The dynamics of an impulsive delay predator-prey model with variable coefficients

doi:10.1016/j.amc.2007.08.075

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	The dynamics of an impulsive delay predator-prey model with variable coefficients
	Meng, Xin-zhu 1; Chen, Lan-Sun 2; Li, Qing-xue 3
	2008-04-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	198 期号:1 页码:361-374
摘要	In this paper, we formulate a new robust two-species nonautonomous predator - prey model with multi-delays and impulsive effects and perform a systematic mathematical and ecological study. Our results in this paper indicate that under the appropriate linear periodic impulsive perturbations, the system is permanent and has a unique positive globally attractive semi-trivial periodic solution. By using the Brouwer fixed point theorem, we prove that if the periodic system is permanent, then there is at least one positive periodic solution of the system. We show that the conditions for global attractivity of the positive semi-trivial periodic solution and permanence of the population of the model depend on time delay, so, we call it "profitless''. In this paper, the main feature is that we introduce multi-delays and impulses into the predator - prey model, exhibit a new modeling method which is applied to investigate multi-species impulsive multi-delays differential equations. (c) 2007 Elsevier Inc. All rights reserved.
关键词	permanence impulsive effects predator-prey model time delays global attractivity periodic solution
DOI	10.1016/j.amc.2007.08.075
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000254254300033
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/6571
专题	中国科学院数学与系统科学研究院
通讯作者	Meng, Xin-zhu
作者单位	1.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China 2.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Shandong Univ Sci & Technol, Foreign Languages Coll, Qingdao 266510, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xin-zhu,Chen, Lan-Sun,Li, Qing-xue. The dynamics of an impulsive delay predator-prey model with variable coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,198(1):361-374.
APA	Meng, Xin-zhu,Chen, Lan-Sun,&Li, Qing-xue.(2008).The dynamics of an impulsive delay predator-prey model with variable coefficients.APPLIED MATHEMATICS AND COMPUTATION,198(1),361-374.
MLA	Meng, Xin-zhu,et al."The dynamics of an impulsive delay predator-prey model with variable coefficients".APPLIED MATHEMATICS AND COMPUTATION 198.1(2008):361-374.