Dynamics and intermittent stochastic stabilization of a rumor spreading model with guidance mechanism in heterogeneous network |
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Affiliation: | 1.School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China;2.College of Arts and Sciences, Beijing Normal University at Zhuhai, Zhuhai 519087, China |
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Abstract: | We propose a novel rumor propagation model with guidance mechanism in heterogeneous complex networks. Firstly, the sharp threshold of rumor propagation, global stability of the information-equilibrium and information-prevailing-equilibrium under R0 <1 and R0> 1 is carried out by Lyapunov method and LaSalle's invariant principle. Next, we design an aperiodically intermittent stochastic stabilization method to suppress the rumor propagation. By using the Itô formula and exponential martingale inequality, the expression of the minimum control intensity is calculated. This method can effectively stabilize the rumor propagation by choosing a suitable perturb intensity and a perturb time ratio, while minimizing the control cost. Finally, numerical examples are given to illustrate the analysis and method of the paper. |
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Keywords: | guidance mechanism heterogenous network global dynamic analysis aperiodically intermittent stochastic stabilization |
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