Lotka-Volterra System with Volterra Multiplier

doi:10.1007/978-1-4419-7046-6_66

CSpace

	Lotka-Volterra System with Volterra Multiplier
	Guerlebeck, Klaus 2; Ji, Xihhua 1
	2011
发表期刊	SOFTWARE TOOLS AND ALGORITHMS FOR BIOLOGICAL SYSTEMS
ISSN	0065-2598
卷号	696 页码:647-655
摘要	With the aid of Volterra multiplier, we study ecological equations for both tree system and cycle system. We obtain a set of sufficient conditions for the ultimate boundedness to nonautonomous n-dimensional Lotka-Volterra tree systems with continuous time delay. The criteria are applicable to cooperative model, competition model, and predator prey model. As to cycle system, we consider a three-dimensional predator prey Lotka-Volterra system. In order to get a condition under which the system is globally asymptotic stable, we obtain a Volterra multiplier,. so that in a parameter region the system is with the Volterra multiplier it is globally stable. We have also proved that in regions in which the condition is not satisfied, the system is unstable or at least it is not globally stable. Therefore, we say that the three-dimensional cycle system is with global bifurcation.
关键词	Volterra Multiplier Ecological Equations Lotka-Volterra Tree Systems 3D Predator-Prey Cycle System
DOI	10.1007/978-1-4419-7046-6_66
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology ; Research & Experimental Medicine
WOS类目	Biology ; Mathematical & Computational Biology ; Medicine, Research & Experimental
WOS记录号	WOS:000289694000066
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12988
专题	中国科学院数学与系统科学研究院
通讯作者	Ji, Xihhua
作者单位	1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China 2.Bauhaus Univ Weimar, D-99421 Weimar, Germany
推荐引用方式 GB/T 7714	Guerlebeck, Klaus,Ji, Xihhua. Lotka-Volterra System with Volterra Multiplier[J]. SOFTWARE TOOLS AND ALGORITHMS FOR BIOLOGICAL SYSTEMS,2011,696:647-655.
APA	Guerlebeck, Klaus,&Ji, Xihhua.(2011).Lotka-Volterra System with Volterra Multiplier.SOFTWARE TOOLS AND ALGORITHMS FOR BIOLOGICAL SYSTEMS,696,647-655.
MLA	Guerlebeck, Klaus,et al."Lotka-Volterra System with Volterra Multiplier".SOFTWARE TOOLS AND ALGORITHMS FOR BIOLOGICAL SYSTEMS 696(2011):647-655.