Node-based SIRS model on heterogeneous networks: Analysis and control

In this paper, a node-base susceptible-infected-recovered-susceptible (SIRS) model on heterogeneous networks is proposed. The condition for global exponential stability of the disease-free case is obtained via Lyapunov theory. Furthermore, aiming at regulating the probabilities of being infected and recovered to the origin, the controlled recovering rates are designed. Taking practical implementation into consideration, an alternative approach is provided to calculate the feasible control inputs. Finally, several numerical simulations validate our results.