Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy

doi:10.1016/j.cam.2005.06.023

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	Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy
	Liu, B ; Teng, ZD ; Chen, LS
	2006-08-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	193 期号:1 页码:347-362
摘要	According to biological and chemical control strategy for pest control, we investigate the dynamic behavior of a Holling II functional response predator-prey system concerning impulsive control strategy-periodic releasing natural enemies and spraying pesticide at different fixed times. By using Floquet theorem and small amplitude perturbation method, we prove that there exists a stable pest-eradication periodic solution when the impulsive period is less than some critical value. Further, the condition for the permanence of the system is also given. Numerical results show that the system we consider can take on various kinds of periodic fluctuations and several types of attractor coexistence and is dominated by periodic, quasiperiodic and chaotic solutions, which implies that the presence of pulses makes the dynamic behavior more complex. Finally, we conclude that our impulsive control strategy is more effective than the classical one if we take chemical control efficiently. (c) 2005 Elsevier B.V. All rights reserved.
关键词	Holling II predator-prey model impulsive control strategy extinction permanence bifurcation
DOI	10.1016/j.cam.2005.06.023
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000237824200021
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3366
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, B
作者单位	1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China 2.Xinjiang Univ, Coll Math & Syst Sci, Xinjiang 830046, Peoples R China 3.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, B,Teng, ZD,Chen, LS. Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,193(1):347-362.
APA	Liu, B,Teng, ZD,&Chen, LS.(2006).Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,193(1),347-362.
MLA	Liu, B,et al."Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 193.1(2006):347-362.