Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying

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In this paper we study the effect of vaccination control, medical treatment and spraying to malaria epidemic model.Firstly the non-control malaria epidemic model is generated and the equilibrium point is determined. Afterward, the stability of equilibrium point in previous model is investigated. The...

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Detalles Bibliográficos
Autores: Fahcruddin, Imam, Salmah, Salmah, Gunawan Malau, April
Formato: artículo
Fecha de Publicación:2019
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/2627
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627
Nivel de acceso:acceso abierto
Materia:Malaria epidemic model
Stability
Equilibrium point
Control optimal
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spelling Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos SprayingOptimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos SprayingFahcruddin, ImamSalmah, SalmahGunawan Malau, AprilMalaria epidemic modelStabilityEquilibrium pointControl optimalMalaria epidemic modelStabilityEquilibrium pointControl optimalIn this paper we study the effect of vaccination control, medical treatment and spraying to malaria epidemic model.Firstly the non-control malaria epidemic model is generated and the equilibrium point is determined. Afterward, the stability of equilibrium point in previous model is investigated. The research is continued by deciding the optimal control of malaria epidemic model and minimizing the cost. The results show that the control effect can reduce the subpopulation of infected human and mosquitoes.In this paper we study the effect of vaccination control, medical treatment and spraying to malaria epidemic model.Firstly the non-control malaria epidemic model is generated and the equilibrium point is determined. Afterward, the stability of equilibrium point in previous model is investigated. The research is continued by deciding the optimal control of malaria epidemic model and minimizing the cost. The results show that the control effect can reduce the subpopulation of infected human and mosquitoes.National University of Trujillo - Academic Department of Mathematics2019-12-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdftext/htmlhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 189-195Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 189-195Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 189-1952411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627/2646https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627/2666Derechos de autor 2019 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/26272022-10-21T18:52:01Z
dc.title.none.fl_str_mv Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
title Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
spellingShingle Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
Fahcruddin, Imam
Malaria epidemic model
Stability
Equilibrium point
Control optimal
Malaria epidemic model
Stability
Equilibrium point
Control optimal
title_short Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
title_full Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
title_fullStr Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
title_full_unstemmed Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
title_sort Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
dc.creator.none.fl_str_mv Fahcruddin, Imam
Salmah, Salmah
Gunawan Malau, April
author Fahcruddin, Imam
author_facet Fahcruddin, Imam
Salmah, Salmah
Gunawan Malau, April
author_role author
author2 Salmah, Salmah
Gunawan Malau, April
author2_role author
author
dc.subject.none.fl_str_mv Malaria epidemic model
Stability
Equilibrium point
Control optimal
Malaria epidemic model
Stability
Equilibrium point
Control optimal
topic Malaria epidemic model
Stability
Equilibrium point
Control optimal
Malaria epidemic model
Stability
Equilibrium point
Control optimal
description In this paper we study the effect of vaccination control, medical treatment and spraying to malaria epidemic model.Firstly the non-control malaria epidemic model is generated and the equilibrium point is determined. Afterward, the stability of equilibrium point in previous model is investigated. The research is continued by deciding the optimal control of malaria epidemic model and minimizing the cost. The results show that the control effect can reduce the subpopulation of infected human and mosquitoes.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-24
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627/2646
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2627/2666
dc.rights.none.fl_str_mv Derechos de autor 2019 Selecciones Matemáticas
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2019 Selecciones Matemáticas
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 189-195
Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 189-195
Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 189-195
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.102571
Optimal Control For Malaria Epidemic Model With Vaccinating, Human Treatment And Mosquitos Spraying
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