Optimal drug treatment in a simple pandemic switched system using polynomial approach

Abstract

The aim of thiswork is to investigate the optimal control of the treatment in a simple pandemic model as a switched nonlinear system.We used a newly developed approach based on the theory of moments. This approach allows to transform a nonlinear, non-convex optimal control problem to an equivalent linear and convex one. To illustrate our finding, we used the example of influenza pandemic to compare the full treatment approach to our optimal moment and time switching solution.