COMPETITIVE EXCLUSION PRINCIPLE IN A MODEL OF CHEMOSTAT WITH DELAYS

This paper is devoted to the study of the global asymptotic behavior of a model of chemostat with an arbitrary number of competitors following a Monod law on their specific growth rate functions. The model incorporates discrete time delays in order to take into account the delay in the conversion of nutrient consumed to the viable biomass. In this context, we state sufficient conditions ensuring thatthe presence of these time delays do not alter the prediction of the competitive exclusion principle. Our analysis and proofs rely on the construction of a Lyapunov-Krasovskii functional.

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