2SI2R rumor spreading model in homogeneous networks

Similarities exist between the rumor spreading and the infectious disease transmission. Some researches on the disease spreading involve two or more diseases which are cross-infection propagation. Similarly, two or several kinds of rumors may spread at the same time. In this paper, we study a rumor spreading model called 2SI2R model, in which two types of rumors spread simultaneously among the crowd. Derived from mean-field equations, the dynamics of the 2SI2R rumor spreading model in homogeneous networks is elucidated. Employing the method on infectious diseases, the basic reproduction number, the stability of the disease-free equilibrium, and the final size of rumor are investigated and discussed. In the numerical simulation part, the interaction of two rumors and the impact of different parameters on the rumor spreading are discussed.