IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v466y2017icp544-551.html
   My bibliography  Save this article

Spreading dynamics and synchronization behavior of periodic diseases on complex networks

Author

Listed:
  • Xu, Degang
  • Xu, Xiyang
  • Yang, Chunhua
  • Gui, Weihua

Abstract

A new discrete-susceptible–infected–recovered–susceptible (DSIRS) model is introduced in this paper to investigate the disease spreading dynamics and synchronization behavior on complex networks. In the model, every node is considered independently rather than as a part of one group that has a common node state in complex networks. The synchronization phenomenon of epidemic spreading based on the model in random networks and scale-free networks is analyzed. Synchronization is affected by the infection duration, the complete cycle duration and the topological network structure, which affects the immune strategy. Accordingly, immune strategies including the maximum degree immune strategy and the nearest immune strategy are proposed to prevent disease propagating.

Suggested Citation

  • Xu, Degang & Xu, Xiyang & Yang, Chunhua & Gui, Weihua, 2017. "Spreading dynamics and synchronization behavior of periodic diseases on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 544-551.
  • Handle: RePEc:eee:phsmap:v:466:y:2017:i:c:p:544-551
    DOI: 10.1016/j.physa.2016.09.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116306720
    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.2016.09.047?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, Yi & Cao, Jinde & Alofi, Abdulaziz & AL-Mazrooei, Abdullah & Elaiw, Ahmed, 2015. "Revisiting node-based SIR models in complex networks with degree correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 75-88.
    2. Jeremy Hadidjojo & Siew Ann Cheong, 2011. "Equal Graph Partitioning on Estimated Infection Network as an Effective Epidemic Mitigation Measure," PLOS ONE, Public Library of Science, vol. 6(7), pages 1-10, July.
    3. Bellingeri, Michele & Cassi, Davide & Vincenzi, Simone, 2014. "Efficiency of attack strategies on complex model and real-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 174-180.
    4. Zhao, Zhuang & Zhang, Peng & Yang, Hujiang, 2015. "Cascading failures in interconnected networks with dynamical redistribution of loads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 204-210.
    5. Juang, Jonq & Liang, Yu-Hao, 2015. "Analysis of a general SIS model with infective vectors on the complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 382-395.
    6. Yang, Han-Xin & Wang, Bing-Hong, 2016. "Immunization of traffic-driven epidemic spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 86-90.
    7. Ababou, M. & Vandewalle, N. & Moussa, N. & El Bouziani, M. & Ludewig, F., 2013. "Spreading of periodic diseases and synchronization phenomena on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2526-2531.
    8. Wu, Qingchu & Fu, Xinchu & Jin, Zhen & Small, Michael, 2015. "Influence of dynamic immunization on epidemic spreading in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 566-574.
    9. Ababou, M. & Vandewalle, N. & Moussa, N. & El Bouziani, M. & Ludewig, F., 2011. "Epidemic spreading in a finite-precision BA model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3573-3578.
    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. Xia, Ling-Ling & Song, Yu-Rong & Li, Chan-Chan & Jiang, Guo-Ping, 2018. "Improved targeted immunization strategies based on two rounds of selection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 540-547.
    2. Mann Manyombe, M.L. & Tsanou, B. & Mbang, J. & Bowong, S., 2017. "A metapopulation model for the population dynamics of anopheles mosquito," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 71-91.
    3. Zhu, Qian & Zhu, Zhiliang & Wang, Yifan & Yu, Hai, 2016. "Fuzzy-information-based robustness of interconnected networks against attacks and failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 194-203.
    4. Yang, Qihui & Scoglio, Caterina M. & Gruenbacher, Don M., 2021. "Robustness of supply chain networks against underload cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    5. Chen, Jie & Hu, Mao-Bin & Li, Ming, 2020. "Traffic-driven epidemic spreading dynamics with heterogeneous infection rates," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    6. Nian, Fuzhong & Hu, Chasheng & Yao, Shuanglong & Wang, Longjing & Wang, Xingyuan, 2018. "An immunization based on node activity," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 228-233.
    7. P.B., Divya & Lekha, Divya Sindhu & Johnson, T.P. & Balakrishnan, Kannan, 2022. "Vulnerability of link-weighted complex networks in central attacks and fallback strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    8. Zhang, Haihong & Wu, Wenqing & Zhao, Liming, 2016. "A study of knowledge supernetworks and network robustness in different business incubators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 545-560.
    9. Cui, Pengshuai & Zhu, Peidong & Wang, Ke & Xun, Peng & Xia, Zhuoqun, 2018. "Enhancing robustness of interdependent network by adding connectivity and dependence links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 185-197.
    10. Zhong, Lin-Feng & Shang, Ming-Sheng & Chen, Xiao-Long & Cai, Shi-Ming, 2018. "Identifying the influential nodes via eigen-centrality from the differences and similarities of structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 77-82.
    11. Kazawa, Yui & Tsugawa, Sho, 2020. "Effectiveness of link-addition strategies for improving the robustness of both multiplex and interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    12. Chuangxia Huang & Jie Cao & Fenghua Wen & Xiaoguang Yang, 2016. "Stability Analysis of SIR Model with Distributed Delay on Complex Networks," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-22, August.
    13. Shen, Yi & Yang, Huang & Xie, Yuangcheng & Liu, Yang & Ren, Gang, 2023. "Adaptive robustness optimization against network cascading congestion induced by fluctuant load via a bilateral-adaptive strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    14. Jamar Kattel, Prakash & Aros-Vera, Felipe, 2020. "Critical infrastructure location under supporting station dependencies considerations," Socio-Economic Planning Sciences, Elsevier, vol. 70(C).
    15. Kumar, Rajesh & Kumari, Suchi & Mishra, Anubhav, 2023. "Robustness of multilayer networks: A graph energy perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 628(C).
    16. Haiyan Li & Yong Tang, 2019. "Network Structure and Dynamics of Chinese Regional Incubation," Networks and Spatial Economics, Springer, vol. 19(4), pages 1173-1197, December.
    17. 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.
    18. Yang, Dingda & Liao, Xiangwen & Shen, Huawei & Cheng, Xueqi & Chen, Guolong, 2018. "Dynamic node immunization for restraint of harmful information diffusion in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 640-649.
    19. Wang, Xingyuan & Zhao, Tianfang & Qin, Xiaomeng, 2016. "Model of epidemic control based on quarantine and message delivery," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 168-178.
    20. Cui, Pengshuai & Zhu, Peidong & Shao, Chengcheng & Xun, Peng, 2017. "Cascading failures in interdependent networks due to insufficient received support capability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 777-788.

    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:466:y:2017:i:c:p:544-551. 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.