Title: Harvesting fisheries management strategies with modified effort function

Authors: Lev V. Idels, Mei Wang

Addresses: Department of Mathematics, Malaspina University-College, Bld. 360/304, 900 Fifth Street, Nanaimo, BC V9R 5S5, Canada. ' Institute of Applied Mathematics, University of British Columbia, BC, Canada

Abstract: In traditional harvesting models a fishing effort E is defined by the fishing intensity and does not address the inverse effect of fish abundance on the fishing effort. In this paper, based on a canonical differential equation model, we developed a new fishing effort model which relies on the density effect of fish population. This study concludes that a control parameter β (the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes to equilibrium, but also the equilibrium values. To examine systematically the consequences of different harvesting strategies, we used numerical simulations and qualitative analysis of five standard fishery strategies.

Keywords: population models; harvesting management strategies; fishery modelling; fishing effort; ordinary differential equations; dynamics; control parameters; fishing efforts; fish population.

DOI: 10.1504/IJMIC.2008.018188

International Journal of Modelling, Identification and Control, 2008 Vol.3 No.1, pp.83 - 87

Available online: 10 May 2008 *

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