Existence and stability of coexistence states in a competition unstirred chemostat

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• 作者：Hailong Yuan ; Conghui Zhang ; Yanling Li ; ^{yanlingl@snnu.edu.cn}
• 关键词：Existence ; Stability ; Lyapunov&ndash ; Schmidt reduction ; Chemostat
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：35
• 期：Complete
• 页码：441-456
• 全文大小：615 K
• 卷排序：35

文摘

In this paper, we consider the two similar competing species in a competition unstirred chemostat model with diffusion. The two competing species are assumed to be identical except for their maximal growth rates. In particular, we study the existence and stability of the coexistence states, and the semi-trivial equilibria or the unique coexistence state is the global attractor can be established under some suitable conditions. Our mathematical approach is based on Lyapunov–Schmidt reduction, the implicit function theory and spectral theory.