Abstract
Abstract 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 R0, 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.
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