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Journal Articles Mathematical Biosciences and Engineering Year : 2024

A Stability Aanalysis of a Time-Varying Chemostat with Pointwise Delay

Abstract

This paper revisits a recently introduced chemostat model of one– species with a periodic input of a single nutrient which is described by a system of delay differential equations. Previous results provided sufficient conditions ensuring the existence and uniqueness of a periodic solution for arbitrarily small delays. This paper partially extends these results by proving – with the construction of Lyapunov like functions – that the evoked periodic solution is globally asymptotically stable when considering Monod uptake functions and a particular family of nutrient inputs.
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hal-04412087 , version 1 (23-01-2024)

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Frederic Mazenc, Gonzalo Robledo, Daniel Sepulveda. A Stability Aanalysis of a Time-Varying Chemostat with Pointwise Delay. Mathematical Biosciences and Engineering, 2024, 21 (2), pp.38. ⟨10.3934/mbe.2024119⟩. ⟨hal-04412087⟩
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