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An Aggregated Model for Optimal Harvesting of Fish

Edgar Otumba, Henry Mwambi, Fredrick Onyango


This paper presents an advancement to the study of population dynamics by providing a link between
an individual’s behaviour, and its fecundity level. We have used aggregation methods for discrete populations
to come up with a model that combines a game theoretic process and a population projection model. The aggregated model is then used to determine equilibrium structures of populations which are classified by age. The model is fitted to data collected on a fish species, The Arctic Cod, and the parameter estimates are shown to be useful in determination of optimal yields for fish populations.


Aggregation, Equilibrium, Game Theory, Leslie Matrix, Optimal Harvesting.

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