Publication: Optimal control of dengue transmission with vaccination
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Issued Date
2021-08-01
Resource Type
ISSN
22277390
Other identifier(s)
2-s2.0-85112397573
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Mahidol University
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SCOPUS
Bibliographic Citation
Mathematics. Vol.9, No.15 (2021)
Suggested Citation
Anusit Chamnan, Puntani Pongsumpun, I. Ming Tang, Napasool Wongvanich Optimal control of dengue transmission with vaccination. Mathematics. Vol.9, No.15 (2021). doi:10.3390/math9151833 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/77379
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Title
Optimal control of dengue transmission with vaccination
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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.