IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v405y2014icp380-391.html
   My bibliography  Save this article

Simulation of emotional contagion using modified SIR model: A cellular automaton approach

Author

Listed:
  • Fu, Libi
  • Song, Weiguo
  • Lv, Wei
  • Lo, Siuming

Abstract

Emotion plays an important role in the decision-making of individuals in some emergency situations. The contagion of emotion may induce either normal or abnormal consolidated crowd behavior. This paper aims to simulate the dynamics of emotional contagion among crowds by modifying the epidemiological SIR model to a cellular automaton approach. This new cellular automaton model, entitled the “CA–SIRS model”, captures the dynamic process ‘susceptible–infected–recovered–susceptible’, which is based on SIRS contagion in epidemiological theory. Moreover, in this new model, the process is integrated with individual movement. The simulation results of this model show that multiple waves and dynamical stability around a mean value will appear during emotion spreading. It was found that the proportion of initial infected individuals had little influence on the final stable proportion of infected population in a given system, and that infection frequency increased with an increase in the average crowd density. Our results further suggest that individual movement accelerates the spread speed of emotion and increases the stable proportion of infected population. Furthermore, decreasing the duration of an infection and the probability of reinfection can markedly reduce the number of infected individuals. It is hoped that this study will be helpful in crowd management and evacuation organization.

