An uncertain SIR rumor spreading model
Hang Sun, Yuhong Sheng, Qing Cui
Abstract
Abstract In this paper, an uncertain SIR (spreader, ignorant, stifler) rumor spreading model driven by one Liu process is formulated to investigate the influence of perturbation in the transmission mechanism of rumor spreading. The deduced process of the uncertain SIR rumor spreading model is presented. Then an existence and uniqueness theorem concerning the solution is proved. Moreover, the stability of uncertain SIR rumor spreading differential equation is proved. In addition, the influence of different parameters on rumor spreading is analyzed through numerical simulation. This paper also presents a paradox of stochastic SIR rumor spreading model.
Topics & Concepts
RumorUniquenessOrdinary differential equationMathematicsPerturbation (astronomy)Applied mathematicsEpidemic modelPartial differential equationDifferential equationMathematical economicsMathematical analysisPhysicsLawPopulationDemographyPolitical scienceQuantum mechanicsSociologyOpinion Dynamics and Social InfluenceComplex Network Analysis TechniquesMathematical and Theoretical Epidemiology and Ecology Models