IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v453y2016icp77-83.html
   My bibliography  Save this article

Threshold conditions for SIS epidemic models on edge-weighted networks

Author

Listed:
  • Wu, Qingchu
  • Zhang, Fei

Abstract

We consider the disease dynamics of a susceptible–infected–susceptible model in weighted random and regular networks. By using the pairwise approximation, we build an edge-based compartment model, from which the condition of epidemic outbreak is obtained. Our results suggest that there exists a remarkable difference between the linear and nonlinear transmission rate. For a linear transmission rate, the epidemic threshold is completely determined by the mean weight, which is different from the susceptible–infected–recovered model framework. While for a nonlinear transmission rate, the epidemic threshold is not only related to the mean weight, but also closely related to the heterogeneity of weight distribution.

Suggested Citation

  • Wu, Qingchu & Zhang, Fei, 2016. "Threshold conditions for SIS epidemic models on edge-weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 77-83.
    • Handle: RePEc:eee:phsmap:v:453:y:2016:i:c:p:77-83
    DOI: 10.1016/j.physa.2016.02.036
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116002028
    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.2016.02.036?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. Wu, Qingchu & Fu, Xinchu, 2016. "Immunization and epidemic threshold of an SIS model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 576-581.
    2. Barthélemy, Marc & Barrat, Alain & Pastor-Satorras, Romualdo & Vespignani, Alessandro, 2005. "Characterization and modeling of weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(1), pages 34-43.
    3. Christel Kamp & Mathieu Moslonka-Lefebvre & Samuel Alizon, 2013. "Epidemic Spread on Weighted Networks," PLOS Computational Biology, Public Library of Science, vol. 9(12), pages 1-10, December.
    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. Xu, Jinghong & Du, Zhitao & Guo, Jianchao & Fu, Xiangling & Zhang, Yuqiang & Wu, Ye, 2018. "Empirical and modeling studies of WeChat information dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1113-1120.
    2. Xiaoyang Liu & Chao Liu & Xiaoping Zeng, 2017. "Online Social Network Emergency Public Event Information Propagation and Nonlinear Mathematical Modeling," Complexity, Hindawi, vol. 2017, pages 1-7, June.
    3. Jing, Wenjun & Li, Yi & Zhang, Xiaoqin & Zhang, Juping & Jin, Zhen, 2022. "A rumor spreading pairwise model on weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    4. Wu, Qingchu & Kabir, K.M. Ariful, 2023. "Compact pairwise methods for susceptible–infected–susceptible epidemics on weighted heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).

    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. Jia, Peng & Liu, Jiayong & Fang, Yong & Liu, Liang & Liu, Luping, 2018. "Modeling and analyzing malware propagation in social networks with heterogeneous infection rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 240-254.
    2. Arribas Ivan & Perez Francisco & Tortosa-Ausina Emili, 2010. "The Determinants of International Financial Integration Revisited: The Role of Networks and Geographic Neutrality," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 15(1), pages 1-55, December.
    3. Andrea Fracasso & Nicola Grassano & Giuseppe Vittucci Marzetti, 2015. "The Gravity of Foreign News Coverage in the EU: Does the Euro Matter?," Journal of Common Market Studies, Wiley Blackwell, vol. 53(2), pages 274-291, March.
    4. Peixin Dong & Dongyuan Li & Jianping Xing & Haohui Duan & Yong Wu, 2019. "A Method of Bus Network Optimization Based on Complex Network and Beidou Vehicle Location," Future Internet, MDPI, vol. 11(4), pages 1-12, April.
    5. Giorgio Fagiolo & Javier Reyes & Stefano Schiavo, 2010. "The evolution of the world trade web: a weighted-network analysis," Journal of Evolutionary Economics, Springer, vol. 20(4), pages 479-514, August.
    6. Brandon Lieberthal & Allison M Gardner, 2021. "Connectivity, reproduction number, and mobility interact to determine communities’ epidemiological superspreader potential in a metapopulation network," PLOS Computational Biology, Public Library of Science, vol. 17(3), pages 1-22, March.
    7. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    8. Matt J Keeling & Thomas House & Alison J Cooper & Lorenzo Pellis, 2016. "Systematic Approximations to Susceptible-Infectious-Susceptible Dynamics on Networks," PLOS Computational Biology, Public Library of Science, vol. 12(12), pages 1-18, December.
    9. Daniela Silvia Pace & Marina Pulcini & Francesca Triossi, 2012. "Anthropogenic food patches and association patterns of Tursiops truncatus at Lampedusa island, Italy," Behavioral Ecology, International Society for Behavioral Ecology, vol. 23(2), pages 254-264.
    10. Cajueiro, Daniel O. & Tabak, Benjamin M., 2008. "The role of banks in the Brazilian interbank market: Does bank type matter?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6825-6836.
    11. Xi, Xian & Zhou, Jinsheng & Gao, Xiangyun & Liu, Donghui & Zheng, Huiling & Sun, Qingru, 2019. "Impact of changes in crude oil trade network patterns on national economy," Energy Economics, Elsevier, vol. 84(C).
    12. Biplab Bhattacharjee & Muhammad Shafi & Animesh Acharjee, 2017. "Investigating the Evolution of Linkage Dynamics among Equity Markets Using Network Models and Measures: The Case of Asian Equity Market Integration," Data, MDPI, vol. 2(4), pages 1-28, December.
    13. Md Sayeed Anwar & Dibakar Ghosh & Nikita Frolov, 2021. "Relay Synchronization in a Weighted Triplex Network," Mathematics, MDPI, vol. 9(17), pages 1-10, September.
    14. Milena Oehlers & Benjamin Fabian, 2021. "Graph Metrics for Network Robustness—A Survey," Mathematics, MDPI, vol. 9(8), pages 1-48, April.
    15. Arribas, Iván & Pérez, Francisco & Tortosa-Ausina, Emili, 2009. "Measuring Globalization of International Trade: Theory and Evidence," World Development, Elsevier, vol. 37(1), pages 127-145, January.
    16. Tabak, Benjamin M. & Serra, Thiago R. & Cajueiro, Daniel O., 2009. "The expectation hypothesis of interest rates and network theory: The case of Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1137-1149.
    17. Anwar, Md Sayeed & Kundu, Srilena & Ghosh, Dibakar, 2021. "Enhancing synchrony in asymmetrically weighted multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    18. Fagiolo, Giorgio & Reyes, Javier & Schiavo, Stefano, 2008. "On the topological properties of the world trade web: A weighted network analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3868-3873.
    19. Stanislaw Drozdz & Andrzej Kulig & Jaroslaw Kwapien & Artur Niewiarowski & Marek Stanuszek, 2017. "Hierarchical organization of H. Eugene Stanley scientific collaboration community in weighted network representation," Papers 1705.06208, arXiv.org, revised Oct 2017.
    20. Meliksah Turker & Haluk O. Bingol, 2023. "Multi-layer network approach in modeling epidemics in an urban town," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(2), pages 1-13, February.

    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:453:y:2016:i:c:p:77-83. 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.