Qualitative Analysis of a Rumor Transmission Model with Incubation Mechanism - Open Access Library Journal

OALibJ > Vol.2 No.11, November 2015

Open Access Library Journal

Volume 2, Issue 11 (November 2015)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 1.18 Citations

Qualitative Analysis of a Rumor Transmission Model with Incubation Mechanism ()

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DOI: 10.4236/oalib.1102040 1,146 Downloads 2,083 Views Citations

Author(s)

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

Affiliation(s)

Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

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.

KEYWORDS

Rumor Transmission Model, Local Stability Analysis, Global Stability Analysis

Share and Cite:

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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