Hopf bifurcation and stability for predator-prey systems with Beddington-DeAngelis type functional response and stage structure for prey incorporating refuge

被引：46

作者：

Wei, Fengying ^{[1
]}

Fu, Qiuyue ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hopf bifurcation; Predator-prey model; Delay; Beddington-DeAngelis functional response; Refuge; TIME-DELAY; GLOBAL STABILITY; MODEL;

D O I：

10.1016/j.apm.2015.04.042

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A kind of stage-structured predator-prey model with Beddington-DeAngelis functional response incorporating a prey refuge is investigated in this paper. By analyzing the corresponding characteristic equations, the local stability of the equilibria is investigated. Moreover, Hopf bifurcations occur at the positive equilibrium as the delay 2 crosses some critical values. Further, the influence of prey refuge on densities of predator species and prey species is investigated. Numerical simulations are carried out to illustrate our main results. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：126 / 134

页数：9

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