In the past decades, many authors have used the susceptible–infected–recovered model to study the impact of the disease spreading on the evolution of the infected individuals. However, few authors focused on the temporal unfolding of the susceptible individuals. In this paper, we study the...

The separatrices between the healthy and endemic states in the bistable regime and issues related to determining the critical infected fraction i(crit) in a recently proposed epidemic model on an adaptive network are analyzed. The epidemic follows the susceptible–infected–susceptible (SIS)...

We study a stochastic process describing the onset of spreading dynamics of an epidemic in a population composed of individuals of three classes: susceptible (S), infected (I), and recovered (R). The stochastic process is defined by local rules and involves the following cyclic process:...