Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments

doi:10.1016/j.nonrwa.2011.01.005

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	Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments
	Jiao, Jianjun 1; Cai, Shaohong 1; Chen, Lansun 2
	2011-08-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	12 期号:4 页码:2232-2244
摘要	In this work, we consider a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments. Firstly, we prove that all solutions of the investigated system are uniformly ultimately bounded. Secondly, the conditions of the globally asymptotically stable prey-extinction boundary periodic solution of the investigated system are obtained. Thirdly, the permanence of the investigated system is also obtained. Finally, numerical analysis is inserted to illustrate the results. Our results provide reliable tactic basis for the practical biological economics management. (C) 2011 Elsevier Ltd. All rights reserved.
关键词	Predator-prey system Birth pulse Impulsive harvesting Extinction Permanence
DOI	10.1016/j.nonrwa.2011.01.005
语种	英语
资助项目	National Natural Science Foundation of China[10961008] ; Nature Science Research of Guizhou Province Department[2010027] ; Science Technology Foundation of Guizhou[2010J2130]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000291196000031
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/12528
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. Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2011,12(4):2232-2244.
APA	Jiao, Jianjun,Cai, Shaohong,&Chen, Lansun.(2011).Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,12(4),2232-2244.
MLA	Jiao, Jianjun,et al."Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 12.4(2011):2232-2244.