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A Lyapunov function for the chemostat with variable yields

Tewfik Sari 1, 2, 3
Abstract : In this Note, we give a global asymptotic stability result for the competition mathematical model between several species in a chemostat, by using a new Lyapunov function. The model includes both monotone and non-monotone response functions, distinct removal rates for the species and variable yields, depending on the concentration of substrate. We obtain, as corollaries of our result, three global stability theorems which were considered in the literature.
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https://hal.inria.fr/inria-00505288
Contributor : Tewfik Sari <>
Submitted on : Friday, July 23, 2010 - 11:19:54 AM
Last modification on : Thursday, July 2, 2020 - 2:19:19 PM

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Tewfik Sari. A Lyapunov function for the chemostat with variable yields. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2010, 348 (13-14), pp.747-751. ⟨10.1016/j.crma.2010.06.008⟩. ⟨inria-00505288⟩

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