Suggested Citation

  • Fu, Libi & Song, Weiguo & Lv, Wei & Lo, Siuming, 2014. "Simulation of emotional contagion using modified SIR model: A cellular automaton approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 380-391.
    • Handle: RePEc:eee:phsmap:v:405:y:2014:i:c:p:380-391
    DOI: 10.1016/j.physa.2014.03.043
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437114002386
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2014.03.043?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Fang, Zhi-Ming & Song, Wei-Guo & Liu, Xuan & Lv, Wei & Ma, Jian & Xiao, Xia, 2012. "A continuous distance model (CDM) for the single-file pedestrian movement considering step frequency and length," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 307-316.
    2. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    3. Muramatsu, Masakuni & Nagatani, Takashi, 2000. "Jamming transition in two-dimensional pedestrian traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(1), pages 281-291.
    4. Song, Weiguo & Xu, Xuan & Wang, Bing-Hong & Ni, Shunjiang, 2006. "Simulation of evacuation processes using a multi-grid model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 492-500.
    5. Zhao, Laijun & Cui, Hongxin & Qiu, Xiaoyan & Wang, Xiaoli & Wang, Jiajia, 2013. "SIR rumor spreading model in the new media age," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 995-1003.
    6. Maniccam, S., 2005. "Effects of back step and update rule on congestion of mobile objects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 631-650.
    7. Bettencourt, Luís M.A. & Cintrón-Arias, Ariel & Kaiser, David I. & Castillo-Chávez, Carlos, 2006. "The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 513-536.
    8. Henein, Colin Marc & White, Tony, 2010. "Microscopic information processing and communication in crowd dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4636-4653.
    9. Satsuma, J & Willox, R & Ramani, A & Grammaticos, B & Carstea, A.S, 2004. "Extending the SIR epidemic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 369-375.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jeong, Darae & Lee, Chang Hyeong & Choi, Yongho & Kim, Junseok, 2016. "The daily computed weighted averaging basic reproduction number R0,k,ωn for MERS-CoV in South Korea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 190-197.
    2. Shao, Quan & Wang, Hong & Zhu, Pei & Dong, Min, 2021. "Group emotional contagion and simulation in large-scale flight delays based on the two-layer network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    3. Wang, Guanning & Chen, Tao & Hu, Xiangmin & Zheng, Huijie & Jiang, Wenyu, 2022. "Wall-following searching or area coverage searching? Simulation study of the panic evacuation considering the guidance of a single rescuer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    4. Zhao, Zhen-jun & Liu, Yong-mei & Wang, Ke-xi, 2016. "An analysis of rumor propagation based on propagation force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 263-271.
    5. Xiaoyang Ni & Haojie Zhou & Weiming Chen, 2020. "Addition of an Emotionally Stable Node in the SOSa-SPSa Model for Group Emotional Contagion of Panic in Public Health Emergency: Implications for Epidemic Emergency Responses," IJERPH, MDPI, vol. 17(14), pages 1-16, July.
    6. Rongjian Lv & Hua Li & Qiubai Sun, 2021. "Panic Spreading Model with Different Emotions under Emergency," Mathematics, MDPI, vol. 9(24), pages 1-15, December.
    7. Doménech-Carbó, Antonio & Doménech-Casasús, Clara, 2021. "The evolution of COVID-19: A discontinuous approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    8. Shao, Quan & Yuan, Jia, 2022. "Study on the disposal strategy of civil aviation passenger collective events based on evolutionary game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    9. Mao, Qinghua & Huo, Wenteng & Li, Zunshu & Liu, Xueying & Li, Yang & Wang, Heng, 2024. "Evacuation strategies for wrecked pedestrians considering emotional contagion and safety officers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    10. Li, Xingli & Guo, Fang & Kuang, Hua & Zhou, Huaguo, 2017. "Effect of psychological tension on pedestrian counter flow via an extended cost potential field cellular automaton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 47-57.
    11. Guo, Chenglin & Huo, Feizhou & Li, Chao & Li, Yufei, 2023. "An evacuation model considering the phototactic behavior of panic pedestrians under limited visual field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    12. Claudia Hazard-Valdés & Elizabeth Montero, 2023. "A Heuristic Approach for Determining Efficient Vaccination Plans under a SARS-CoV-2 Epidemic Model," Mathematics, MDPI, vol. 11(4), pages 1-32, February.
    13. Zhang, Dawei & Zhu, Haitao & Hostikka, Simo & Qiu, Shi, 2019. "Pedestrian dynamics in a heterogeneous bidirectional flow: Overtaking behaviour and lane formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 72-84.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yue, Hao & Guan, Hongzhi & Zhang, Juan & Shao, Chunfu, 2010. "Study on bi-direction pedestrian flow using cellular automata simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 527-539.
    2. Lei, Wenjun & Li, Angui & Gao, Ran & Zhou, Ning & Mei, Sen & Tian, Zhenguo, 2012. "Experimental study and numerical simulation of evacuation from a dormitory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5189-5196.
    3. Shang, Hua-Yan & Huang, Hai-Jun & Zhang, Yi-Ming, 2015. "An extended mobile lattice gas model allowing pedestrian step size variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 283-293.
    4. Huang, Rong & Zhao, Xuan & Zhou, Chenyu & Kong, Lingchen & Liu, Chengqing & Yu, Qiang, 2022. "Static floor field construction and fine discrete cellular automaton model: Algorithms, simulations and insights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    5. Zhang, Xinwei & Zhang, Peihong & Zhong, Maohua, 2021. "A dual adaptive cellular automaton model based on a composite field and pedestrian heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    6. Liu, Yixue & Mao, Zhanli, 2022. "An experimental study on the critical state of herd behavior in decision-making of the crowd evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 595(C).
    7. Zhang, Jun & Song, Weiguo & Xu, Xuan, 2008. "Experiment and multi-grid modeling of evacuation from a classroom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5901-5909.
    8. Guo, Xiwei & Chen, Jianqiao & You, Suozhu & Wei, Junhong, 2013. "Modeling of pedestrian evacuation under fire emergency based on an extended heterogeneous lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 1994-2006.
    9. De Martino, Giuseppe & Spina, Serena, 2015. "Exploiting the time-dynamics of news diffusion on the Internet through a generalized Susceptible–Infected model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 634-644.
    10. Zheng, Yaochen & Chen, Jianqiao & Wei, Junhong & Guo, Xiwei, 2012. "Modeling of pedestrian evacuation based on the particle swarm optimization algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(17), pages 4225-4233.
    11. Yue, Hao & Zhang, Junyao & Chen, Wenxin & Wu, Xinsen & Zhang, Xu & Shao, Chunfu, 2021. "Simulation of the influence of spatial obstacles on evacuation pedestrian flow in walking facilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    12. Nwaibeh, E.A. & Chikwendu, C.R., 2023. "A deterministic model of the spread of scam rumor and its numerical simulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 111-129.
    13. Li, Jun & Fu, Siyao & He, Haibo & Jia, Hongfei & Li, Yanzhong & Guo, Yi, 2015. "Simulating large-scale pedestrian movement using CA and event driven model: Methodology and case study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 304-321.
    14. Yu Song & Jia Liu & Qian Liu, 2021. "Dynamic Decision-Making Process of Evacuees during Post-Earthquake Evacuation near an Automatic Flap Barrier Gate System: A Broken Windows Perspective," Sustainability, MDPI, vol. 13(16), pages 1-19, August.
    15. Zhao, Xuedan & Xia, Long & Zhang, Jun & Song, Weiguo, 2020. "Artificial neural network based modeling on unidirectional and bidirectional pedestrian flow at straight corridors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    16. Fang, Zhi-Ming & Lv, Wei & Jiang, Li-Xue & Xu, Qing-Feng & Song, Wei-Guo, 2016. "Modeling and assessment of civil aircraft evacuation based on finer-grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 102-112.
    17. Yamamoto, Kazuhiro & Kokubo, Satoshi & Nishinari, Katsuhiro, 2007. "Simulation for pedestrian dynamics by real-coded cellular automata (RCA)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 654-660.
    18. Zhao, Yongxiang & Li, Meifang & Lu, Xin & Tian, Lijun & Yu, Zhiyong & Huang, Kai & Wang, Yana & Li, Ting, 2017. "Optimal layout design of obstacles for panic evacuation using differential evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 175-194.
    19. Li, Xiao-Yang & Lin, Zhi-Yang & Zhang, Peng & Zhang, Xiao-Ning, 2023. "Reconstruction of density and cost potential field of Eikonal equation: Applications to discrete pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    20. Liu, Xuan & Song, Weiguo & Zhang, Jun, 2009. "Extraction and quantitative analysis of microscopic evacuation characteristics based on digital image processing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2717-2726.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:405:y:2014:i:c:p:380-391. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.