Open Access Digital Repository of Ministry of Earth Sciences, Government of India

On non-selective harvesting of a multispecies fishery incorporating partial closure for the populations

Chakraborty, K and Das, S and Kar, TK (2013) On non-selective harvesting of a multispecies fishery incorporating partial closure for the populations. Applied Mathematics and Computation, 221. pp. 581-597.

Full text not available from this repository. (Request a copy)

Abstract

A prey-predator type fishery model incorporating partial closure for the populations is described in this paper. The proposed model deals with a problem of non-selective harvesting of a prey-predator system in which both the prey and the predator species obey logistic law of growth. The predator dependent Beddington DeAngelis type functional response is taken into consideration. Dynamic behavior of the system is analyzed. Partial closure for the populations is considered as a controlling instrument to regulate the harvesting of the populations. A dynamic framework towards the optimal utilization of the resource is developed using Pontryagin's maximum principle. The optimal system is numerically solved using an iterative method with Runge-Kutta fourth order scheme. Simulation results show that the optimal control scheme can achieve sustainable ecosystem. Results are analyzed with the help of graphical illustrations.

Item Type: Article
Additional Information: Copyright of this article belongs to Elsevier.
Uncontrolled Keywords: Prey–predator; Beddington DeAngelis functional response; Partial closure; Global stability; Optimal control
Subjects: Oceanography > marine biology
Oceanography > oceanography
Depositing User: INCOIS Library
Date Deposited: 14 Dec 2013 05:32
Last Modified: 14 Dec 2013 05:32
URI: http://moeseprints.incois.gov.in/id/eprint/105

Actions (login required)

View Item View Item