Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control

Dengue is the most common mosquito-borne viral infection transmitted disease. It is due to the four types of viruses (DENV-1, DENV-2, DENV-3, DENV-4), which transmit through the bite of infected Aedes aegypti and Aedes albopictus female mosquitoes during the daytime. The first globally commercialize...

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Autor principal:	Mentuda Cheryl Q.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	dengvaxia vaccination [rscr]0 optimal control pontryagin maximum principle 34d23 92d30 92-10 49j15 Biotechnology TP248.13-248.65 Physics QC1-999
Acceso en línea:	https://doaj.org/article/a5ce12f447d748b1935bbe939a196507
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spelling	oai:doaj.org-article:a5ce12f447d748b1935bbe939a1965072021-12-05T14:10:45ZOptimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control2544-729710.1515/cmb-2020-0124https://doaj.org/article/a5ce12f447d748b1935bbe939a1965072021-11-01T00:00:00Zhttps://doi.org/10.1515/cmb-2020-0124https://doaj.org/toc/2544-7297Dengue is the most common mosquito-borne viral infection transmitted disease. It is due to the four types of viruses (DENV-1, DENV-2, DENV-3, DENV-4), which transmit through the bite of infected Aedes aegypti and Aedes albopictus female mosquitoes during the daytime. The first globally commercialized vaccine is Dengvaxia, also known as the CYD-TDV vaccine, manufactured by Sanofi Pasteur. This paper presents a Ross-type epidemic model to describe the vaccine interaction between humans and mosquitoes using an entomological mosquito growth population and constant human population. After establishing the basic reproduction number ℛ0, we present three control strategies: vaccination, vector control, and the combination of vaccination and vector control. We use Pontryagin’s minimum principle to characterize optimal control and apply numerical simulations to determine which strategies best suit each compartment. Results show that vector control requires shorter time applications in minimizing mosquito populations. Whereas vaccinating the primary susceptible human population requires a shorter time compared to the secondary susceptible human.Mentuda Cheryl Q.De Gruyterarticledengvaxiavaccination[rscr]0optimal controlpontryagin maximum principle34d2392d3092-1049j15BiotechnologyTP248.13-248.65PhysicsQC1-999ENComputational and Mathematical Biophysics, Vol 9, Iss 1, Pp 198-212 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	dengvaxia vaccination [rscr]0 optimal control pontryagin maximum principle 34d23 92d30 92-10 49j15 Biotechnology TP248.13-248.65 Physics QC1-999
spellingShingle	dengvaxia vaccination [rscr]0 optimal control pontryagin maximum principle 34d23 92d30 92-10 49j15 Biotechnology TP248.13-248.65 Physics QC1-999 Mentuda Cheryl Q. Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control
description	Dengue is the most common mosquito-borne viral infection transmitted disease. It is due to the four types of viruses (DENV-1, DENV-2, DENV-3, DENV-4), which transmit through the bite of infected Aedes aegypti and Aedes albopictus female mosquitoes during the daytime. The first globally commercialized vaccine is Dengvaxia, also known as the CYD-TDV vaccine, manufactured by Sanofi Pasteur. This paper presents a Ross-type epidemic model to describe the vaccine interaction between humans and mosquitoes using an entomological mosquito growth population and constant human population. After establishing the basic reproduction number ℛ0, we present three control strategies: vaccination, vector control, and the combination of vaccination and vector control. We use Pontryagin’s minimum principle to characterize optimal control and apply numerical simulations to determine which strategies best suit each compartment. Results show that vector control requires shorter time applications in minimizing mosquito populations. Whereas vaccinating the primary susceptible human population requires a shorter time compared to the secondary susceptible human.
format	article
author	Mentuda Cheryl Q.
author_facet	Mentuda Cheryl Q.
author_sort	Mentuda Cheryl Q.
title	Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control
title_short	Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control
title_full	Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control
title_fullStr	Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control
title_full_unstemmed	Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control
title_sort	optimal control of a dengue-dengvaxia model: comparison between vaccination and vector control
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/a5ce12f447d748b1935bbe939a196507
work_keys_str_mv	AT mentudacherylq optimalcontrolofadenguedengvaxiamodelcomparisonbetweenvaccinationandvectorcontrol
_version_	1718371767597137920

Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control

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