Stability analysis and control strategies for a new SIS epidemic model in heterogeneous networks

In this research, a new SIS (susceptible-infected-susceptible) epidemic model is proposed. Unlike most other models, our model considers the infection rate of multiple edges interfering with one another in complex networks. The stability of the disease-free equilibrium, the basic reproduction number R-0, the uniqueness and the global stability of the endemic equilibrium are studied by using the concepts of next-generation matrix, reduction to absurdity, induction and piecewise continuous Lyapunov function. Moreover, some disease control strategies are given. Finally, some numerical simulations are given to confirm the theoretical analysis. (C) 2020 Elsevier Inc. All rights reserved.