Nonlinear Dynamical Behaviour in a Predator-Prey Model with Harvesting

被引：3
|
作者：
Liu, Wei [1 ,2 ]
Jiang, Yaolin [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
[2] Xinyu Univ, Sch Math & Comp Sci, Xinyu 338004, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2017年 / 7卷 / 02期
关键词：
Predator-prey system; Holling type IV functional response; periodic solution; bifurcation; Lyapunov function; SYSTEM; BIFURCATION; DELAY;
D O I：
10.4208/eajam.020916.250217a
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the stability and periodic orbits of a predator-prey model with harvesting. The model has a biologically-meaningful interior, an attractor undergoing damped oscillations, and can become destabilised to produce periodic orbits via a Hopf bifurcation. Some sufficient conditions for the existence of the Hopf bifurcation are established, and a stability analysis for the periodic solutions using a Lyapunov function is presented. Finally, some computer simulations illustrate our theoretical results.
引用
收藏
页码：376 / 395
页数：20
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