@Article{JICS-13-033, author = {HongxingYao, Lijuan Wang and Jingjing Yao}, title = {Research on the rumor spreading model with noise inference in the homogeneous network}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {13}, number = {1}, pages = {033--043}, 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 quickly reach to the peak in the shorter time with the bigger of the transmissions rate;(2)The high probability spreaders not only pay more attention to rumors but also more likely to spread;(3)There have a negative correlation between the spreading range of rumors and noise intensity. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22461.html} }