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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/15764
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dc.contributor.authorDubey, Balram-
dc.date.accessioned2024-10-04T10:59:33Z-
dc.date.available2024-10-04T10:59:33Z-
dc.date.issued2013-
dc.identifier.urihttps://www.hindawi.com/journals/jmath/2013/613706/-
dc.identifier.urihttp://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/15764-
dc.description.abstractA dynamical model is proposed and analyzed to study the effect of the population on the resource biomass by taking into account the crowding effect. Biological and bionomical equilibria of the system are discussed. The global stability behavior of the positive equilibrium is studied via the output feedback control. An appropriate Hamiltonian function is formed for the discussion of optimal harvesting of resource which is utilized by the population using Pontryagin's Maximum Principal. A numerical simulation is performed on the model to analyze the theoretical results.en_US
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.subjectMathematicsen_US
dc.subjectRenewable Resourceen_US
dc.titleA Mathematical Model for Optimal Management and Utilization of a Renewable Resource by Populationen_US
dc.typeArticleen_US
Appears in Collections:Department of Mathematics

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