![]() Physica A: Statistical Mechanics and its Applications, Elsevier, vol. " Modelling rumors: the no plane Pentagon French hoax case," The European Physical Journal B: Condensed Matter and Complex Systems, Springer EDP Sciences, vol. " The effect of the forget-remember mechanism on spreading," " Stochastic epidemics and rumours on finite random networks," Isham, Valerie & Harden, Simon & Nekovee, Maziar, 2010.Suggested Citationġ998-23, Tilburg University, Center for Economic Research.Ĥ195bb68-ae50-45ec-9b4b-d, Tilburg University, School of Economics and Management. Moreover, the forgetting and remembering mechanisms of hibernators postpone the rumor terminal time and reduce the maximum rumor influence. Also Runge–Kutta method is used for numerical simulation which shows that the direct link from the ignorants to the stiflers advances the rumor terminal time and reduces the maximum rumor influence. We discuss the spreading threshold and find the relationship between the final size of the rumor and two probabilities. ![]() Then a steady-state analysis is conducted to investigate the final size of the rumor spreading under various spreading rate, stifling rate, forgetting rate, and average degree of the network. We derive mean-field equations that describe the dynamics of the SIHR model in social networks. ![]() The model extends the classical Susceptible-Infected-Removed (SIR) rumor spreading model by adding a direct link from ignorants to stiflers and a new kind of people-Hibernators. In this paper, a new rumor spreading model, Susceptible-Infected-Hibernator-Removed (SIHR) model, is developed. There are significant differences between rumor spreading and epidemic spreading in social networks, especially with consideration of the mutual effect of forgetting and remembering mechanisms. ![]()
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