General Optimal Control Problem

Optimal control and cost-effectiveness analysis for a COVID-19 model with individual protection awareness

“…Next, we will use the Pontryagin’s Maximum Principle [60] to derive the necessary conditions for the optimal control function, transform the optimal control problem into a Hamiltonian function minimization problem. The Hamiltonian is written as where , is a comorphic variable associated with , and .…”

“…In this section, the numerical simulation part of the optimal control problem is discussed using the Forward-Backward Sweep method [60] and the results are presented graphically. Model (10) is iterated forward in time, with the accompanying system iterating backward in time.…”