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A JUVENILE‐ADULT DISCRETE‐TIME PRODUCTION MODEL OF EXPLOITED FISHERY SYSTEMS
Authors:NIANPENG LI  ABDUL‐AZIZ YAKUBU
Institution:1. Department of Mathematics, Howard University, Washington, DC 20059 E‐mail: linianpeng@gmail.com;2. Department of Mathematics, Howard University, Washington, DC 20059
E‐mail: ayakubu@howard.edu
Abstract:Abstract. Previous mathematical modeling of the population dynamics of Georges Bank Atlantic cod fishery employed discrete‐time models without age‐structure. To make use of a much wider variety of data on fisheries and fish stocks than was possible with an unstructured model, we introduce a juvenile‐adult age‐structured production exploited fishery model with a very general recruitment function. We use the age‐structured model to study the interaction between fish exploitation levels and recruitment dynamics. As case studies, we use our model results and historical fish population data from Georges Bank to investigate the impact of recent harvesting levels on the sustainability of cod fishery. We show that a constant harvesting policy with the same harvesting rate of 2007 would lead to the recovery and sustainability of Georges Bank cod fishery.
Keywords:Age‐structure  Allee effect  Beverton–  Holt recruitment function  Harvesting  Ricker recruitment function
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