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Bogdanov-Takens Bifurcation in a Leslie-Gower Predator-prey Model with Prey Harvesting

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成果类型:
期刊论文
作者:
Gong, Yi-jun*;Huang, Ji-cai
通讯作者:
Gong, Yi-jun
作者机构:
[Gong, Yi-jun; Huang, Ji-cai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Gong, Yi-jun] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Leslie-Gower predator-prey model;Bogdanov-Takens bifurcation;limit cycle;homoclinic loop
关键词(中文):
Hopf分岔;收获率;捕食者;模型;猎物;被捕食;捕食系统;动力系统
期刊:
应用数学学报:英文版
ISSN:
0168-9673
年:
2014
卷:
30
期:
1
页码:
239-244
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11101170]; Research Project of the Central China Normal University [CCNU12A01007]; State Scholarship Fund of the China Scholarship CouncilChina Scholarship Council [2011842509]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
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. © 2014 Institute of Applied Mathematics, Academy of Mathematics and System Scienc...

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