文章基本信息

标题：Existence and stability of positive steady-state solutions for a Lotka-Volterrasystem with intraspecific competition
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作者：Meihua Wei ; Jinyong Chang ; Lan Qi 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：159
DOI：10.1186/1687-1847-2014-159
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate the existence and stability of the positivesteady-state solutions for a Lotka-Volterra system with intraspecific competition byusing the Lyapunov-Schmidt reduction technique. To do this, we must firstly obtainthe semi-trivial steady states as their base, which extend the method used in theprevious studies. Our results show that the two competition species withintraspecific competition can coexist for bigger regions of the diffusion rateμ and also complete the existing works. MSC: 35K57.
关键词：steady-state solutions ; Lyapunov-Schmidt reduction technique ; existence ; stability