IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v59y2014icp42-50.html

Global stability of an SIR model with two susceptible groups on complex networks

Author

Listed:
  • Yuan, Xinpeng
  • Xue, Yakui
  • Liu, Maoxing

Abstract

In this paper, an SIR model with two susceptible groups is proposed and analyzed on complex networks, where contacts between human are treated as a scale-free social network. The basic reproduction number R0 is obtained, and it is established that the disease-free equilibrium is locally and globally asymptotically stable if R0≤1, otherwise disease-free equilibrium is unstable and there exists a unique endemic equilibrium, which is globally asymptotically stable. Finally, the numerical simulations verify our conclusions and some discussions of vaccination strategies are done to suggest that a promising way for the control of infectious diseases.

Suggested Citation

  • Yuan, Xinpeng & Xue, Yakui & Liu, Maoxing, 2014. "Global stability of an SIR model with two susceptible groups on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 42-50.
    • Handle: RePEc:eee:chsofr:v:59:y:2014:i:c:p:42-50
    DOI: 10.1016/j.chaos.2013.11.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077913002130
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2013.11.010?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Guida, Michele & Maria, Funaro, 2007. "Topology of the Italian airport network: A scale-free small-world network with a fractal structure?," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 527-536.
    2. Yuan, Xinpeng & Xue, Yakui & Liu, Maoxing, 2013. "Analysis of an epidemic model with awareness programs by media on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 48(C), pages 1-11.
    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. Qiuyun Li & Fengna Wang, 2023. "An Epidemiological Model for Tuberculosis Considering Environmental Transmission and Reinfection," Mathematics, MDPI, vol. 11(11), pages 1-17, May.
    2. Wei, Xiaodan & Xu, Gaochao & Zhou, Wenshu, 2018. "Global stability of endemic equilibrium for a SIQRS epidemic model on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 203-214.
    3. Yuan, Xinpeng & Wang, Fang & Xue, Yakui & Liu, Maoxing, 2018. "Global stability of an SIR model with differential infectivity on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 443-456.

    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, Xueying & Wang, Guangbin & Li, Yucong & Cao, Dongping, 2025. "Dynamics of the air transport network in China: A geographical and socioeconomic embeddedness perspective," Journal of Air Transport Management, Elsevier, vol. 125(C).
    2. Wang, Wei & Cai, Kaiquan & Du, Wenbo & Wu, Xin & Tong, Lu (Carol) & Zhu, Xi & Cao, Xianbin, 2020. "Analysis of the Chinese railway system as a complex network," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    3. Lordan, Oriol & Sallan, Jose M., 2019. "Core and critical cities of global region airport networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 724-733.
    4. Cumelles, Joel & Lordan, Oriol & Sallan, Jose M., 2021. "Cascading failures in airport networks," Journal of Air Transport Management, Elsevier, vol. 92(C).
    5. Bongiorno, C. & Gurtner, G. & Lillo, F. & Mantegna, R.N. & Miccichè, S., 2017. "Statistical characterization of deviations from planned flight trajectories in air traffic management," Journal of Air Transport Management, Elsevier, vol. 58(C), pages 152-163.
    6. Moreno-Pulido, Soledad & Pavón-Domínguez, Pablo & Burgos-Pintos, Pedro, 2021. "Temporal evolution of multifractality in the Madrid Metro subway network," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    7. Hu, Yue & Dai, Liang & Fuellhart, Kurt & Witlox, Frank, 2025. "Unraveling policy effects on airline networks in China: A temporal exponential random graph framework for slot control and route entry restrictions," Transport Policy, Elsevier, vol. 171(C), pages 882-895.
    8. Li, Siping & Zhou, Yaoming & Kundu, Tanmoy & Sheu, Jiuh-Biing, 2021. "Spatiotemporal variation of the worldwide air transportation network induced by COVID-19 pandemic in 2020," Transport Policy, Elsevier, vol. 111(C), pages 168-184.
    9. Dong, Xuefan & Liu, Yijung & Wu, Chao & Lian, Ying, 2019. "The topology of scale-free networks with an S-shaped nonlinear growth characteristic," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 137-148.
    10. Qian, Qian & Feng, Hairong & Gu, Jing, 2021. "The influence of risk attitude on credit risk contagion—Perspective of information dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    11. Mueller, Falko, 2022. "Examining COVID-19-triggered changes in spatial connectivity patterns in the European air transport network up to June 2021," Research in Transportation Economics, Elsevier, vol. 94(C).
    12. Huang, Da-Wen & Yu, Zu-Guo & Anh, Vo, 2017. "Multifractal analysis and topological properties of a new family of weighted Koch networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 695-705.
    13. Johannes VAN DER POL, 2016. "The French Aerospace Sector Collaboration Network : Structural Dynamics And Firm Performance," Cahiers du GREThA (2007-2019) 2016-24, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    14. Silva, Thiago Christiano & Dias, Felipe A.M. & dos Reis, Vinicius E. & Tabak, Benjamin M., 2022. "The role of network topology in competition and ticket pricing in air transportation: Evidence from Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 601(C).
    15. Lordan, Oriol & Sallan, Jose M. & Escorihuela, Nuria & Gonzalez-Prieto, David, 2016. "Robustness of airline route networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 18-26.
    16. Xiao, Guanping & Zheng, Zheng & Wang, Haoqin, 2017. "Evolution of Linux operating system network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 249-258.
    17. Chen, Yanguang, 2009. "Analogies between urban hierarchies and river networks: Fractals, symmetry, and self-organized criticality," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1766-1778.
    18. Wei, Ye & Jin, Ying & Ma, Dingyu & Xiu, Chunliang, 2021. "Impact of colored motif characteristics on the survivability of passenger airline networks in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    19. Yuan, Xinpeng & Xue, Yakui & Liu, Maoxing, 2013. "Analysis of an epidemic model with awareness programs by media on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 48(C), pages 1-11.
    20. Liu, Maoxing & Ren, Xuejie & Peng, Yu & Sun, Yongzheng, 2024. "The dynamical analysis of simplicial SAIS epidemic model with awareness programs by media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 649(C).

    More about this item

    Statistics

    Access and download statistics

    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:chsofr:v:59:y:2014:i:c:p:42-50. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.