Codimension-two bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response

被引：23

作者：

Chen, Qiaoling ^{[1
]}

Teng, Zhidong ^{[2
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian, Shaanxi, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2017年 / 23卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Discrete predator-prey model; codimension-2; bifurcations; chaos; maximum Lyapunov exponents; LOTKA-VOLTERRA SYSTEMS; GROUP DEFENSE; PERIODIC-SOLUTIONS; EPIDEMIC MODEL; PERMANENCE; RESONANCE; EXISTENCE; DYNAMICS;

D O I：

10.1080/10236198.2017.1395418

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate dynamical behaviours of a discrete predator-prey model with nonmonotonic functional response. Codimension-2 bifurcations associated with 1: 2, 1: 3 and 1: 4 resonances are analyzed by using bifurcation theory. Codimension-2 bifurcation diagrams, maximum Lyapunov exponents diagrams and phase portraits, which not only illustrate the validity of the theoretical results but also display some interesting complex dynamical behaviours, are obtained by numerical simulations.

引用

页码：2093 / 2115

页数：23

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