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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| Format: | Article |
| Language: | English |
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De Gruyter
2021-11-01
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| Series: | Computational and Mathematical Biophysics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/cmb-2020-0124 |
| _version_ | 1818487996893102080 |
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| author | Mentuda Cheryl Q. |
| author_facet | Mentuda Cheryl Q. |
| author_sort | Mentuda Cheryl Q. |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-10T16:45:27Z |
| format | Article |
| id | doaj.art-a5ce12f447d748b1935bbe939a196507 |
| institution | Directory Open Access Journal |
| issn | 2544-7297 |
| language | English |
| last_indexed | 2024-12-10T16:45:27Z |
| publishDate | 2021-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Computational and Mathematical Biophysics |
| spelling | doaj.art-a5ce12f447d748b1935bbe939a1965072022-12-22T01:41:04ZengDe GruyterComputational and Mathematical Biophysics2544-72972021-11-019119821310.1515/cmb-2020-0124Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector ControlMentuda Cheryl Q.0Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, CNRS UMR 7352, Université de Picardie Jules Verne, 80069 Amiens, France; Department of Mathematics, Caraga State University, Butuan City, PhilippinesDengue 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.https://doi.org/10.1515/cmb-2020-0124dengvaxiavaccinationℛ0optimal controlpontryagin maximum principle34d2392d3092-1049j15 |
| spellingShingle | Mentuda Cheryl Q. Optimal Control of a Dengue-Dengvaxia Model: Comparison Between Vaccination and Vector Control Computational and Mathematical Biophysics dengvaxia vaccination ℛ0 optimal control pontryagin maximum principle 34d23 92d30 92-10 49j15 |
| title | 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_short | 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 |
| topic | dengvaxia vaccination ℛ0 optimal control pontryagin maximum principle 34d23 92d30 92-10 49j15 |
| url | https://doi.org/10.1515/cmb-2020-0124 |
| work_keys_str_mv | AT mentudacherylq optimalcontrolofadenguedengvaxiamodelcomparisonbetweenvaccinationandvectorcontrol |