DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION

doi:10.1142/S0218127411028507

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	DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION
	Jiao, Jianjun 1; Cai, Shaohong 1; Chen, Lansun 2
	2011-02-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	21 期号:2 页码:453-465
摘要	In this work, we consider a three-dimensional predator-prey model with impulsive harvesting and diffusion at different fixed moments. We prove that all solutions of the investigated system are uniformly ultimately bounded. The conditions of the globally asymptotically stable prey-extinction boundary periodic solution of the investigated system are obtained, as well the permanence of the investigated system. Finally, numerical analysis is inserted to illustrate the results which provide reliable tactic basis for the practical biological resource management.
关键词	Impulsive diffusion impulsive harvesting predator-prey model extinction permanence
DOI	10.1142/S0218127411028507
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 Education Department[2008038] ; Science Technology Foundation of Guizhou[2010J2130]
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000289468300006
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/12790
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, Sch Math & Stat, Guizhou Key Lab Econ Syst Simulat, 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,Cai, Shaohong,Chen, Lansun. DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2011,21(2):453-465.
APA	Jiao, Jianjun,Cai, Shaohong,&Chen, Lansun.(2011).DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,21(2),453-465.
MLA	Jiao, Jianjun,et al."DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 21.2(2011):453-465.