Global dynamics of the chemostat with different removal rates and variable yields

DOI10.3934/mbe.2011.8.827zbMath1260.92121OpenAlexW2077565682WikidataQ51557843 ScholiaQ51557843MaRDI QIDQ1942490

Tewfik Sari, Frederic Mazenc

Publication date: 19 March 2013

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2011.8.827

zbMATH Keywords

Lyapunov functionglobal asymptotic stabilitycompetitive exclusion principlevariable yield model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (19)

A competition model in the chemostat with allelopathy and substrate inhibition ⋮ Competition in the chemostat with time-dependent differential removal rates ⋮ Periodic solution and extinction in a periodic chemostat model with delay in microorganism growth ⋮ Competition for a single resource and coexistence of several species in the chemostat ⋮ Competition in the chemostat: a stochastic multi-species model and its asymptotic behavior ⋮ Performance study of two serial interconnected chemostats with mortality ⋮ Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients ⋮ Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy ⋮ Competitive exclusion for chemostat equations with variable yields ⋮ Permanence and extinction of a high-dimensional stochastic resource competition model with noise ⋮ The operating diagram for a model of competition in a chemostat with an external lethal inhibitor ⋮ The operating diagram of a model of two competitors in a chemostat with an external inhibitor ⋮ A density-dependent model of competition for one resource in the chemostat ⋮ Global analysis of a model of competition in the chemostat with internal inhibitor ⋮ Global behavior ofNcompeting species with strong diffusion: diffusion leads to exclusion ⋮ Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses ⋮ Competitive exclusion in a DAE model for microbial electrolysis cells ⋮ SINGULARLY PERTURBED ELLIPTIC SYSTEM MODELING THE COMPETITIVE INTERACTIONS FOR A SINGLE RESOURCE ⋮ A BIOLOGICAL PROCESS SUBJECT TO NONCOMPETITIVE SUBSTRATE INHIBITION IN A GENERALIZED FLOW REACTOR

This page was built for publication: Global dynamics of the chemostat with different removal rates and variable yields