Journal
MATHEMATICS
Volume 9, Issue 15, Pages -Publisher
MDPI
DOI: 10.3390/math9151833
Keywords
dengue disease; optimal control; vaccination
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Funding
- School of Science, King Mongkut's Institute of Technology Ladkrabang, Thailand
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Dengue disease, caused by four serotypes of the dengue virus, is targeted by the CYD-TDV vaccine currently used in Thailand. This research focuses on determining optimal control measures when only individuals with a history of past dengue infection are vaccinated.
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.
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