Control Strategies for Switching SIS Epidemic Models with Multiple Equilibrium Points

This paper studies a class of hybrid susceptible-infective-susceptible (SIS) epidemic models in the constant total population in the form of switched systems with multiple equilibria. First, this paper formulated a switching SIS epidemic model having three different equilibria. Then, several sufficient conditions of Lyapunov stability are derived for switching the SIS epidemic model with multiple equilibria in this paper. Finally, two numerical examples are performed to show the effectiveness and practicality of the Lyapunov stability results obtained in this paper for such kinds of switching nonlinear systems with multiple equilibria.