Optimal pest control problem in population dynamics

Detalhes bibliográficos
Autor(a) principal: Rafikov, Marat
Data de Publicação: 2005
Outros Autores: Balthazar, Jose Manoel [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/195754
Resumo: One 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.
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spelling Optimal pest control problem in population dynamicsoptimal pest controlMaximum Principle of PontryaginHamilton-Jacobi-Bellman equationOne 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.Ijui Univ, Dept Phys Stat & Math, UNJUI, BR-9870000 Ijui, RS, BrazilUniv Estadual Paulista, Dept Stat Appl Math & Computat, UNESP, BR-13500230 Rio Claro, SP, BrazilUniv Estadual Paulista, Dept Stat Appl Math & Computat, UNESP, BR-13500230 Rio Claro, SP, BrazilSpringerIjui UnivUniversidade Estadual Paulista (Unesp)Rafikov, MaratBalthazar, Jose Manoel [UNESP]2020-12-10T18:02:22Z2020-12-10T18:02:22Z2005-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article65-81Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 24, n. 1, p. 65-81, 2005.0101-8205http://hdl.handle.net/11449/195754WOS:000208135200004Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational & Applied Mathematicsinfo:eu-repo/semantics/openAccess2021-10-23T11:51:33Zoai:repositorio.unesp.br:11449/195754Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:22:34.569605Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Optimal pest control problem in population dynamics
title Optimal pest control problem in population dynamics
spellingShingle Optimal pest control problem in population dynamics
Rafikov, Marat
optimal pest control
Maximum Principle of Pontryagin
Hamilton-Jacobi-Bellman equation
title_short Optimal pest control problem in population dynamics
title_full Optimal pest control problem in population dynamics
title_fullStr Optimal pest control problem in population dynamics
title_full_unstemmed Optimal pest control problem in population dynamics
title_sort Optimal pest control problem in population dynamics
author Rafikov, Marat
author_facet Rafikov, Marat
Balthazar, Jose Manoel [UNESP]
author_role author
author2 Balthazar, Jose Manoel [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Ijui Univ
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Rafikov, Marat
Balthazar, Jose Manoel [UNESP]
dc.subject.por.fl_str_mv optimal pest control
Maximum Principle of Pontryagin
Hamilton-Jacobi-Bellman equation
topic optimal pest control
Maximum Principle of Pontryagin
Hamilton-Jacobi-Bellman equation
description One 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.
publishDate 2005
dc.date.none.fl_str_mv 2005-01-01
2020-12-10T18:02:22Z
2020-12-10T18:02:22Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 24, n. 1, p. 65-81, 2005.
0101-8205
http://hdl.handle.net/11449/195754
WOS:000208135200004
identifier_str_mv Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 24, n. 1, p. 65-81, 2005.
0101-8205
WOS:000208135200004
url http://hdl.handle.net/11449/195754
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational & Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 65-81
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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