Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input

Xinyu Song and Zhong Zhao

Discrete Dynamics in Nature and Society, 2006, vol. 2006, 1-14

Abstract:

A chemostat model with periodically pulsed input is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution ( u 1 ∗ ( t ) , v 1 ∗ ( t ) , 0 ) is globally asymptotically stable if the impulsive period T is more than a critical value. At the same time we can find that the nutrient and microorganism are permanent if the impulsive period T is less than the critical value.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:038310

DOI: 10.1155/DDNS/2006/38310

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