Optimal control treatment and vaccination effect on SEIR epidemic model with nonlinear incidence

Abstract

The control of infectious diseases could be very vital these days. In this paper, we proposed an SEIR epidemic version with nonlinear incidence. We examine the model for the existence of a completely unique positive and bounded solution. To evaluate the contagiousness of the diseases and to check the proposed version for local and global stability at the disease free and endemic equilibrium points. We decide the reproduction number R0. We additionally investigate the influence of model parameters on reproduction number R0 through appearing sensitive analysis. The primary goal of this study is carried out extraordinary diseases manipulate strategies to decide the most useful one. The numerical findings monitor that the proposed optimum control method for control of SEIR is more effective in reducing the variety of infected population.