Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 631357, 7 pages
Research Article

Rumor Propagation Model: An Equilibrium Study

Escola Politécnica da Universidade de São Paulo, Instituto Nacional de Ciência e Tecnologia para Sistemas Complexos, Avenida Prof. Luciano Gualberto, Travessa 3, no. 158, 05508-900 São Paulo, SP, Brazil

Received 8 January 2010; Revised 26 March 2010; Accepted 2 April 2010

Academic Editor: Jerzy Warminski

Copyright © 2010 José Roberto C. Piqueira. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.