Hopf bifurcation and fixed-time stability of a reaction-diffusion echinococcosis model with mixed delays

被引：1

作者：

Chen, Weixin ^{[1
]}

Xu, Xinzhong ^{[1
]}

Zhang, Qimin ^{[1
]}

机构：

[1] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2024年 / 223卷

基金：

中国国家自然科学基金;

关键词：

Echinococcosis; Hopf bifurcation; Fixed-time stability; Spatial diffusion; Mixed delays; EPIDEMIC MODEL; MALWARE PROPAGATION; TRANSMISSION; NETWORKS; DYNAMICS; XINJIANG;

D O I：

10.1016/j.matcom.2024.04.002

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a model with spatial diffusion and mixed delays is presented to describe the spread of echinococcosis between dogs and livestock. Firstly, the local stability is investigated using the Routh-Hurwitz criterion. Furthermore, when considering time delays as bifurcation parameters, the conditions for the occurrence of Hopf bifurcation are discussed based on the linear approximation of the nonlinear system. Lastly, the fixed -time stability is studied under the implementation of appropriate control measures. Numerical simulations are provided to give a better understanding of the theoretical results.

引用

页码：1 / 19

页数：19

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