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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

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