Dynamical analysis of the SIS epidemic model in cluster events

ABSTRACT

Considering individuals’ aggregation behavior, we study the SIS (Susceptible-Infected-Susceptible) epidemic model in a modified activity driven network (ADN). The relations among individuals are divided into three categories strong links (SLs), the first kind of weak links (FWLs) and the second kind of weak links (SWLs). Based on the mean field approximation, we theoretically calculate the epidemic threshold condition while the strong links structure is a homogeneous or a heterogeneous network, respectively. Finally, we provide some numerical examples that support our theoretical results.