IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-59072-6_2.html
   My bibliography  Save this book chapter

The Influence of Fear on Intraspecific Competition in Predator-Prey Dynamics: A Model-Based Study

In: Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies

Author

Listed:
  • Anal Chatterjee

    (Barrackpore Rastraguru Surendranath College, Department of Mathematics)

  • Samares Pal

    (University of Kalyani, Department of Mathematics)

Abstract

The study explores the impact of fear levels and intra-species competition on the predator-prey system’s dynamics. High fear levels or competition among prey stabilizes the system by preventing periodic solutions. In contrast, low fear levels or competition triggers the emergence of limit cycles through Hopf bifurcation. Additionally, higher intrinsic growth rates of prey, predator consumption rates, efficiency in converting prey to new predators, and predator harvesting rates also lead to limit cycle emergence. It is observed that when the white noise intensity is kept below a specific threshold value, the validity of the deterministic control approach remains unaffected in the presence of environmental disturbances. The analysis includes generalized Hopf and Bogdanov-Takens bifurcations, which are further validated through numerical simulations.

Suggested Citation

  • Anal Chatterjee & Samares Pal, 2024. "The Influence of Fear on Intraspecific Competition in Predator-Prey Dynamics: A Model-Based Study," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies, pages 33-66, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-59072-6_2
    DOI: 10.1007/978-3-031-59072-6_2
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-031-59072-6_2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.