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

文献类型：期刊论文

作者Tang, Sanyi; Chen, Lansun
刊名JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY
出版日期2002-09-01
卷号2期号:3-4页码:267-296
关键词Predator-prey system impulsive effect coincidence degree bifurcation persistence biological control
ISSN号0219-5194
DOI10.1142/S021951940200040X
英文摘要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.
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
语种英语
WOS记录号WOS:000208564400004
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/17189]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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