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Minimizing the impact of a rumor via isolation and conversion

Author

Listed:
  • Zhao, Juan
  • Yang, Lu-Xing
  • Zhong, Xiang
  • Yang, Xiaofan
  • Wu, Yingbo
  • Tang, Yuan Yan

Abstract

The wide spread of a false rumor could cause huge losses. Isolating some rumor spreaders is an effective approach to limiting the spread of the rumor, at the cost of violating human rights. This paper focuses on developing an isolation–conversion strategy to minimize the impact of the rumor. Based on a novel rumor–truth mixed spreading model, we measure the impact of the rumor. On this basis, we model the isolation–conversion problem as an optimal control problem. We show that the optimal control problem admits an optimal control, and we present the optimality system for solving the optimal control problem. We give some optimal isolation–conversion strategies by solving the corresponding optimality systems. To our knowledge, this is the first time the isolation–conversion problem is treated in this way.

Suggested Citation

  • Zhao, Juan & Yang, Lu-Xing & Zhong, Xiang & Yang, Xiaofan & Wu, Yingbo & Tang, Yuan Yan, 2019. "Minimizing the impact of a rumor via isolation and conversion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119304765
    DOI: 10.1016/j.physa.2019.04.103
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    Citations

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    Cited by:

    1. Wang, Chuanbiao & Liu, Ruiying & Wang, Yan, 2023. "The spread dynamics model of the interaction between rumors and derivative rumors in emergencies under the control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. Chen, Jian & Yang, Lu-Xing & Yang, Xiaofan & Tang, Yuan Yan, 2020. "Cost-effective anti-rumor message-pushing schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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