Dynamical analysis of a IWSR rumor spreading model with considering the self-growth mechanism and indiscernible degree

Abstract

Propagation of rumor, as one of the most important aspects of spreading dynamics on networks, which is often accompanied by the self-growth of individuals and indiscernible degree of events, and the analysis of this phenomenon can help us to better understand the information dissemination in the social network. Here, with the wiseman supplemented to the classical ignorant–spreader–stifler ( ISR) rumor spreading model, a modified ignorant–wiseman–spreader–stifler (IWSR) model is established with self-growth mechanism by considering indiscernible degree of events. By mean-field equations of IWSR model, the spreading thresholdλc is calculated to describe the theory of steady state dynamics of the rumor spreading. Numerical simulation is performed to assess the influence of self-growth of individual and indiscernible degree of events on dynamic spreading process. The results show that when the spreading rate λ is smaller than the threshold λc, the rumor will not spread in the population; the stronger the self-growth ability of the individual is, the smaller the range of rumor will be; the higher the indiscernible degree of events is, the greater influence of the rumor; These obtained findings in the present study could not only elaborate our understandings of spreading dynamics in network, but also provide us with an insight to develop effective strategies of inhibiting rumor propagation.