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Dynamics of a Delayed Rumor Propagation Model with Consideration of Psychological Factors and Forgetting Mechanism |
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PP: 597-604 |
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doi:10.18576/amis/140408
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Author(s) |
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Mouhcine Naim,
Fouad Lahmidi,
Abdelwahed Namir,
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Abstract |
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| 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. |
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