Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches

doi:10.1016/j.matcom.2009.07.008

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	Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches
	Jiao, Jianjun 1,2; Yang, Xiaosong 1; Cai, Shaohong 2; Chen, Lansun 3
	2009-11-01
发表期刊	MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN	0378-4754
卷号	80 期号:3 页码:522-532
摘要	In this work, we propose a delayed predator-prey model with impulsively diffusive prey between two patches. Using the stroboscopic map of the discrete dynamical system, we obtain the globally attractive condition of predator-extinction periodic solution of the system. We also obtain the permanent condition of the system by the theory of impulsive delay differential equation. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the system. Finally, the numerical analysis is inserted to illustrate the results. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Predator-prey model Impulsive diffusion Extinction Permanent
DOI	10.1016/j.matcom.2009.07.008
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[2008J2250]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000272921100004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8974
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.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China 2.Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiao, Jianjun,Yang, Xiaosong,Cai, Shaohong,et al. Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2009,80(3):522-532.
APA	Jiao, Jianjun,Yang, Xiaosong,Cai, Shaohong,&Chen, Lansun.(2009).Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches.MATHEMATICS AND COMPUTERS IN SIMULATION,80(3),522-532.
MLA	Jiao, Jianjun,et al."Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches".MATHEMATICS AND COMPUTERS IN SIMULATION 80.3(2009):522-532.