Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches

doi:10.1016/j.nonrwa.2009.09.022

CSpace

	Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches
	Jiao, Jianjun 1; Chen, Lansun 2; Cai, Shaohong 1; Wang, Limin 3
	2010-08-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	11 期号:4 页码:2748-2756
摘要	In this work, we propose a stage-structured predator-prey model, with prey impulsively diffusing between two patches. Using the discrete dynamical system determined by the stroboscopic map, we obtain a predator-extinction periodic solution. Further, the predator-extinction periodic solution is globally attractive. By the theory on the delay and impulsive differential equation, we prove that the investigated system is permanent. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the investigated system. (C) 2009 Elsevier Ltd. All rights reserved.
关键词	Predator-prey model Impulsive diffusion Permanent Predator-extinction
DOI	10.1016/j.nonrwa.2009.09.022
语种	英语
资助项目	National Natural Science Foundation of China[10961008] ; Natural Science Foundation of Guizhou Education Department[2008038] ; Nomarch Foundation of Guizhou Province[2008035] ; Science Technology Foundation of Guizhou Province[2008J2250]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000279524300053
出版者	PERGAMON-ELSEVIER SCIENCE 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/10679
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 Sinica, Inst Math, Beijing 100080, Peoples R China 3.Dalian Jiaotong Univ, Dept Math & Phys, Dalian 116028, Peoples R China
推荐引用方式 GB/T 7714	Jiao, Jianjun,Chen, Lansun,Cai, Shaohong,et al. Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2010,11(4):2748-2756.
APA	Jiao, Jianjun,Chen, Lansun,Cai, Shaohong,&Wang, Limin.(2010).Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,11(4),2748-2756.
MLA	Jiao, Jianjun,et al."Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 11.4(2010):2748-2756.