Global dynamics of the chemostat with variable yields

Tewfik Sari

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arXiv · 1002.4807

Global dynamics of the chemostat with variable yields

Tewfik Sari

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Abstract

In this paper, we consider a competition model between $n$ species in a chemostat including both monotone and non-monotone response functions, distinct removal rates and variable yields. We show that only the species with the lowest break-even concentration survives, provided that additional technical conditions on the growth functions and yields are satisfied. LaSalle's extension theorem of the Lyapunov stability theory is the main tool.

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Tewfik Sari. 2010-02-25. Global dynamics of the chemostat with variable yields. https://arxiv.org/abs/1002.4807

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