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2012 A Mathematical Model for the Dynamics of a Fish Algae Consumption Model with Impulsive Control Strategy
Jin Yang, Min Zhao
J. Appl. Math. 2012: 1-17 (2012). DOI: 10.1155/2012/452789

Abstract

A dynamic mathematical model of fish algae consumption with an impulsive control strategy is proposed and analyzed in detail. It is shown that the system has a globally asymptotically stable algae-eradication periodic solution which can be obtained using the Floquet theory of impulsive differential equations and small-amplitude perturbation techniques. The conditions for the permanence of the system can also be determined. Numerical results for impulsive perturbations show the rich dynamic behavior of the system. All these results may be useful in controlling eutrophication.

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Jin Yang. Min Zhao. "A Mathematical Model for the Dynamics of a Fish Algae Consumption Model with Impulsive Control Strategy." J. Appl. Math. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/452789

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.93115
MathSciNet: MR2910920
Digital Object Identifier: 10.1155/2012/452789

Rights: Copyright © 2012 Hindawi

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