Author(s): Makwata Harun, Lawi George, Akinyi Colleta and Adu Wasike

Abstract: We formulate a mathematical fishery model with over-fishing induced Allee effect and stock dependent harvesting, since fish populations when reduced to low densities experience reduced rates of survival and reproduction. The model takes the form of a set of differential equations in which the population growth equation has a depensation term. The other two equations describe the evolution of the fishing mortality E and the market price p. Aggregation is performed to reduce the model from a system of three equations to a system of two equations. Analysis of the model yields four points of equilibria. Local stability analysis is done for the equilibria points with zero harvesting.

Pages: 44-49 | Views: 886 | Downloads: 14

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