Propagation dynamics based on social contact probability on social network

In this paper, we present an improved SIS propagation model based on social contact probability on social networks. On social networks, the contact probability between nodes is decided by their social active degree and their social distance; the contact probability of two directly connected nodes is usually less than 1; if two nodes are not directly connected, the contact probability of two nodes is decided by the length of the shortest path between them. We carried out simulation experiment on SIS model on BA scale-free network to study the influence of the social contact probability. The model provides an idea for studying the propagation rule of disease, attitude, fads, social opinion on social network.