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Optimal pest control problem in population dynamics

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dc.contributor.authorRafikov, Marat
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.institutionUniversidade Regional do Noroeste do Estado do Rio Grande do Sul (Unijuí)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T19:32:01Z
dc.date.accessioned2014-05-20T14:16:11Z
dc.date.available2013-09-30T19:32:01Z
dc.date.available2014-05-20T14:16:11Z
dc.date.issued2005-04-01
dc.description.abstractOne of the main goals of the pest control is to maintain the density of the pest population in the equilibrium level below economic damages. For reaching this goal, the optimal pest control problem was divided in two parts. In the first part, the two optimal control functions were considered. These functions move the ecosystem pest-natural enemy at an equilibrium state below the economic injury level. In the second part, the one optimal control function stabilizes the ecosystem in this level, minimizing the functional that characterizes quadratic deviations of this level. The first problem was resolved through the application of the Maximum Principle of Pontryagin. The Dynamic Programming was used for the resolution of the second optimal pest control problem.en
dc.description.affiliationUNJUI Statistics and Mathematics Department of Physics
dc.description.affiliationUNESP Applied Mathematics and Computation Departament of Statistics
dc.description.affiliationUnespUNESP Applied Mathematics and Computation Departament of Statistics
dc.format.extent65-81
dc.identifierhttp://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100004
dc.identifier.citationComputational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 24, n. 1, p. 65-81, 2005.
dc.identifier.fileS1807-03022005000100004.pdf
dc.identifier.issn1807-0302
dc.identifier.scieloS1807-03022005000100004
dc.identifier.urihttp://hdl.handle.net/11449/24866
dc.language.isoeng
dc.publisherSociedade Brasileira de Matemática Aplicada e Computacional
dc.relation.ispartofComputational & Applied Mathematics
dc.rights.accessRightsAcesso aberto
dc.sourceSciELO
dc.subjectoptimal pest controlen
dc.subjectMaximum Principle of Pontryaginen
dc.subjectHamilton-Jacobi-Bellman equationen
dc.titleOptimal pest control problem in population dynamicsen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEstatística, Matemática Aplicada e Computação - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas