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Analysis of a Crowley-Martin Type Chemostat with Delayed Growth Response and Pulsed Input

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Abstract:

In this paper, we introduce and study a Crowley-Martin type Chemostat model with delayed growth response and pulsed input. We get that the existence and the global attractivity of a ‘microorganism-extinction’periodic solution. We prove that the system is permanent under appropriate conditions, by use of new computational techniques for impulsive and delayed differential equation.

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Info:

Periodical:

Applied Mechanics and Materials (Volumes 556-562)

Pages:

4333-4337

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.556-562.4333

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Online since:

May 2014

Authors:

Ming Juan Sun, Hua Xin Zhao*, Qing Lai Dong

Keywords:

Chemostat, Crowley-Martin Functional Response, Impulsive Input, Permanence, Time Delay

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] T. Wang and L. Chen: J. Appl. Math. Comput. 35 (2011): 211.

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[2] Q. Dong, W. Ma and M. Sun: J. Math. Chem. 51(2013): 1231.

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[3] V. Lakshmikantham, D. Bainov, P. Simeonov: Theory of Impulsive Differential Equations (World Scientific, Singapore 1989).

DOI: 10.1142/0906

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[4] Y. Kuang: Delay Differential Equations with Applications in Population Dynamics(Academic Press, San Diego 1993).

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