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.
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