Artículos de revistas
Rumor Propagation Model: An Equilibrium Study
Fecha
2010Registro en:
MATHEMATICAL PROBLEMS IN ENGINEERING, 2010
1024-123X
10.1155/2010/631357
Autor
PIQUEIRA, Jose Roberto C.
Institución
Resumen
Compartmental epidemiological models have been developed since the 1920s and successfully applied to study the propagation of infectious diseases. Besides, due to their structure, in the 1960s an interesting version of these models was developed to clarify some aspects of rumor propagation, considering that spreading an infectious disease or disseminating information is analogous phenomena. Here, in an analogy with the SIR (Susceptible-Infected-Removed) epidemiological model, the ISS (Ignorant-Spreader-Stifler) rumor spreading model is studied. By using concepts from the Dynamical Systems Theory, stability of equilibrium points is established, according to propagation parameters and initial conditions. Some numerical experiments are conducted in order to validate the model.