Near-optimal control of a stochastic SICA model with imprecise parameters

Bibliographic Details
Main Author: Zine, Houssine
Publication Date: 2022
Other Authors: Torres, Delfim F. M.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/35480
Summary: An adequate near-optimal control problem for a stochastic SICA (Susceptible-Infected-Chronic-AIDS) compartmental epidemic model for HIV transmission with imprecise parameters is formulated and investigated. We prove some estimates for the state and co-state variables of the stochastic system. The established inequalities are then used to prove a necessary and a sufficient condition for near-optimal control with imprecise parameters. The proofs involve several mathematical and stochastic tools, including the Burkholder-Davis-Gundy inequality.
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spelling Near-optimal control of a stochastic SICA model with imprecise parametersBurkholder-Davis-Gundy inequalityImprecise parametersStochastic Pontryagin’s maximum principleNear-optimal controlAn adequate near-optimal control problem for a stochastic SICA (Susceptible-Infected-Chronic-AIDS) compartmental epidemic model for HIV transmission with imprecise parameters is formulated and investigated. We prove some estimates for the state and co-state variables of the stochastic system. The established inequalities are then used to prove a necessary and a sufficient condition for near-optimal control with imprecise parameters. The proofs involve several mathematical and stochastic tools, including the Burkholder-Davis-Gundy inequality.Mathematical Research Press, London, UK2022-12-20T11:07:24Z2022-01-01T00:00:00Z2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35480eng2051-295310.23952/cot.2022.27Zine, HoussineTorres, Delfim F. M.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:40:48Zoai:ria.ua.pt:10773/35480Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:16:43.702652Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Near-optimal control of a stochastic SICA model with imprecise parameters
title Near-optimal control of a stochastic SICA model with imprecise parameters
spellingShingle Near-optimal control of a stochastic SICA model with imprecise parameters
Zine, Houssine
Burkholder-Davis-Gundy inequality
Imprecise parameters
Stochastic Pontryagin’s maximum principle
Near-optimal control
title_short Near-optimal control of a stochastic SICA model with imprecise parameters
title_full Near-optimal control of a stochastic SICA model with imprecise parameters
title_fullStr Near-optimal control of a stochastic SICA model with imprecise parameters
title_full_unstemmed Near-optimal control of a stochastic SICA model with imprecise parameters
title_sort Near-optimal control of a stochastic SICA model with imprecise parameters
author Zine, Houssine
author_facet Zine, Houssine
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.author.fl_str_mv Zine, Houssine
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Burkholder-Davis-Gundy inequality
Imprecise parameters
Stochastic Pontryagin’s maximum principle
Near-optimal control
topic Burkholder-Davis-Gundy inequality
Imprecise parameters
Stochastic Pontryagin’s maximum principle
Near-optimal control
description An adequate near-optimal control problem for a stochastic SICA (Susceptible-Infected-Chronic-AIDS) compartmental epidemic model for HIV transmission with imprecise parameters is formulated and investigated. We prove some estimates for the state and co-state variables of the stochastic system. The established inequalities are then used to prove a necessary and a sufficient condition for near-optimal control with imprecise parameters. The proofs involve several mathematical and stochastic tools, including the Burkholder-Davis-Gundy inequality.
publishDate 2022
dc.date.none.fl_str_mv 2022-12-20T11:07:24Z
2022-01-01T00:00:00Z
2022
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://hdl.handle.net/10773/35480
url http://hdl.handle.net/10773/35480
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2051-2953
10.23952/cot.2022.27
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Mathematical Research Press, London, UK
publisher.none.fl_str_mv Mathematical Research Press, London, UK
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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