Existence and asymptotic behavior of solutions for the unstirred chemostat model with ratio-dependent function

DOI10.1007/S10440-019-00264-2zbMath1439.35253OpenAlexW2945706388MaRDI QIDQ2307481

Wen-Bin Yang

Publication date: 24 March 2020

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-019-00264-2

zbMATH Keywords

asymptotic behaviorchemostat modelsteady-state solutionratio-dependent function

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (1)

Bifurcation analysis and pattern formation of predator-prey dynamics with Allee effect in predator population

Cites Work

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• Dynamics of a food chain model with ratio-dependent and modified Leslie-Gower functional responses
• Coexistence and stability of an unstirred chemostat model with Beddington-DeAngelis function
• Coexistence of an unstirred chemostat model with Beddington-DeAngelis functional response and inhibitor
• Coexistence in the unstirred chemostat
• Global bifurcation of coexistence state for the competition model in the chemostat
• Multiplicity results for the unstirred chemostat model with general response functions
• On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
• Strict Monotonicity of Eigenvalues and Unique Continuation
• The Theory of the Chemostat

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