About one model of influence in social networks

In this paper we provide a model of influence in social networks and study some of its properties. Primary purpose of the research was the study of influence matrix. The influence is considered as a function dependent on time, status and opinion of agents, for further analysis we give the interpretation of opposed opinions of agents. We also give two simple examples of social network based on this model and several cases of convergence of influence matrix. We show some differences between structure of this model with a limit matrix of influence and several other influence models of social networks.