NDLI: Dynamic Analysis of a Stochastic Rumor Propagation Model with Regime Switching

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Dynamic Analysis of a Stochastic Rumor Propagation Model with Regime Switching

Content Provider	MDPI
Author	Jia, Fangju Cao, Chunzheng
Copyright Year	2021
Description	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 $Rs$ 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 $Rs>1$ . The rumor becomes extinct exponentially with probability one when $Rs<1$ .
Starting Page	3277
e-ISSN	22277390
DOI	10.3390/math9243277
Journal	Mathematics
Issue Number	24
Volume Number	9
Language	English
Publisher	MDPI
Publisher Date	2021-12-16
Access Restriction	Open
Subject Keyword	Mathematics Industrial Engineering Rumor Propagation Model Regime Switching Ergodic Stationary Distribution Extinction Threshold
Content Type	Text
Resource Type	Article

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