Dynamics Analysis and Vaccination-Based Sliding Mode Control of a More Generalized SEIR Epidemic Model

Abstract

In this paper, based on the latest discovery of epidemiology, a more general SEIR epidemic model is firstly proposed and its main properties such as positivity and boundedness have been analyzed and proven. Meanwhile, a method is proposed to solve basic reproduction number. In addition, a vaccination-based sliding mode control strategy is designed to guarantee that the proportion of infected subpopulation in the total population converge to the desired signal. Finally, by using computer simulation, the positivity and boundedness of the epidemic model and some control strategies are verified and evaluated, respectively.

Keywords

• Stability
• Lyapunov function
• SEIR epidemic model
• sliding mode control
• numerical simulation