The periodic competing Lotka-Volterra model with impulsive effect

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	The periodic competing Lotka-Volterra model with impulsive effect
	Liu, B ; Chen, L
	2004-06-01
发表期刊	MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA
ISSN	1477-8599
卷号	21 期号:2 页码:129-145
摘要	In this paper, the dynamic behaviour of a classical periodic Lotka-Volterra competing system with impulsive effect is investigated. By applying the Floquet theory of linear periodic impulsive equations, some conditions are obtained for the linear stability of the trivial and semi-trivial periodic solutions. It is proved that the system can be permanent if all the trivial and semi-trivial periodic solutions are linearly unstable. We use standard bifurcation theory to show the existence of nontrivial periodic solutions which arise near the semi-trivial periodic solution. As an application, a fish harvest problem is considered. We explain how two competing species, one of which in a periodic environment without impulsive effect would be doomed to extinction, can coexist with suitably periodic impulsive harvesting.
关键词	competing system impulsive effect extinction coexistence bifurcation
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目	Biology ; Mathematical & Computational Biology
WOS记录号	WOS:000222293700004
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19230
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, B
作者单位	1.Anshan Normal Univ, Dept Math, Liaoning 114005, Peoples R China 2.Xinjiang Univ, Dept Math, Xinjiang 830046, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, B,Chen, L. The periodic competing Lotka-Volterra model with impulsive effect[J]. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA,2004,21(2):129-145.
APA	Liu, B,&Chen, L.(2004).The periodic competing Lotka-Volterra model with impulsive effect.MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA,21(2),129-145.
MLA	Liu, B,et al."The periodic competing Lotka-Volterra model with impulsive effect".MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA 21.2(2004):129-145.