Dynamics of a Delayed Rumor Propagation Model with Consideration of Psychological Factors and Forgetting Mechanism

Authors

Mouhcine Naim, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoFollow
Fouad Lahmidi, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoFollow
Abdelwahed Namir, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoFollow

Author Country (or Countries)

Morocco

Abstract

A delayed rumor propagation model with psychological factors and forgetting mechanism is formulated. The local stability of the rumor-free equilibrium and the rumor-prevailing equilibrium is discussed by analyzing the corresponding characteristic equations. Using Lyapunov functional, we prove that the rumor-free equilibrium is globally asymptotically stable when the basic reproduction number R0 ≤ 1. Also, a sufficient condition is obtained for the global asymptotic stability of the rumor-prevailing equilibrium when R0 > 1. Numerical examples are presented to illustrate the theoretical results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140408

Recommended Citation

Naim, Mouhcine; Lahmidi, Fouad; and Namir, Abdelwahed (2020) "Dynamics of a Delayed Rumor Propagation Model with Consideration of Psychological Factors and Forgetting Mechanism," Applied Mathematics & Information Sciences: Vol. 14: Iss. 4, Article 8.
DOI: http://dx.doi.org/10.18576/amis/140408
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss4/8