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Modelling the Dynamics of a Renewable Resource under Harvesting with Taxation as a Control Variable

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dc.contributor.author Dubey, Balram
dc.date.accessioned 2024-10-04T10:34:45Z
dc.date.available 2024-10-04T10:34:45Z
dc.date.issued 2014-10
dc.identifier.uri https://digitalcommons.pvamu.edu/cgi/viewcontent.cgi?article=1392&context=aam
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/15757
dc.description.abstract 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. en_US
dc.language.iso en en_US
dc.publisher AAM en_US
dc.subject Mathematics en_US
dc.subject Optimal tax en_US
dc.subject Harvesting effort en_US
dc.subject Stability en_US
dc.subject Bionomic equilibrium en_US
dc.title Modelling the Dynamics of a Renewable Resource under Harvesting with Taxation as a Control Variable en_US
dc.type Article en_US


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