Cane, V. (1966) A Note on the Size of Epidemics and the Number of People Hearing a Rumor. Journal of the Royal Statistical Society, Series B (Methodological), 28, 487-490.

has been cited by the following article:

• TITLE: Qualitative Analysis of a Rumor Transmission Model with Incubation Mechanism

  AUTHORS: Salma Al-Tuwairqi, Sarah Al-Sheikh, Reem Al-Amoudi

  KEYWORDS: Rumor Transmission Model, Local Stability Analysis, Global Stability Analysis

  JOURNAL NAME: Open Access Library Journal, Vol.2 No.11, November 11, 2015

  ABSTRACT: In this paper, we propose a rumor transmission model with incubation period considering the fact that incubators may move to stifler class and susceptibles may move to spreader class. The model is formulated with constant recruitment and varying total population. The full system of the model is studied qualitatively producing rumor-free and rumor-existence equilibriums. The existence conditions of the equilibriums are investigated. Moreover, the local and global stability analysis of both equilibriums is examined. Furthermore, numerical simulations are used to support the qualitative analysis. Finally, the impact of different management strategies on the dissipation of rumors is analyzed numerically by varying key parameters in the model.