Global dynamics of a predator-prey model with defense mechanism for prey

被引：68
|
作者：
Xu, Chaoqun [1 ,2 ]
Yuan, Sanling [2 ]
Zhang, Tonghua [3 ]
机构：
[1] Univ Shanghai Sci & Technol, Sch Management, Shanghai 200093, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[3] Swinburne Univ Technol, Dept Math, Hawthorn, Vic 3122, Australia
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 62卷
基金：
中国国家自然科学基金;
关键词：
Predator-prey model; Defense mechanism; Extinction domain; Limit cycle; Global dynamics; FUNCTIONAL-RESPONSE; HERD BEHAVIOR;
D O I：
10.1016/j.aml.2016.06.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Venturino and Petrovskii proposed a general predator prey model with group defense for prey species (Venturino and Petrovskii, 2013). The local dynamics had been studied and showed that the model might undergo Hopf bifurcation, and have an extinction domain. In this paper, we dedicate ourselves to the investigation of the global dynamics of the model by establishing the conditions of the nonexistence of periodic orbits, and the existence and uniqueness of limit cycles. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：42 / 48
页数：7
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