Asymptotic behavior of an unstirred chemostat model with internal inhibitor

DOI10.1016/j.jmaa.2007.01.014zbMath1178.35195OpenAlexW2040680154MaRDI QIDQ996871

Hua Nie, Jian-hua Wu

Publication date: 19 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.014

zbMATH Keywords

stabilityasymptotic behaviorperturbation theorychemostatmonotone system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Population dynamics (general) (92D25) Degree theory for nonlinear operators (47H11) Abstract bifurcation theory involving nonlinear operators (47J15) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (13)

Coexistence of an unstirred chemostat model with B-D functional response by fixed point index theory ⋮ Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response ⋮ Multiple coexistence solutions to the unstirred chemostat model with plasmid and toxin ⋮ Coexistence and stability of an unstirred chemostat model with Beddington-DeAngelis function ⋮ Uniqueness and multiplicity of a prey-predator model with predator saturation and competition ⋮ The effect of parameters on positive solutions and asymptotic behavior of an unstirred chemostat model with B-D functional response ⋮ Positive solutions to the unstirred chemostat model with Crowley-Martin functional response ⋮ Uniqueness and stability for coexistence solutions of the unstirred chemostat model ⋮ Coexistence of an unstirred chemostat model with Beddington-DeAngelis functional response and inhibitor ⋮ Competition for one resource with internal storage and inhibitor in an unstirred chemostat ⋮ Dynamics and steady-state analysis of an unstirred chemostat model with internal storage and toxin mortality ⋮ Positive solutions of a competition model for two resources in the unstirred chemostat ⋮ Bifurcation from a double eigenvalue in the unstirred chemostat

Cites Work

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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
• Analysis of a Model of Two Competitors in a Chemostat with an External Inhibitor
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• A SYSTEM OF REACTION–DIFFUSION EQUATIONS IN THE UNSTIRRED CHEMOSTAT WITH AN INHIBITOR
• A system of resource-based growth models with two resources in the unstirred chemostat

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