Permanence and Hopf bifurcation of a delayed eco-epidemic model with Leslie-Gower Holling type III functional response

被引：3

作者：

Zhang, Zi Zhen ^{[1
]}

Cao, Chun ^{[1
]}

Kundu, Soumen ^{[2
]}

Wei, Ruibin ^{[1
]}

机构：

[1] Anhui Univ Finance & Econ, Sch Management Sci & Engn, Bengbu, Peoples R China

[2] Natl Inst Technol, Dept Math, Durgapur, India

来源：

SYSTEMS SCIENCE & CONTROL ENGINEERING | 2019年 / 7卷 / 01期

关键词：

Eco-epidemic model; Hopf bifurcation; permanence; time delay; PREDATOR-PREY MODEL; COMPLEX DYNAMICS; DISEASE; STABILITY; SYSTEM; PERSISTENCE; INFECTION;

D O I：

10.1080/21642583.2019.1649217

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 is concerned with a delayed eco-epidemic model with a Leslie-Gower Holling type III functional response. The main results are given in terms of permanence and Hopf bifurcation. First of all, sufficient conditions for permanence of the model are established. Directly afterward, sufficient conditions for local stability and existence of Hopf bifurcation are obtained by regarding the delay as bifurcation parameter. Finally, properties of the Hopf bifurcation are investigated with the aid of the normal form theory and centre manifold theorem. Numerical simulations are carried out to verify the obtained theoretical results.

引用

页码：276 / 288

页数：13

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