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 OALibJ  Vol.2 No.11 , November 2015
Qualitative Analysis of a Rumor Transmission Model with Incubation Mechanism
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.
Cite this paper: Al-Tuwairqi, S. , Al-Sheikh, S. and Al-Amoudi, R. (2015) Qualitative Analysis of a Rumor Transmission Model with Incubation Mechanism. Open Access Library Journal, 2, 1-12. doi: 10.4236/oalib.1102040.
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