Optimal pest control problem in population dynamics

Detalhes bibliográficos
Autor(a) principal: Rafikov, Marat
Data de Publicação: 2005
Outros Autores: Balthazar, José Manoel [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/s1807-03022005000100004
http://hdl.handle.net/11449/231904
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 dynamicsHamilton-Jacobi- Bellman equationMaximum Principle of PontryaginOptimal pest controlOne 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.Department of Physics Statistics and Mathematics UNJUI Ijui University, Cx. Postal 560Departament of Statistics Applied Mathematics and Computation UNESP Universidade Estadual Paulista, Cx. Postal 178Departament of Statistics Applied Mathematics and Computation UNESP Universidade Estadual Paulista, Cx. Postal 178Ijui UniversityUniversidade Estadual Paulista (UNESP)Rafikov, MaratBalthazar, José Manoel [UNESP]2022-04-29T08:48:09Z2022-04-29T08:48:09Z2005-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article65-81http://dx.doi.org/10.1590/s1807-03022005000100004Computational and Applied Mathematics, v. 24, n. 1, p. 65-81, 2005.1807-03022238-3603http://hdl.handle.net/11449/23190410.1590/s1807-030220050001000042-s2.0-74049104222Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematicsinfo:eu-repo/semantics/openAccess2022-04-29T08:48:09Zoai:repositorio.unesp.br:11449/231904Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:04:36.705651Repositório 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
Hamilton-Jacobi- Bellman equation
Maximum Principle of Pontryagin
Optimal pest control
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, José Manoel [UNESP]
author_role author
author2 Balthazar, José Manoel [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Ijui University
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Rafikov, Marat
Balthazar, José Manoel [UNESP]
dc.subject.por.fl_str_mv Hamilton-Jacobi- Bellman equation
Maximum Principle of Pontryagin
Optimal pest control
topic Hamilton-Jacobi- Bellman equation
Maximum Principle of Pontryagin
Optimal pest control
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
2022-04-29T08:48:09Z
2022-04-29T08:48:09Z
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 http://dx.doi.org/10.1590/s1807-03022005000100004
Computational and Applied Mathematics, v. 24, n. 1, p. 65-81, 2005.
1807-0302
2238-3603
http://hdl.handle.net/11449/231904
10.1590/s1807-03022005000100004
2-s2.0-74049104222
url http://dx.doi.org/10.1590/s1807-03022005000100004
http://hdl.handle.net/11449/231904
identifier_str_mv Computational and Applied Mathematics, v. 24, n. 1, p. 65-81, 2005.
1807-0302
2238-3603
10.1590/s1807-03022005000100004
2-s2.0-74049104222
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational and 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.source.none.fl_str_mv Scopus
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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