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Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior

被引：6
|
作者：
Xu, Chaoqun [1 ]
Yuan, Sanling [1 ]
机构：
[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金;
关键词：
MODIFIED LESLIE-GOWER; PERIODIC-SOLUTIONS; QUALITATIVE-ANALYSIS; MODEL; DYNAMICS;
D O I：
10.1155/2014/568943
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A special predator-prey system is investigated in which the prey population exhibits herd behavior in order to provide a self-defense against predators, while the predator is intermediate and its population shows individualistic behavior. Considering the fact that there always exists a time delay in the conversion of the biomass of prey to that of predator in this system, we obtain a delayed predator-prey model with square root functional response and quadratic mortality. For this model, we mainly investigate the stability of positive equilibrium and the existence of Hopf bifurcation by choosing the time delay as a bifurcation parameter.
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页数：8
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