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In the era of the rapid development of the Internet, the threshold forinformation spreading has become lower. Most of the time, rumors, as a specialkind of information, are harmful to society. And once the rumor appears, thetruth will follow. Considering that the rumor and truth compete with each otherlike light and darkness in reality, in this paper, we study a rumor spreadingmodel in the homogeneous network called 2SIH2R, in which there are bothspreader1(people who spread the rumor) and spreader2(people who spread thetruth). In this model, we introduced discernible mechanism and confrontationmechanism to quantify the level of people's cognitive abilities and thecompetition between the rumor and truth. By mean-field equations, steady-stateanalysis and numerical simulations in a generated network which is closed andhomogeneous, some significant results can be given: the higher discernible rateof the rumor, the smaller influence of the rumor; the stronger confrontationdegree of the rumor, the smaller influence of the rumor; the large averagedegree of the network, the greater influence of the rumor but the shorterduration. The model and simulation results provide a quantitative reference forrevealing and controlling the spread of the rumor.

Spreading dynamics of a 2SIH2R, rumor spreading model in the homogeneous network