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Global stability of a mathematical model of plankton

  • Li lin ,
  • Yan yan
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  • School of Biomedical Engineering, Capital Medical University

Received date: 1900-01-01

  Revised date: 1900-01-01

  Online published: 2008-05-15

Abstract

The differential delay model, which is introduced to simulate zooplankton-nutrient interaction, of the form is studied, where is the concentration of nutrient, is a measure of zooplankton population at time t and parameter are positive constants. If , and hold, then the positive steady state of this system is globally attractive. Some sufficient conditions on local stability of the steady state of the model are given.

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Cite this article

Li lin , Yan yan . Global stability of a mathematical model of plankton[J]. Journal of University of Chinese Academy of Sciences, 2008 , 25(3) : 305 -312 . DOI: 10.7523/j.issn.2095-6134.2008.3.003

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