Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input
type: Item
instance of: scholarly article
title: Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input
zbMATH Open document ID: 1107.92057
author: Xinyu Song
author: Zhong Zhao
published in: Discrete Dynamics in Nature and Society
publication date: 2007-03-19T00:00:00Z
review text: Summary: 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 greater than a critical value. At the same time we can find that the nutrient and microorganisms are permanent if the impulsive period \(T\) is less than the critical value.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 5134628
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5134628