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2012 The Analysis and Control for Singular Ecological-Economic Model with Harvesting and Migration
Qingling Zhang, Hong Niu, Lichun Zhao, Fenglan Bai
J. Appl. Math. 2012(SI10): 1-17 (2012). DOI: 10.1155/2012/973869

Abstract

To keep the resources renewable, a singular ecological-economic model is proposed for the populations with harvesting and migration. The local stability and the dynamic behavior of the model are studied. Singular induced bifurcation appears when economic interest is zero, which is different from the ordinary differential models. In order to apply variable structure control to eliminate these complex behaviors, the singular model is transformed into a single-input and single-output model with parameter varying within definite intervals. And then, a variable structure controller is designed to make the model stable. Finally, an inshore-offshore fishery model is given to illustrate the proposed method, and some numerical simulations are shown to demonstrate the control results.

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Qingling Zhang. Hong Niu. Lichun Zhao. Fenglan Bai. "The Analysis and Control for Singular Ecological-Economic Model with Harvesting and Migration." J. Appl. Math. 2012 (SI10) 1 - 17, 2012. https://doi.org/10.1155/2012/973869

Information

Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1244.93116
MathSciNet: MR2935527
Digital Object Identifier: 10.1155/2012/973869

Rights: Copyright © 2012 Hindawi

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