In this paper we propose an analytic model for describing the epidemic spreading action on the one-dimensional small-world network. Based on the model, the epidemic spreading behaviors without immune strategy and with immune strategy are studied under different conditions. The obtained results...

There is no term that better describes the essential features of human society than complexity. On various levels, from the decision-making processes of individuals, through to the interactions between individuals leading to the spontaneous formation of groups and social hierarchies, up to the...

Many real-world networks exhibit community structure where vertices belong to one or more communities. Recent studies show that community structure plays an import role in epidemic spreading. In this paper, we investigate how the extent of overlap among communities affects epidemics. In order to...

Recent empirical observations suggest a heterogeneous nature of human activities. The heavy-tailed inter-event time distribution at the population level is well accepted, while whether the individual acts in a heterogeneous way is still under debate. Motivated by the impact of temporal...

Two key features of social networks are the community structure and the high clustering coefficient. For understanding their influences on dynamical processes, we present a model with both an adjustable clustering coefficient and an adjustable degree of community. This model has an invariant...

Exploring temporal behaviors of the epidemic spreading is of particular importance, in which field an interesting phenomenon of hierarchical spreading cascade has already been demonstrated. By taking into account the effect of density of infected neighbors around an individual in the definition...