HOPF BIFURCATION OF AN SEIRS MODEL WITH AGE STRUCTURE AND TIME DELAY

被引：5

作者：

Cao, Hui ^{[1
]}

Han, Mengmeng ^{[1
]}

Yang, Junyuan ^{[2
]}

Liu, Lili ^{[2
]}

LI, Haiyan ^{[1
]}

机构：

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

[2] Complex Sci Res Ctr Shanxi Univ, Taiyuan 030006, Peoples R China

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2023年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

SEIRS Epidemic Model; Age-Structure; Delay; Stability; Hopf Bifurcation; GLOBAL ASYMPTOTIC STABILITY; EPIDEMIC MODEL; NONLINEAR INCIDENCE; BEHAVIOR; DYNAMICS;

D O I：

10.1142/S0218339023500122

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Age structure and delay play a significant role in determining the dynamics of the diseases. In this paper, an SEIRS epidemic model with age structure and time delay is investigated, where the loss of the acquired immunity and delay are incorporated. Through some rigorous analyses, an explicit formula for the basic reproduction number of the model is calculated, and some results about stability and instability of equilibria for the model are established. The findings show that the age structure and delay can produce Hopf bifurcation for an SEIRS model. The numerical examples are executed to illustrate the theoretical results.

引用

页码：245 / 269

页数：25

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