THE PERIODIC PREDATOR-PREY LOTKA-VOLTERRA MODEL WITH IMPULSIVE EFFECT

doi:10.1142/S021951940200040X

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	THE PERIODIC PREDATOR-PREY LOTKA-VOLTERRA MODEL WITH IMPULSIVE EFFECT
	Tang, Sanyi; Chen, Lansun
	2002-09-01
发表期刊	JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY
ISSN	0219-5194
卷号	2 期号:3-4 页码:267-296
摘要	In this paper, a classical periodic Lotka-Volterra predator-prey system with impulsive effect is investigated. We analyze the dynamics of positive solutions of such models. Among other results we show that if some trivial or semi-trivial positive solution is linearly stable, then it is globally asymptotically stable with respect to the positive solutions. By using the method of coincidence degree, a set of sufficient conditions are derived for the existence of at least one strictly positive (componentwise) periodic solution. We use bifurcation theorem to show the existence of coexistence states which arise near the semi-trivial periodic solution. As an application, we also examine some special cases of the system which can be used in the biological pest control.
关键词	Predator-prey system impulsive effect coincidence degree bifurcation persistence biological control
DOI	10.1142/S021951940200040X
语种	英语
资助项目	National Science Foundation of China[10171106] ; National Science Foundation, University of Jiangsu Province[02KJB110004]
WOS研究方向	Biophysics ; Engineering
WOS类目	Biophysics ; Engineering, Biomedical
WOS记录号	WOS:000208564400004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17190
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, Sanyi
作者单位	Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, Sanyi,Chen, Lansun. THE PERIODIC PREDATOR-PREY LOTKA-VOLTERRA MODEL WITH IMPULSIVE EFFECT[J]. JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY,2002,2(3-4):267-296.
APA	Tang, Sanyi,&Chen, Lansun.(2002).THE PERIODIC PREDATOR-PREY LOTKA-VOLTERRA MODEL WITH IMPULSIVE EFFECT.JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY,2(3-4),267-296.
MLA	Tang, Sanyi,et al."THE PERIODIC PREDATOR-PREY LOTKA-VOLTERRA MODEL WITH IMPULSIVE EFFECT".JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY 2.3-4(2002):267-296.