Electron. J. Differential Equations, Vol. 2024 (2024), No. 59, pp. 1-13.
Optimal switching of vaccination for an infectious disease model
Shraddha Salwahan, Syed Abbas, Abdessamad Tridane
Abstract:
We study a switched SIHR (Susceptible Infected Hospitalized Recovered) model
for infectious diseases. The aim is to find the most effective switching
signal to manage the disease's effects as effectively as maintaining a
continuous vaccination program. A nonlinear, non-convex optimal control
problem of the switched system is converted into a linear and convex
optimal control problem by applying the theory of moments and semi-definite
programming. Finally, some numerical simulations are performed to compare
continuous vaccination programs and optimal switching of vaccination control.
Submitted August 26, 2024. Published October 8, 2024.
Math Subject Classifications: 34D20, 34A38, 92B05.
Key Words: Stability analysis; switched system; optimal vaccination.
DOI: 10.58997/ejde.2024.59
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Shraddha Salwahan
School of Mathematical and Statistical Sciences
Indian Institute of Technology Mandi
Kamand (H.P.) - 175005, India
email: ss14.salwahan@gmail.com
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Syed Abbas
School of Mathematical and Statistical Sciences
Indian Institute of Technology Mandi
Kamand (H.P.) - 175005, India
email: sabbas.iitk@gmail.com, abbas@iitmandi.ac.in
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Abdessamad Tridane
Department of Mathematical Sciences
United Arab Emirates University
Al Ain P.O. Box 15551, UAE
email: a-tridane@uaeu.ac.ae
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