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

dc.contributorUniversity Ijuí
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorCalifornia 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.created2013-09-30T18:50:23Z
dc.date.created2014-05-20T14:16:16Z
dc.date.issued2008-07-01
dc.identifierApplied Mathematics and Computation. New York: Elsevier B.V., v. 200, n. 2, p. 557-573, 2008.
dc.identifier0096-3003
dc.identifierhttp://hdl.handle.net/11449/24897
dc.identifier10.1016/j.amc.2007.11.036
dc.identifierWOS:000256441700009
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.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationApplied Mathematics and Computation
dc.relation2.300
dc.relation1,065
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectmathematical modeling
dc.subjectbiological pest control
dc.subjectlinear feedback control
dc.subjectKolmogorov system
dc.subjectLotka Volterra system
dc.titleMathematical modeling and control of population systems: Applications in biological pest control
dc.typeArtículos de revistas


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