HAL CCSD
Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control
Mentuda, Cheryl
Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 (LAMFA) ; Université de Picardie Jules Verne (UPJV)-Centre National de la Recherche Scientifique (CNRS)
ISSN: 2544-7297
Computational and Mathematical Biophysics
de Gruyter
hal-03886000
https://u-picardie.hal.science/hal-03886000
https://u-picardie.hal.science/hal-03886000
Computational and Mathematical Biophysics, 2021, 9 (1), pp.198-213. ⟨10.1515/cmb-2020-0124⟩
DOI: 10.1515/cmb-2020-0124
info:eu-repo/semantics/altIdentifier/doi/10.1515/cmb-2020-0124
en
[MATH]Mathematics [math]
info:eu-repo/semantics/article
Journal articles
Abstract 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 ℛ 0 , 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.
2021-01-01