Study on the dynamics of network rumor spreading model in emergencies in universities
Based on the characteristics of the spread of online rumors in emergencies in universities,the university popu-lation is divided into three categories:the ignorant,the rumor spreaders,and the managers(university teachers and student volunteer propagandists).A rumor model with saturated contact rate is established.And the existence of the equilibria of the model is proved,and the stability of the equilibria is analyzed,the sufficient conditions for the existence of Hopf bifurcation are given by using bifurcation theory.On this basis,the dynamical behavior of the rumor propagation model is further discussed u-sing numerical simulation.The results show that only when the management intensity is high enough to satisfy the threshold condition,can the rumor be effectively controlled,and the greater the management intensity,the shorter the rumor control time.This provides a theoretical basis and quantitative basis for people to formulate prevention and control measures for online rumors in emergencies in universities.
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