Optimal control of the dengue dynamical transmission with vertical transmission

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dc.contributor.authorPongsumpun, Puntani
dc.contributor.authorTang, I. Ming
dc.contributor.authorWongvanich, Napasool
dc.date.accessioned2026-08-06T10:26:33Z
dc.date.available2026-08-06T10:26:33Z
dc.date.issued2019-12-01
dc.description.abstractDengue disease is found in tropical and subtropical regions around the world. Dengue virus is the cause of dengue fever, dengue hemorrhagic fever, and dengue shock syndrome. It consists of 4 serotypes: DEN-1, DEN-2, DEN-3, and DEN-4. There are two modes of transmission for dengue virus in mosquito: horizontal transmission and vertical transmission. The mosquito can be infected when it bites an infectious human by horizontal transmission, but there can also be vertical transmission through sexual contact with an infected mosquito. This research presents a control mechanism based on our previously developed dengue model with vertical transmission. The two policies, namely vaccination and insecticide administration (Policy 1) and isolation and insecticide administration (Policy 2) are considered. The use of Pontryargin’s maximum principle allowed necessary and optimality conditions, thus facilitating the optimal control to be developed. Numerical solutions of our control systems and the conclusions of our two policies are presented.
dc.identifier.citationAdvances in Difference Equations, 2019(1), 2019
dc.identifier.doi10.1186/s13662-019-2120-6
dc.identifier.issn16871839
dc.identifier.other2-s2.0-85065639917
dc.identifier.urihttps://dspace.kmitl.ac.th/handle/123456789/10413
dc.sourceAdvances in Difference Equations
dc.subjectDengue fever
dc.subjectEpidemiological control
dc.subjectOptimal control
dc.subjectVertical transmission
dc.titleOptimal control of the dengue dynamical transmission with vertical transmission
dc.typeArticle

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