ANALYSIS OF A PREDATOR-PREY MODEL WITH PREDATORS IMPULSIVELY DIFFUSING BETWEEN TWO PATCHES

doi:10.3934/dcdsb.2010.14.1081

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	ANALYSIS OF A PREDATOR-PREY MODEL WITH PREDATORS IMPULSIVELY DIFFUSING BETWEEN TWO PATCHES
	Jiao, Jianjun 1; Chen, Lansun 2
	2010-10-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	14 期号:3 页码:1081-1094
摘要	In this work, a predator-prey model with predators impulsively diffusing between two patches is investigated. By the stroboscopic map of the discrete dynamical system, the prey-extinction periodic solution of the investigated system is proved to be globally asymptotically stable. By the theory of impulsive differential equation, the investigated system is also proved to be permanent. Finally, the numerical simulation is inserted to illustrate the results.
关键词	Predator-prey model Impulsive diffusion Extinction Permanence
DOI	10.3934/dcdsb.2010.14.1081
语种	英语
资助项目	National Natural Science Foundation of China[10961008] ; Nomarch Foundation of Guizhou Province[2008035] ; Science Technology Foundation of Guizhou[2010J2130]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000280382700011
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10102
专题	中国科学院数学与系统科学研究院
通讯作者	Jiao, Jianjun
作者单位	1.Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Sch Math & Stat, Guiyang 550004, Peoples R China 2.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiao, Jianjun,Chen, Lansun. ANALYSIS OF A PREDATOR-PREY MODEL WITH PREDATORS IMPULSIVELY DIFFUSING BETWEEN TWO PATCHES[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2010,14(3):1081-1094.
APA	Jiao, Jianjun,&Chen, Lansun.(2010).ANALYSIS OF A PREDATOR-PREY MODEL WITH PREDATORS IMPULSIVELY DIFFUSING BETWEEN TWO PATCHES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,14(3),1081-1094.
MLA	Jiao, Jianjun,et al."ANALYSIS OF A PREDATOR-PREY MODEL WITH PREDATORS IMPULSIVELY DIFFUSING BETWEEN TWO PATCHES".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 14.3(2010):1081-1094.