Global qualitative analysis for a ratio-dependent predator-prey model with delay

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	Global qualitative analysis for a ratio-dependent predator-prey model with delay
	Tang, SY; Chen, LS
	2002-02-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	266 期号:2 页码:401-419
摘要	A ratio-dependent predator-prey model with time lag for predator is proposed and analyzed. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence, and stability are analyzed. We note that for a ratio-dependent system local asymptotic stability of the positive steady state does not even guarantee the so-called persistence of the system and, therefore, does not imply global asymptotic stability, It is found that an orbitally asymptotically stable periodic orbit exists in that model. Some sufficient conditions which guarantee the global stability of positive equilibrium are given. (C) 2002 Elsevier Science (USA).
关键词	global stability predator-prey system competitive systems delay
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000173914000010
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17068
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, SY
作者单位	Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, SY,Chen, LS. Global qualitative analysis for a ratio-dependent predator-prey model with delay[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2002,266(2):401-419.
APA	Tang, SY,&Chen, LS.(2002).Global qualitative analysis for a ratio-dependent predator-prey model with delay.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,266(2),401-419.
MLA	Tang, SY,et al."Global qualitative analysis for a ratio-dependent predator-prey model with delay".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 266.2(2002):401-419.