Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting

被引：0
|
作者：
Yi-jun Gong
Ji-cai Huang
机构：
[1] Central China Normal University,School of Mathematics and Statistics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2014年 / 30卷
关键词：
Leslie-Gower predator-prey model; Bogdanov-Takens bifurcation; limit cycle; homoclinic loop; 34C25; 34C23; 37N25; 92D25;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper discuss the cusp bifurcation of codimension 2 (i.e. Bogdanov-Takens bifurcation) in a Leslie-Gower predator-prey model with prey harvesting, which was not revealed by Zhu and Lan [Phase portraits, Hopf bifurcation and limit cycles of Leslie-Gower predator-prey systems with harvesting rates, Discrete and Continuous Dynamical Systems Series B. 14(1) (2010), 289–306]. It is shown that there are different parameter values for which the model has a limit cycle or a homoclinic loop.
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页码：239 / 244
页数：5
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