Research on the rumor spreading model with noise inference in the homogeneous network

Abstract

In this paper, a dynamic I2SR model based on rumor spreading with random noise interference is proposed. Active state of the spreaders and the random noise interference in the homogeneous network can be considered. This paper divided spreaders into high probability spreaders and low probability spreaders that can be transformed. The existence and uniqueness of global positive solutions, extinction , and the spreading range of rumors be proved. Through numerical simulation, we have three conclusions as follows: (1)The spreaders can \u00a0quickly \u00a0reach \u00a0to \u00a0the \u00a0peak \u00a0in \u00a0the \u00a0shorter \u00a0time \u00a0with \u00a0the \u00a0bigger \u00a0of \u00a0the \u00a0transmissions \u00a0rate;(2)The \u00a0high probability \u00a0spreaders \u00a0not only pay \u00a0more attention to rumors but also \u00a0more \u00a0likely to spread;(3)There have \u00a0a negative correlation between the spreading range of rumors and noise intensity.