Hopf bifurcation for a predator-prey model with age structure

被引：5

作者：

Yan, Dongxue ^{[1
]}

Cao, Hui ^{[2
]}

Xu, Xiaxia ^{[3
]}

Wang, Xiaoqin ^{[2
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Jiangsu, Peoples R China

[2] Shaanxi Univ Sci & Technol, Dept Math, Xian 710021, Shaanxi, Peoples R China

[3] Xian Univ Technol, Sch Sci, Xian 710048, Shaanxi, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 526卷

基金：

中国国家自然科学基金;

关键词：

Age-structured model; Co-semigroup; Asymptotical stability; Hopf bifurcation; EPIDEMIC MODEL; DYNAMICS; SYSTEM;

D O I：

10.1016/j.physa.2019.04.189

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper deals with a prey-predator model with age structure where the prey population is infected with pathogenic bacteria. We formulate the model as an abstract non-densely defined Cauchy problem and derive the conditions for the existence of all the feasible equilibrium points of the system. The criteria for global stability of two boundary equilibria are obtained. The criteria for local stability and instability of positive equilibrium is also discussed. Bifurcation analysis indicates that the predator prey system with age structure exhibits bifurcation which is the main result of this paper. Finally, some numerical examples are provided to illustrate our obtained results. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：15

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