Optimal harvesting policy for an age-structured tilapia population

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2012-06-29
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Abstract
This research was carried out to determine an efficient optimal sustainable harvesting policy for an age-structured tilapia population using the Leslie model. The population was grouped into three age classes of six months intervals: juvenile, matured and older classes. The dynamics of the population was investigated by finding the eigenvalues and eigenvectors of the Leslie matrix of the tilapia population and develop an optimal sustainable harvesting policy for the population. The dominant eigenvalue was and the corresponding eigenvector indicated that in long run the population will consist of 94% of the juveniles, 5.6% of matured and only 0.4% of the older fish. The optimal sustainable harvesting policy was harvesting 99.3% of the juveniles and all the older fish.
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A Thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology In partial fulfillment of the requirement for the degree of Master of Philosophy, June-2012
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