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Dynamics analysis and control of positive–negative information propagation model considering individual conformity psychology

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Abstract

Aiming at the dissemination of malicious information on online social networks, this paper proposes a new positive–negative information propagation model that incorporates the conformist psychological factors of communicators during the dissemination process. Firstly, the local and global stability of information-free equilibrium is analyzed and three types of information-spread equilibria are obtained. The persistence of information spreading is expounded in detail. Secondly, two different control strategies are designed to suppress the spread of negative information on online social networks. One is the real-time optimal control with minimal control cost that enables the negative information to be effectively controlled in the expected time by executing two collaborative intervention methods, and the other is the event-triggered impulsive control, in which the control instant is determined by an event-triggered function. Finally, the above theoretical results are verified by some numerical simulations and a practical example.

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Authors and Affiliations

  1. School of Mathematics Science, **njiang Normal University, Urumqi, 830017, China

    Yutao Yan & Shuzhen Yu

  2. College of Mathematics and System Sciences, **njiang University, Urumqi, 830017, China

    Zhiyong Yu & Haijun Jiang

  3. School of Mathematics and Statistics, Yili Normal University, Yining, 835000, China

    Haijun Jiang

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  1. Yutao Yan
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  2. Shuzhen Yu
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Correspondence to Shuzhen Yu.

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This work was supported in part by the Natural Science Foundation of **njiang Uygur Autonomous Region under Grant No. 2022D01B111, in part by the Youth Top Talent Progect of **njiang Normal University under Grant No. XJNUQB2023-15, and in part by the Tianchi Talent Training Program.

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Yan, Y., Yu, S., Yu, Z. et al. Dynamics analysis and control of positive–negative information propagation model considering individual conformity psychology. Nonlinear Dyn (2024). https://doi.org/10.1007/s11071-024-09894-0

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