt approach

被引：5

作者：

Yang, Junyuan ^{[1
,2
]}

Zhou, Miao ^{[1
,2
]}

Li, Xuezhi ^{[3
]}

机构：

[1] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China

[2] Shanxi Univ, Shanxi Key Lab Math Tech & Big Data Anal Dis Contr, Taiyuan 030006, Peoples R China

[3] Hennan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 133卷

基金：

山西省青年科学基金; 中国国家自然科学基金;

关键词：

Age structure; Backward bifurcation; Bistable phenomena;

D O I：

10.1016/j.aml.2022.108292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose an age-structured SVIRS model with two loss routes of immunity. Employing the Lyapunov-Schmidt approach, we derive a necessary and sufficient condition for the occurrence of a backward bifurcation. We identify that the combined action of such two losses of immunity plays a vital role in producing a bistable phenomena.

引用

页数：7

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