Coexistence solutions for a reaction--diffusion system of un-stirred chemostat model

DOI10.1016/S0096-3003(02)00732-4zbMath1026.92048MaRDI QIDQ1412473

Jing Liu, Sining Zheng

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

fixed point indexreaction-diffusiondegree theorychemostatsteady state

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) Reaction-diffusion equations (35K57) Ecology (92D40) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (5)

A food chain model for two resources in un-stirred chemostat ⋮ Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates ⋮ Positive solutions to the unstirred chemostat model with Crowley-Martin functional response ⋮ A competition model for two resources in un-stirred chemostat ⋮ Coexistence solutions and their stability of an unstirred chemostat model with toxins

Cites Work

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• Coexistence of competing predators in a chemostat
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• On Positive Solutions of Some Pairs of Differential Equations
• On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
• Strict Monotonicity of Eigenvalues and Unique Continuation
• Positive solutions for a three-species competition system with diffusion—I. General existence results

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