IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v60y2002i1p107-118.html
   My bibliography  Save this article

Global stability of a two-stage epidemic model with generalized non-linear incidence

Author

Listed:
  • Moghadas, S.M.
  • Gumel, A.B.

Abstract

A multi-stage model of disease transmission, which incorporates a generalized non-linear incidence function, is developed and analysed qualitatively. The model exhibits two steady states namely: a disease-free state and a unique endemic state. A global stability of the model reveals that the disease-free equilibrium is globally asymptotically stable (and therefore the disease can be eradicated) provided a certain threshold R0 (known as the basic reproductive number) is less than unity. On the other hand, the unique endemic equilibrium is globally asymptotically stable for R0>1.

Suggested Citation

  • Moghadas, S.M. & Gumel, A.B., 2002. "Global stability of a two-stage epidemic model with generalized non-linear incidence," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 60(1), pages 107-118.
    • Handle: RePEc:eee:matcom:v:60:y:2002:i:1:p:107-118
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475402000022
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Jiang, Zhichao & Wei, Junjie, 2008. "Stability and bifurcation analysis in a delayed SIR model," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 609-619.
    2. Iqbal, Zafar & Ahmed, Nauman & Baleanu, Dumitru & Adel, Waleed & Rafiq, Muhammad & Aziz-ur Rehman, Muhammad & Alshomrani, Ali Saleh, 2020. "Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    3. Rao, Yerra Shankar & Keshri, Ajit Kumar & Mishra, Bimal Kumar & Panda, Tarini Charana, 2020. "Distributed denial of service attack on targeted resources in a computer network for critical infrastructure: A differential e-epidemic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    4. Shamsi G., N. & Ali Torabi, S. & Shakouri G., H., 2018. "An option contract for vaccine procurement using the SIR epidemic model," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1122-1140.
    5. Zhang, Zhibin, 2007. "The outbreak pattern of SARS cases in China as revealed by a mathematical model," Ecological Modelling, Elsevier, vol. 204(3), pages 420-426.

    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:matcom:v:60:y:2002:i:1:p:107-118. 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/mathematics-and-computers-in-simulation/ .

    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.