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Analysis of a fishery model with a depensation term

Show simple item record Makwata Harun Lawi George Akinyi Colleta Adu Wasike 2019-05-24T13:22:04Z 2019-05-24T13:22:04Z 2019
dc.description.abstract 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 1 1 qnE, K n T n n rn                  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. Keywords: Depensation, allee effect, fishing mortality en_US
dc.language.iso en en_US
dc.title Analysis of a fishery model with a depensation term en_US

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