Optimal pest control problem in population dynamics
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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 |
|
_version_ |
1808128640186056704 |