IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v527y2019ics0378437119307654.html
   My bibliography  Save this article

Dynamics for an SEIRS epidemic model with time delay on a scale-free network

Author

Listed:
  • Yang, Peng
  • Wang, Yuanshi

Abstract

A new SEIRS epidemic model with time delay on a scale-free network is introduced. The basic reproduction number R0 is defined and it does not depend on time delay τ. By analyzing the characteristic equation of equilibria and constructing suitable Lyapunov functionals, the stability of steady states is proved. System does not occur Hopf bifurcation around disease-free equilibrium E0. Uniform immunization and targeted immunization are investigated. Numerical simulations and sensitivity analysis are performed. Results indicate that time delay plays a significant part in propagation process of epidemics on a scale-free network.

Suggested Citation

  • Yang, Peng & Wang, Yuanshi, 2019. "Dynamics for an SEIRS epidemic model with time delay on a scale-free network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    • Handle: RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307654
    DOI: 10.1016/j.physa.2019.121290
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119307654
    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.2019.121290?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.

    Citations

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


    Cited by:

    1. Fu, Xinjie & Wang, JinRong, 2024. "Dynamic behaviors and non-instantaneous impulsive vaccination of an SAIQR model on complex networks," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    2. Xuefeng Yue & Liangan Huo, 2022. "Analysis of the Stability and Optimal Control Strategy for an ISCR Rumor Propagation Model with Saturated Incidence and Time Delay on a Scale-Free Network," Mathematics, MDPI, vol. 10(20), pages 1-20, October.
    3. Yanshu Wang & Hailiang Zhang, 2023. "Dynamical Analysis of an Age-Structured SVEIR Model with Imperfect Vaccine," Mathematics, MDPI, vol. 11(16), pages 1-19, August.
    4. Xia, Yang & Jiang, Haijun & Yu, Zhiyong, 2022. "Global dynamics of ILSR rumor spreading model with general nonlinear spreading rate in multi-lingual environment," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

    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:527:y:2019:i:c:s0378437119307654. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.