The dynamics of a prey-dependent consumption model concerning impulsive control strategy

doi:10.1016/j.amc.2004.09.053

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	The dynamics of a prey-dependent consumption model concerning impulsive control strategy
	Liu, B ; Chen, LS ; Zhang, YJ
	2005-10-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	169 期号:1 页码:305-320
摘要	A mathematical model for dynamics of a prey-dependent consumption model concerning impulsive control strategy is proposed and analyzed. We show that there exists a globally stable pest-eradication periodic solution when the impulsive period is less than some critical values. Further, the Conditions for the permanence of system are given. We show the existence of nontrivial periodic Solution if the pest-eradication periodic solution loses its stability. When the Unique positive periodic solution lose its Stability, numerical simulation Shows there is a characteristic sequence of bifurcations, leading to a chaotic dynamics, which implies that the impulsive control model we considered has more complex dynamics including period-doubling bifurcation, symmetry-breaking bifurcation, period-halving bifurcation, quasi-periodic oscillation and chaos. (c) 2004 Elsevier Inc. All rights reserved.
关键词	biological and chemical control prey-dependent consumption model impulsive effect permanence chaos
DOI	10.1016/j.amc.2004.09.053
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000232698000022
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1066
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, Dept Math, Urumqi 830046, Xinjiang, 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,Chen, LS,Zhang, YJ. The dynamics of a prey-dependent consumption model concerning impulsive control strategy[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,169(1):305-320.
APA	Liu, B,Chen, LS,&Zhang, YJ.(2005).The dynamics of a prey-dependent consumption model concerning impulsive control strategy.APPLIED MATHEMATICS AND COMPUTATION,169(1),305-320.
MLA	Liu, B,et al."The dynamics of a prey-dependent consumption model concerning impulsive control strategy".APPLIED MATHEMATICS AND COMPUTATION 169.1(2005):305-320.