On the Impulsive Perturbation and Bifurcation of Solutions for a Model of Chemostat With Variable Yield

ZHANG Hong; Paul Georgescu; Juan J. Nieto; CHEN Lan-sun

doi:10.3879/j.issn.1000-0887.2009.07.012

Volume 30 Issue 7

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ZHANG Hong, Paul Georgescu, Juan J. Nieto, CHEN Lan-sun. On the Impulsive Perturbation and Bifurcation of Solutions for a Model of Chemostat With Variable Yield[J]. Applied Mathematics and Mechanics, 2009, 30(7): 873-882. doi: 10.3879/j.issn.1000-0887.2009.07.012

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On the Impulsive Perturbation and Bifurcation of Solutions for a Model of Chemostat With Variable Yield

doi: 10.3879/j.issn.1000-0887.2009.07.012

1.
Department of Mathematics, Jiangsu University, Zhenjing, Jiangsu 212013, P. R. China;

Received Date: 2008-12-26
Rev Recd Date: 2009-06-10
Publish Date: 2009-07-15

Abstract

Abstract

A new model of a chemostat with variable yield and non-synchronous impulsive effect was proposed and investigated.It is observed that a set of threshold-like conditions guaranteeing the global stability of semi-trivial periodic solution,the permanence of the system and then a bifurcation of a nontrivial solution arises.Finally,the dynamics of the model was also illustrated by means of a few numerical experiments and computational simulations.
- chemostat,
- impulsive differential equation,
- permanence,
- extinction,
- fixed point approach,
- bifurcation

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References(17)

References

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