DYNAMICAL ANALYSIS AND OPTIMAL CONTROL OF SEIR EPIDEMIC MODEL

Abstract

Stability analysis and optimum control make up the SEIR (Susceptible, Exposed, Infected, and Recovered) epidemic model that we provide in this article. Both of these factors are critical for comprehending the pandemic. The data for the reproduction number R₀ is complete. By analysing the asymptotical stability, we may locate the disease-free and endemic equilibrium points. It has been shown that a limited framework does in fact exist, and that the answers are not negative. Within the context of the control issue, two primary control strategies are considered. The immunisation and treatment plans are as follows. We outline the essential requirements for the initial order so that you may have the maximum degree of control that is practically possible. Numerical simulations use the Runge-Kutta fourth order approach to ascertain a solution to the derived optimality issue.