Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response

被引：6

作者：

Wang, Yanzhen ^{[2
]}

Zhao, Min ^{[1
]}

机构：

[1] Wenzhou Univ, Sch Life & Environm Sci, Wenzhou 325035, Zhejiang, Peoples R China

[2] Wenzhou Univ, Sch Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2012年 / 2012卷

基金：

中国国家自然科学基金;

关键词：

HOST-PARASITOID MODEL; FOOD-CHAIN MODEL; CONTROL STRATEGY; PERIODIC-SOLUTION; ECOLOGICAL MODEL; SYSTEM; PERTURBATIONS; CHAOS; COMPLEXITY; STABILITY;

D O I：

10.1155/2012/141272

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The dynamic behavior of a predator-prey model with Holling type IV functional response is investigated with respect to impulsive control strategies. The model is analyzed to obtain the conditions under which the system is locally asymptotically stable and permanent. Existence of a positive periodic solution of the system and the boundedness of the system is also confirmed. Furthermore, numerical analysis is used to discover the influence of impulsive perturbations. The system is found to exhibit rich dynamics such as symmetry-breaking pitchfork bifurcation, chaos, and nonunique dynamics.

引用

页数：18

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