Global stability for a chemostat-type model with delayed nutrient recycling

Zhiqi Lu

doi:10.3934/dcdsb.2004.4.663

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2004, Volume 4, Issue 3: 663-670. Doi: 10.3934/dcdsb.2004.4.663

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Global stability for a chemostat-type model with delayed nutrient recycling

Zhiqi Lu^1,

1.
Department of Mathematics, Henan Normal University, Xin Xiang, 453002

Received: November 30, 2002

Revised: December 31, 2003

Published: July 2005

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Abstract

In this paper, we consider the question of global stability of the positive equilibrium in a chemostat-type system with delayed nutrient recycling. By constructing Liapunov function, we obtain a sufficient condition for the global stability of the positive equilibrium.

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Mathematics Subject Classification: 34C35, 92A17.

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