Mathematical models of dengue disease with vaccination in Thailand: stability analyses and pptimal control

Name: Anusit Chamnan

LCSH: Hemorrhagic fever -- Mathematical models

LCSH: Vaccination

Abstract: Dengue fever is caused by four serotypes of the dengue virus: DEN-1, DEN-2, DEN-3, and DEN-4. The chimeric yellow fever dengue tetravalent dengue vaccine (CYD-TDV) is a vaccine currently used in Thailand. This research investigates what the optimal control is when individuals having documented past dengue infection history are vaccinated and before the initial infection. Our mathematical model is the Susceptible-Infected-Recovered (SIR) and Susceptible-Exposed-Infected-Recovered (SEIR) model in series configuration for the human population and the Susceptible-Infected (SI) model for the vector population. Both dynamical models for the two populations were recast as optimal control problems with two optimal control parameters. The analysis showed that the equilibrium states were locally and globally asymptotically stable. The conditions for locally and globally asymptotically stability are established. The numerical solutions of the control systems and conclusions are presented

King Mongkut's Institute of Technology Ladkrabang. Central Library

Address: BANGKOK

Email: Lifelong@kmitl.ac.th

Name: Puntani Pongsumpun

Role: Thesis Advisor

Email : puntani.po@kmitl.ac.th

Name: Napasool Wongvanich

Role: Thesis Co-Advisor

Email : napasool.wo@kmitl.ac.th

Created: 2022

Modified: 2566-05-24

Issued: 2023-05-24

วิทยานิพนธ์/Thesis

application/pdf

eng

DegreeName: Doctor of philosophy

Descipline: Applied Mathematics

Grantor: King Mongkut's Institute of Technology Ladkrabang

Level: Doctoral Degree

©copyrights King Mongkut's Institute of Technology Ladkrabang

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