Hopf Bifurcation Analysis of Malicious Virus Propagation Model with Time Delays and Diffusion Effect

被引：0

作者：

Huang, Xixi ^{[1
,2
]}

Chen, Jing ^{[1
,2
]}

Xiao, Min ^{[1
,2
]}

Ju, Yawen ^{[1
,2
]}

Li, Hongliang ^{[1
,2
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210023, Peoples R China

[2] Nanjing Univ Posts & Telecommun, Coll Artificial Intelligence, Nanjing 210023, Peoples R China

来源：

2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC | 2023年

基金：

中国国家自然科学基金;

关键词：

SIR model; MWSNs; Time delay; Diffusion effect; Stability; Hopf bifurcation;

D O I：

10.1109/CCDC58219.2023.10326937

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper establishes a delayed SIR malicious virus propagation model in mobile wireless sensor networks (MWSNs). Since these nodes are mobile, we introduce diffusion effect into the model. With time delay as the bifurcation parameter, the local stability of the positive equilibrium point and the existence of Hopf bifurcation are analyzed. We find that when the time delay exceeds the critical value, the system will lose stability and Hopf bifurcation will occur. Eventually, the correctness of the main results is illustrated by numerical simulations.

引用

页码：4447 / 4452

页数：6

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