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Analysis of Bifurcation and Stability on Solutions of a Lotka-Volterra Ecological System with Cubic Functional Responses and Diffusion 被引量：1

Analysis of Bifurcation and Stability on Solutions of a Lotka-Volterra Ecological System with Cubic Functional Responses and Diffusion
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摘要 This paper deals with a Lotka-Volterra ecological competition system with cubic functional responses and diffusion. We consider the stability of semitrivial solutions by using spectrum analysis. Taking the growth rate as a bifurcation parameter and using the bifurcation theory, we discuss the existence and stability of the bifurcating solutions which emanate from the semi-trivial solutions. This paper deals with a Lotka-Volterra ecological competition system with cubic functional responses and diffusion. We consider the stability of semitrivial solutions by using spectrum analysis. Taking the growth rate as a bifurcation parameter and using the bifurcation theory, we discuss the existence and stability of the bifurcating solutions which emanate from the semi-trivial solutions.
作者 JIA YUN-FENG Vu JIAN-HUA Xu HONG-KUN
机构地区 College of Mathematics and Information Science Department of Applied Mathematics
出处 《Communications in Mathematical Research》 CSCD 2012年第2期127-136,共10页 数学研究通讯（英文版）
基金 supported partly by the NSF (10971124,11001160) of China NSC (972628-M-110-003-MY3) (Taiwan) the Fundamental Research Funds (GK201002046) for the Central Universities
关键词 Lotka-Volterra ecological system STABILITY bifurcating solution Lotka-Volterra ecological system, stability, bifurcating solution
分类号 O121.5 [理学—基础数学] Q141 [生物学—生态学]
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Communications in Mathematical Research
2012年 第2期

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