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- Title
Optimal Control of Dengue Transmission with Vaccination.
- Authors
Chamnan, Anusit; Pongsumpun, Puntani; Tang, I-Ming; Wongvanich, Napasool
- Abstract
Dengue disease 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 only individuals having documented past dengue infection history are vaccinated. This is the present practice in Thailand and is the latest recommendation of the WHO. The model used is the Susceptible-Infected-Recovered (SIR) 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 asymptotically stable. The numerical solution of the control systems and conclusions are presented.
- Subjects
THAILAND; DENGUE viruses; DENGUE; YELLOW fever; VACCINATION; ARBOVIRUS diseases; SEROTYPES
- Publication
Mathematics (2227-7390), 2021, Vol 9, Issue 15, p1833
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math9151833