IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/8120929.html
   My bibliography  Save this article

The Effect of Fear and Refuge on the Dynamics of a Predator–Prey Model Incorporating Disease in Predator

Author

Listed:
  • Roaa Hatem Talib
  • Raid Kamel Naji

Abstract

Considering the importance of ecosystems from an economic and biological point of view, a new ecological model consisting of prey and a predator with an infectious disease in the presence of fear of predation and refuge has been proposed and studied. The research is aimed at studying these factors’ influence on the predator–prey system’s dynamic behavior in the presence of infectious diseases. The system’s solution properties and limitations were studied. All the necessary conditions for the system’s stability locally and globally are calculated using various mathematical methods. The possibility of local bifurcation in the system has been studied. Finally, the system was solved numerically to confirm the results and understand the effect of changing parameter values on dynamic behavior. It has been found that, up to a critical value, the system is stabilized by the fear of susceptible predators; beyond that, predator extinction threatens the system. A similar observation has been made regarding the refuge rate. Nonetheless, the system dynamics are destabilized by the fear of the infected predators.

Suggested Citation

  • Roaa Hatem Talib & Raid Kamel Naji, 2025. "The Effect of Fear and Refuge on the Dynamics of a Predator–Prey Model Incorporating Disease in Predator," Journal of Applied Mathematics, Hindawi, vol. 2025, pages 1-19, March.
    • Handle: RePEc:hin:jnljam:8120929
    DOI: 10.1155/jama/8120929
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jam/2025/8120929.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jam/2025/8120929.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jama/8120929?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:8120929. 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.