Global stability and Hopf bifurcation of networked respiratory disease model with delay

被引：1
|
作者：
Shi, Lei [1 ]
Zhou, Jiaying [2 ]
Ye, Yong [2 ]
机构：
[1] Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou 730070, Peoples R China
[2] Harbin Inst Technol, Sch Sci, Shenzhen 518055, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 151卷
关键词：
Network; Respiratory diseases; Time delay; Hopf bifurcation; Lyapunov function;
D O I：
10.1016/j.aml.2024.109000
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Time delay is introduced into a networked respiratory disease model, which describes the occurrence of respiratory diseases caused by air pollution. By analyzing the eigenvalues, it has been proven that when the delay exceeds the threshold, the endemic equilibrium loses stability through Hopf bifurcation. In addition, employing Lyapunov functions, we provide the condition that the endemic equilibrium is globally asymptotically stable. Our work extends the stability theory of the classical networked delayed reaction-diffusion model.
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页数：6
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