Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control

被引：9
作者：
Dai, Chuanjun [1 ]
Zhao, Min [2 ]
Chen, Lansun [3 ]
机构：
[1] Wenzhou Univ, Sch Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China
[2] Wenzhou Univ, Sch Life & Environm Sci, Wenzhou 325035, Zhejiang, Peoples R China
[3] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
中国国家自然科学基金;
关键词：
PERIODIC-SOLUTION; MODEL; BIFURCATION; EXISTENCE;
D O I：
10.1155/2012/534276
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamic complexities of an Ivlev-type prey-predator system with impulsive state feedback control are studied analytically and numerically. Using the analogue of the Poincare criterion, sufficient conditions for the existence and the stability of semitrivial periodic solutions can be obtained. Furthermore, the bifurcation diagrams and phase diagrams are investigated by means of numerical simulations, which illustrate the feasibility of the main results presented here.
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页数：17
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