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

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DC Field	Value	Language
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
Appears in Collections:	Department of Mathematics

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