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Dynamic Analysis of a Stochastic Rumor Propagation Model with Regime Switching

Author

Listed:
  • Fangju Jia

    (School of Management and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Chunzheng Cao

    (School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China)

Abstract

We study the rumor propagation model with regime switching considering both colored and white noises. Firstly, by constructing suitable Lyapunov functions, the sufficient conditions for ergodic stationary distribution and extinction are obtained. Then we obtain the threshold R s which guarantees the extinction and the existence of the stationary distribution of the rumor. Finally, numerical simulations are performed to verify our model. The results indicated that there is a unique ergodic stationary distribution when R s > 1 . The rumor becomes extinct exponentially with probability one when R s < 1 .

Suggested Citation

  • Fangju Jia & Chunzheng Cao, 2021. "Dynamic Analysis of a Stochastic Rumor Propagation Model with Regime Switching," Mathematics, MDPI, vol. 9(24), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3277-:d:704470
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