IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/730783.html
   My bibliography  Save this article

Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence

Author

Listed:
  • Shuxue Mao
  • Rui Xu
  • Zhe Li
  • Yunfei Li

Abstract

We investigate a delayed eco-epidemiological model with disease in predator and saturation incidence. First, by comparison arguments, the permanence of the model is discussed. Then, we study the local stability of each equilibrium of the model by analyzing the corresponding characteristic equations and find that Hopf bifurcation occurs when the delay passes through a sequence of critical values. Next, by means of an iteration technique, sufficient conditions are derived for the global stability of the disease-free planar equilibrium and the positive equilibrium. Numerical examples are carried out to illustrate the analytical results.

Suggested Citation

  • Shuxue Mao & Rui Xu & Zhe Li & Yunfei Li, 2011. "Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-22, November.
    • Handle: RePEc:hin:jnddns:730783
    DOI: 10.1155/2011/730783
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2011/730783.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2011/730783.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2011/730783?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
    ---><---

    Citations

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


    Cited by:

    1. Hu, Zhixing & Wang, Hongwei & Liao, Fucheng & Ma, Wanbiao, 2015. "Stability analysis of a computer virus model in latent period," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 20-28.
    2. Meng, Lan & Zhu, Wei, 2022. "Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 489-503.

    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:hin:jnddns:730783. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.