IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v525y2019icp778-787.html
   My bibliography  Save this article

Epidemic spreading dynamics on complex networks with adaptive social-support

Author

Listed:
  • Zhou, Rong
  • Wu, Qingchu

Abstract

Using conditional quenched mean-field (cQMF) method, we develop a continuous-time susceptible–infected–susceptible epidemic model on quenched complex networks with combined self-recovery and social support from healthy network nodes. We determined the lower bound of the epidemic threshold which was found to depend directly on social support α. Our analytical results of the generalized cQMF model were in good agreement with numerical simulations on Erdő s–Rényi (ER) random graphs and different scale-free (SF) network configurations. We observed an interaction effect between network type (ER vs. SF) and social support level (α), finding a significant difference between the final epidemic sizes observed on ER versus SF networks when α was large, but not when α level was small or zero. Our findings suggest that social support from non-infected individuals contributes substantially towards the inhibition of an epidemic outbreak, and that the type of network structure plays a role in determining the final epidemic size but only when the social support level is sufficiently high.

Suggested Citation

  • Zhou, Rong & Wu, Qingchu, 2019. "Epidemic spreading dynamics on complex networks with adaptive social-support," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 778-787.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:778-787
    DOI: 10.1016/j.physa.2019.03.107
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119303425
    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.2019.03.107?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. Wang, Wei & Cai, Meng & Zheng, Muhua, 2018. "Social contagions on correlated multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 121-128.
    2. Wu, Qingchu & Zhou, Rong & Hadzibeganovic, Tarik, 2019. "Conditional quenched mean-field approach for recurrent-state epidemic dynamics in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 71-79.
    3. Tim Clutton-Brock, 2009. "Cooperation between non-kin in animal societies," Nature, Nature, vol. 462(7269), pages 51-57, November.
    4. Chen, Xiao-Long & Wang, Rui-Jie & Yang, Chun & Cai, Shi-Min, 2019. "Hybrid resource allocation and its impact on the dynamics of disease spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 156-165.
    5. Zhang, Zi-li & Zhang, Zi-qiong, 2009. "An interplay model for rumour spreading and emergency development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4159-4166.
    6. Qingchu Wu & Wenfang Zhu, 2017. "Toward a generalized theory of epidemic awareness in social networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(05), pages 1-9, May.
    7. Wu, Qingchu & Chen, Shufang & Zha, Lingling, 2017. "Epidemic spreading over quenched networks with local behavioral response," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 17-22.
    8. Hadzibeganovic, Tarik & Stauffer, Dietrich & Han, Xiao-Pu, 2018. "Interplay between cooperation-enhancing mechanisms in evolutionary games with tag-mediated interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 676-690.
    9. Zhang, Hai-Feng & Shu, Pan-Pan & Wang, Zhen & Tang, Ming & Small, Michael, 2017. "Preferential imitation can invalidate targeted subsidy policies on seasonal-influenza diseases," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 332-342.
    10. Chen, Xuan-Hao & Cai, Shi-Min & Wang, Wei & Tang, Ming & Stanley, H. Eugene, 2018. "Predicting epidemic threshold of correlated networks: A comparison of methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 500-511.
    11. Klaus Lichtenegger & Tarik Hadzibeganovic, 2016. "The interplay of self-reflection, social interaction and random events in the dynamics of opinion flow in two-party democracies," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(05), pages 1-20, May.
    Full references (including those not matched with items on IDEAS)

    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. Wang, Zhixiao & Rui, Xiaobin & Yuan, Guan & Cui, Jingjing & Hadzibeganovic, Tarik, 2021. "Endemic information-contagion outbreaks in complex networks with potential spreaders based recurrent-state transmission dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    2. Hadzibeganovic, Tarik & Liu, Chao & Li, Rong, 2021. "Effects of reproductive skew on the evolution of ethnocentrism in structured populations with variable size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    3. Chen, Xiao-Long & Wang, Rui-Jie & Yang, Chun & Cai, Shi-Min, 2019. "Hybrid resource allocation and its impact on the dynamics of disease spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 156-165.
    4. Cai, Shi-Min & Chen, Xuan-Hao & Ye, Xi-Jun & Tang, Ming, 2019. "Precisely identifying the epidemic thresholds in real networks via asynchronous updating," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 377-388.
    5. Som B Ale & Joel S Brown & Amy T Sullivan, 2013. "Evolution of Cooperation: Combining Kin Selection and Reciprocal Altruism into Matrix Games with Social Dilemmas," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-8, May.
    6. Zhu, Xuzhen & Wang, Ruijie & Wang, Zexun & Chen, Xiaolong & Wang, Wei & Cai, Shimin, 2019. "Double-edged sword effect of edge overlap on asymmetrically interacting spreading dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 617-624.
    7. Zan, Yongli & Wu, Jianliang & Li, Ping & Yu, Qinglin, 2014. "SICR rumor spreading model in complex networks: Counterattack and self-resistance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 159-170.
    8. Zhang, Yaming & Su, Yanyuan & Weigang, Li & Liu, Haiou, 2019. "Interacting model of rumor propagation and behavior spreading in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 168-177.
    9. Yi, Yinxue & Zhang, Zufan & Gan, Chenquan, 2018. "The effect of social tie on information diffusion in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 783-794.
    10. Zhu, Yu-Xiao & Cao, Yan-Yan & Chen, Ting & Qiu, Xiao-Yan & Wang, Wei & Hou, Rui, 2018. "Crossover phenomena in growth pattern of social contagions with restricted contact," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 408-414.
    11. Chen, Ning & Zhu, Xuzhen & Chen, Yanyan, 2019. "Information spreading on complex networks with general group distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 671-676.
    12. Schimit, P.H.T. & Santos, B.O. & Soares, C.A., 2015. "Evolution of cooperation in Axelrod tournament using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 204-217.
    13. Gao, Lei & Li, Yaotang & Wang, Zhen & Wang, Rui-Wu, 2022. "Asymmetric strategy setup solve the Prisoner’s Dilemma of the evolution of mutualism," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    14. Zhu, Jiabao & Liu, Xingwen, 2021. "The number of strategy changes can be used to promote cooperation in spatial snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    15. Hammerstein, Peter & Leimar, Olof, 2015. "Evolutionary Game Theory in Biology," Handbook of Game Theory with Economic Applications,, Elsevier.
    16. You, Xuemei & Zhang, Man & Ma, Yinghong & Tan, Jipeng & Liu, Zhiyuan, 2023. "Impact of higher-order interactions and individual emotional heterogeneity on information-disease coupled dynamics in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    17. Zhao, Laijun & Xie, Wanlin & Gao, H. Oliver & Qiu, Xiaoyan & Wang, Xiaoli & Zhang, Shuhai, 2013. "A rumor spreading model with variable forgetting rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6146-6154.
    18. Cui, Guang-Hai & Li, Jun-Li & Dong, Kun-Xiang & Jin, Xing & Yang, Hong-Yong & Wang, Zhen, 2024. "Influence of subsidy policies against insurances on controlling the propagation of epidemic security risks in networks," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    19. Zhao, Laijun & Wang, Qin & Cheng, Jingjing & Chen, Yucheng & Wang, Jiajia & Huang, Wei, 2011. "Rumor spreading model with consideration of forgetting mechanism: A case of online blogging LiveJournal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2619-2625.
    20. Dirk Helbing & Anders Johansson, 2010. "Cooperation, Norms, and Revolutions: A Unified Game-Theoretical Approach," PLOS ONE, Public Library of Science, vol. 5(10), pages 1-15, October.

    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:525:y:2019:i:c:p:778-787. 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.