Optimal control in a model for Zika transmission with stratification by sex
This paper presents an optimal control strategy for the Zika virus disease with sexual transmission. A mathematical model for the transmission of the Zika virus is considered with three preventive measures as control, namely: the prevention of the sexual contagion with the use of condoms and the ori...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2020-12-01
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| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3091 |
| _version_ | 1818444694541041664 |
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| author | Erick Manuel Delgado Moya Aymée Marrero Severo |
| author_facet | Erick Manuel Delgado Moya Aymée Marrero Severo |
| author_sort | Erick Manuel Delgado Moya |
| collection | DOAJ |
| description | This paper presents an optimal control strategy for the Zika virus disease with sexual transmission. A mathematical model for the transmission of the Zika virus is considered with three preventive measures as control, namely: the prevention of the sexual contagion with the use of condoms and the orientation in the transmission of Zika in the homosexual and heterosexual relations, the campaigns against vectors and the protection of the society regarding the contagion by mosquito bites. We examine the implementation of various combinations of the control strategies in order to determine the most cost-effective one. The necessary conditions for the optimal controls are determined using Pontryaguin’s maximum principle and the optimality problem is solved using Runge-Kutta fourth order scheme. Based on the computational results, we conclude that the most efficient control strategy is when it is applied on the infections in homosexual
relationships combined with the control in the transmission by vectors. |
| first_indexed | 2024-12-14T19:20:00Z |
| format | Article |
| id | doaj.art-1e1db40c767b4926b263423ffa29a9a4 |
| institution | Directory Open Access Journal |
| issn | 2411-1783 2411-1783 |
| language | Spanish |
| last_indexed | 2024-12-14T19:20:00Z |
| publishDate | 2020-12-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-1e1db40c767b4926b263423ffa29a9a42022-12-21T22:50:22ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832020-12-0170228930110.17268/sel.mat.2020.02.11Optimal control in a model for Zika transmission with stratification by sexErick Manuel Delgado Moya0https://orcid.org/0000-0001-5937-5374Aymée Marrero Severo1https://orcid.org/0000-0003-4823-0078IME- University of Sao Paulo, Rua do Matao, 1010, SP-BrazilMATCOM- University of Havana, Edificio Felipe Poey. San Lázaro y L. Colina Universitaria, Havana-CubaThis paper presents an optimal control strategy for the Zika virus disease with sexual transmission. A mathematical model for the transmission of the Zika virus is considered with three preventive measures as control, namely: the prevention of the sexual contagion with the use of condoms and the orientation in the transmission of Zika in the homosexual and heterosexual relations, the campaigns against vectors and the protection of the society regarding the contagion by mosquito bites. We examine the implementation of various combinations of the control strategies in order to determine the most cost-effective one. The necessary conditions for the optimal controls are determined using Pontryaguin’s maximum principle and the optimality problem is solved using Runge-Kutta fourth order scheme. Based on the computational results, we conclude that the most efficient control strategy is when it is applied on the infections in homosexual relationships combined with the control in the transmission by vectors.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3091modelsexual transmissionstrategyoptimal controlzika |
| spellingShingle | Erick Manuel Delgado Moya Aymée Marrero Severo Optimal control in a model for Zika transmission with stratification by sex Selecciones Matemáticas model sexual transmission strategy optimal control zika |
| title | Optimal control in a model for Zika transmission with stratification by sex |
| title_full | Optimal control in a model for Zika transmission with stratification by sex |
| title_fullStr | Optimal control in a model for Zika transmission with stratification by sex |
| title_full_unstemmed | Optimal control in a model for Zika transmission with stratification by sex |
| title_short | Optimal control in a model for Zika transmission with stratification by sex |
| title_sort | optimal control in a model for zika transmission with stratification by sex |
| topic | model sexual transmission strategy optimal control zika |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3091 |
| work_keys_str_mv | AT erickmanueldelgadomoya optimalcontrolinamodelforzikatransmissionwithstratificationbysex AT aymeemarrerosevero optimalcontrolinamodelforzikatransmissionwithstratificationbysex |