IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/1366763.html
   My bibliography  Save this article

The Dynamics of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate

Author

Listed:
  • Reem Mudar Hussien
  • Raid Kamel Naji
  • Chong Lin

Abstract

In this paper, the general framework for calculating the stability of equilibria, Hopf bifurcation of a delayed prey-predator system with an SI type of disease in the prey population, is investigated. The impact of the incubation period delay on disease transmission utilizing a nonlinear incidence rate was taken into account. For the purpose of explaining the predation process, a modified Holling type II functional response was used. First, the existence, uniform boundedness, and positivity of the solutions of the considered model system, along with the behavior of equilibria and the existence of Hopf bifurcation, are studied. The critical values of the delay parameter for which stability switches and the nature of the Hopf bifurcation by using normal form theory and center manifold theorem are identified. Additionally, using numerical simulations and a hypothetical dataset, various dynamic characteristics are discovered, including stability switches, chaos, and Hopf bifurcation scenarios.

Suggested Citation

  • Reem Mudar Hussien & Raid Kamel Naji & Chong Lin, 2023. "The Dynamics of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate," Journal of Applied Mathematics, Hindawi, vol. 2023, pages 1-24, February.
    • Handle: RePEc:hin:jnljam:1366763
    DOI: 10.1155/2023/1366763
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jam/2023/1366763.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jam/2023/1366763.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/1366763?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
    ---><---

    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:jnljam:1366763. 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.