Hopf bifurcation for a predator-prey model with age structure

被引：32
|
作者：
Tang, Hui [1 ]
Liu, Zhihua [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 02期
关键词：
Predator-prey model; Age structure; Non-densely defined; Hopf bifurcation; CAUCHY-PROBLEMS; POPULATIONS; STABILITY; DYNAMICS;
D O I：
10.1016/j.apm.2015.09.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A predator-prey model is investigated in which the predator population is assumed to have an age structure. We formulate the model as an abstract non-densely defined Cauchy problem and derive the condition which guarantees the existence and uniqueness of positive age-dependent equilibrium for the model. Bifurcation analysis indicates that the predator-prey system with age structure exhibits Hopf bifurcation which is the main result of this paper. Numerical simulations are given to illustrate the given results. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：726 / 737
页数：12
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