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Stability Analysis of a Delayed Rumor Propagation Model

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Abstract

In this paper, we investigated a novel rumor spreading model with latent and constant recruitment. The delay is introduced into the model in order to modeled the latent period. The local dynamics of the model is completely determined by using concepts from the Dynamical Systems Theory. The stability of equilibrium points is established, according to a threshold number \(R_0\). Finally, some numerical simulations are performed to verify the theoretical analysis.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco

    Hassan Laarabi, Mostafa Rachik & Jamal Bouyaghroumni

  2. Department of Mathematics and Computer Science, Poly-disciplinary Faculty, Cadi Ayyad University, P.O. Box 4162, Safi, Morocco

    Abdelhadi Abta

Authors
  1. Hassan Laarabi
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  2. Abdelhadi Abta
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  3. Mostafa Rachik
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  4. Jamal Bouyaghroumni
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Correspondence to Abdelhadi Abta.

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Laarabi, H., Abta, A., Rachik, M. et al. Stability Analysis of a Delayed Rumor Propagation Model. Differ Equ Dyn Syst 24, 407–415 (2016). https://doi.org/10.1007/s12591-015-0251-0

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  • DOI: https://doi.org/10.1007/s12591-015-0251-0

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