Dynamical analysis of a discrete-time SIS epidemic model on complex networks

In this letter, a discrete SIS (susceptible–infected–susceptible) epidemic model on complex networks is presented. Firstly, the non-negativity and the boundedness of solutions are studied. Secondly, the basic reproduction number $R_0$ is calculated. Thirdly, applying the Lyapunov direct method of difference equations, the global asymptotic stability of disease free equilibrium is investigated. Finally, there give some simulations.