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Mathematical modeling and control of population systems: Applications in biological pest control

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dc.contributor.authorRafikov, M.
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorvon Bremen, H. F.
dc.contributor.institutionUniversity Ijuí
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionCalifornia State Polytechnic University, Pomona
dc.date.accessioned2013-09-30T18:50:23Z
dc.date.accessioned2014-05-20T14:16:16Z
dc.date.available2013-09-30T18:50:23Z
dc.date.available2014-05-20T14:16:16Z
dc.date.issued2008-07-01
dc.description.abstractThe aim of this paper is to apply methods from optimal control theory, and from the theory of dynamic systems to the mathematical modeling of biological pest control. The linear feedback control problem for nonlinear systems has been formulated in order to obtain the optimal pest control strategy only through the introduction of natural enemies. Asymptotic stability of the closed-loop nonlinear Kolmogorov system is guaranteed by means of a Lyapunov function which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation, thus guaranteeing both stability and optimality. Numerical simulations for three possible scenarios of biological pest control based on the Lotka-Volterra models are provided to show the effectiveness of this method. (c) 2007 Elsevier B.V. All rights reserved.en
dc.description.affiliationIjui Univ, UNJUI, Dept Phys Stat & Math, BR-98700000 Ijui, RS, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Stat Appl Math & Computat, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationCalif State Polytech Univ Pomona, Dept Math & Stat, Pomona, CA 91768 USA
dc.description.affiliationUnespUniv Estadual Paulista, Dept Stat Appl Math & Computat, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent557-573
dc.identifierhttp://dx.doi.org/10.1016/j.amc.2007.11.036
dc.identifier.citationApplied Mathematics and Computation. New York: Elsevier B.V., v. 200, n. 2, p. 557-573, 2008.
dc.identifier.doi10.1016/j.amc.2007.11.036
dc.identifier.issn0096-3003
dc.identifier.urihttp://hdl.handle.net/11449/24897
dc.identifier.wosWOS:000256441700009
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.ispartofjcr2.300
dc.relation.ispartofsjr1,065
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectmathematical modelingen
dc.subjectbiological pest controlen
dc.subjectlinear feedback controlen
dc.subjectKolmogorov systemen
dc.subjectLotka Volterra systemen
dc.titleMathematical modeling and control of population systems: Applications in biological pest controlen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
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