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A bioeconomic model of nonselective harvesting of two competing fish species

Published online by Cambridge University Press:  17 February 2009

D. Purohit  and
K. S. Chaudhuri
D. Purohit
Affiliation:
Department of Mathematics, Jadavpur University, Calcutta-700 032, India; e-mail: jumath@cal.vsnl.net.in.
K. S. Chaudhuri
Affiliation:
Department of Mathematics, Jadavpur University, Calcutta-700 032, India; e-mail: jumath@cal.vsnl.net.in.
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Abstract

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This paper deals with the combined bioeconomic harvesting of two competing fish species, each of which obeys the Gompertz law of growth. The catch-rate functions are chosen so as to reflect saturation effects with respect to stock abundance as well as harvesting effort. The stability of the dynamical system is discussed and the existence of a bionomic equilibrium is examined. The optimal harvest policy is studied with the help of Pontryagin's maimum principle. The results are illustrated with the help of a numerical example.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 2 , October 2004 , pp. 299 - 308
Copyright
Copyright © Australian Mathematical Society 2004

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