Modelling the Dynamics of a Renewable Resource under Harvesting with Taxation as a Control Variable
نویسندگان
چکیده
The present paper describes a model of resource biomass and population with a non-linear catch rate function on resource biomass. The harvesting effort is assumed to be a dynamical variable. Tax on per unit harvested resource biomass is used as a tool to control exploitation of the resource. Pontryagin’s Maximum Principle is used to find the optimal control to maintain the resource biomass and population at an optimal level. A numerical simulation is also carried out to support the analytical results.
منابع مشابه
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تاریخ انتشار 2014