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      Dynamic Spreading Model of Passenger Group Panic considering Official Guidance Information in Subway Emergencies

      1 , 2 , 3 , 2
      Mathematical Problems in Engineering
      Hindawi Limited

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          Abstract

          Safety concerns are increasing as rail transportation develops at a fast pace. When emergencies erupt in the course of transportation, panic will spread among passengers. Subway operators should understand how the emotions of passengers spread and how the guidance instructions work, in order to effectively deter the transmission of panic. Based on the models of system dynamics, transmission dynamics, and contagious disease, the essay constructs a dynamic transmission model for passenger panic inside the carriage, incorporating the official guidance instructions. Then, the essay utilizes Routh–Hurwitz criteria and analyzes the stability equilibrium of the dynamic differential equation. Mathematical analysis and simulation tests have verified the validity of the model and stability conditions. Finally, it is proved in the essay by mathematical analysis and simulation tests that official guidance instructions can effectively control the spread of panic and quickly stabilize the system. Thus, the essay helps subway operators to come up with clear official guidance, so as to find quick solutions and prevent escalation of panic due to lack of trust.

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          Most cited references29

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          Effects of awareness diffusion and self-initiated awareness behavior on epidemic spreading - An approach based on multiplex networks

          Highlights • The interplay between the epidemic spreading and the diffusion of awareness is studied in multiplex networks. • Unaware individuals can be informed by aware neighbors in information network and self-awareness induced by the infected neighbors in contact networks. • The effects of awareness diffusion and self-initiated awareness on the epidemic threshold and the density of infection are investigated. • Our findings show that the local or global information based self-awareness can reduce the density of infection but cannot alter the epidemic threshold.
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            Emergency Evacuations, Panic, and Social Psychology

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              Optimal control of an SIVRS epidemic spreading model with virus variation based on complex networks

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                Author and article information

                Journal
                Mathematical Problems in Engineering
                Mathematical Problems in Engineering
                Hindawi Limited
                1024-123X
                1563-5147
                October 23 2019
                October 23 2019
                : 2019
                : 1-17
                Affiliations
                [1 ]School of Business Administration Northeastern University, Shenyang, Liaoning 110000, China
                [2 ]School of Information Engineering Shenyang University, Shenyang, Liaoning 110044, China
                [3 ]School of Management Science and Engineering Dongbei University of Finance and Economics, Dalian, Liaoning 116025, China
                Article
                10.1155/2019/4691641
                a72497d5-ad33-4197-bbad-f71c83c7a21c
                © 2019

                http://creativecommons.org/licenses/by/4.0/

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