Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 59, pp. 1-13.

Title: Optimal switching of vaccination for an infectious disease model

Authors: Shraddha Salwahan (Indian Institute of Tech. Mandi, Kamand, India)
         Syed Abbas (Indian Institute of Tech. Mandi, Kamand, India)
         Abdessamad Tridane (United Arab Emirates Univ.,Al Ain, UAE)

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 08, 2024.
Math Subject Classifications: 34D20, 34A38, 92B05.
Key Words: Stability analysis; switched system; optimal vaccination.