Journal of Mathematical Chemistry

, Volume 46, Issue 2, pp 502–513

Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment

Original Paper

DOI: 10.1007/s10910-008-9474-4

Cite this article as:
Jiao, J. & Chen, L. J Math Chem (2009) 46: 502. doi:10.1007/s10910-008-9474-4

Abstract

In this paper, a chemostat model with delayed response in growth and pulse input in polluted environment is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equation. Our results reveal that the delayed response in growth plays an important role on the outcome of the chemostat.

Keywords

Chemostat model Delayed response in growth Pulse input in polluted environment Extinction Permanence 

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsGuizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance & EconomicsGuiyangPeople’s Republic of China
  2. 2.Institute of MathematicsAcademy of Mathematics and System SciencesBeijingPeople’s Republic of China

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