Multiple coexistence solutions to the unstirred chemostat model with plasmid and toxin

DOI10.1017/S0956792514000096zbMath1329.92083MaRDI QIDQ2935527

Hua Nie, Jian-hua Wu

Publication date: 30 December 2014

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

multiplicityperturbation theorychemostat modelplasmid

Mathematics Subject Classification ID

Physiological, cellular and medical topics (92C99)

Related Items (9)

Competition between two similar species in the unstirred chemostat ⋮ Qualitative analysis on positive steady-state solutions for an autocatalysis model with high order ⋮ Existence and stability of coexistence states in a competition unstirred chemostat ⋮ A competition model with dynamically allocated toxin production in the unstirred chemostat ⋮ Positive solutions to the unstirred chemostat model with Crowley-Martin functional response ⋮ Spatial dynamics of a nonlocal delayed unstirred chemostat model with periodic input ⋮ Competition for one resource with internal storage and inhibitor in an unstirred chemostat ⋮ The Effect of Diffusion on the Dynamics of a Predator-Prey Chemostat Model ⋮ Crowding effects on coexistence solutions in the unstirred chemostat

Cites Work

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• Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat
• A survey of mathematical models of competition with an inhibitor.
• Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor
• Global bifurcation of coexistence state for the competition model in the chemostat
• On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
• Strict Monotonicity of Eigenvalues and Unique Continuation
• Analysis of a Model of Two Competitors in a Chemostat with an External Inhibitor
• The Effect of Inhibitor on the Plasmid‐Bearing and Plasmid‐Free Model in the Unstirred Chemostat
• A SYSTEM OF REACTION–DIFFUSION EQUATIONS IN THE UNSTIRRED CHEMOSTAT WITH AN INHIBITOR
• Competition in the presence of a lethal external inhibitor

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