Dynamic Complexities of a Three-Species Beddington-DeAngelis System with Impulsive Control Strategy

被引：19
|
作者：
Baek, Hunki [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 01期
关键词：
Impulsive differential equations; Three-species food systems; Beddington-DeAngelis functional response; Floquet theory; PREDATOR-PREY SYSTEM; INTEGRATED PEST-MANAGEMENT; II FUNCTIONAL-RESPONSE; FOOD-CHAIN MODEL; CHAOTIC BEHAVIOR; PERTURBATIONS; INTERFERENCE;
D O I：
10.1007/s10440-008-9378-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By introducing the impulsive control strategy, the dynamical properties of the three-species food chain systems with Beddington-DeAngelis functional response are investigated. Using the Floquet theory of impulsive differential equations and small amplitude perturbation techniques, we prove that there exists an asymptotically locally stable prey-free periodic solution under some conditions, and permanence conditions are established via the comparison theorem. Furthermore, from numerical examples, we figure out that the system has complex dynamic behaviors.
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页码：23 / 38
页数：16
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