IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i23p4863-d1293604.html
   My bibliography  Save this article

Modelling Predator–Prey Interactions: A Trade-Off between Seasonality and Wind Speed

Author

Listed:
  • Dipesh Barman

    (Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India)

  • Ranjit Kumar Upadhyay

    (Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India)

Abstract

Predator–prey interactions do not solely depend on biotic factors: rather, they depend on many other abiotic factors also. One such abiotic factor is wind speed, which can crucially change the predation efficiency of the predator population. In this article, the impact of wind speed along with seasonality on various parameters has been investigated. Here, we present two continuous-time models with specialist and generalist type predators incorporating the effect of wind and the seasonality on the model parameters. It has been observed that wind speed plays a significant role in controlling the system dynamics for both systems. It makes the systems stable for both of the seasonally unperturbed systems. However, it controls the chaotic dynamics that occur in case of no wind for the seasonally perturbed system with the predator as a specialist. On the other hand, for the seasonally perturbed system with a generalist predator, it controls period-four oscillations (which occur considering no wind speed) to simple limit-cycle oscillations. Furthermore, the wind parameter has a huge impact on the survival of predator species. The survival of predator species may be achieved by ensuring a suitable range of wind speeds in the ecosystem. Therefore, we observe that seasonality introduces chaos, but wind reduces it. These results may be very useful for adopting necessary management for the conservation of endangered species that are massively affected by wind speed in an ecosystem.

Suggested Citation

  • Dipesh Barman & Ranjit Kumar Upadhyay, 2023. "Modelling Predator–Prey Interactions: A Trade-Off between Seasonality and Wind Speed," Mathematics, MDPI, vol. 11(23), pages 1-26, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4863-:d:1293604
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/23/4863/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/23/4863/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Barman, Dipesh & Roy, Jyotirmoy & Alam, Shariful, 2022. "Impact of wind in the dynamics of prey–predator interactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 49-81.
    2. Liang, Ziwei & Meng, Xinyou, 2023. "Stability and Hopf bifurcation of a multiple delayed predator–prey system with fear effect, prey refuge and Crowley–Martin function," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Hunki Baek, 2009. "An Impulsive Two-Prey One-Predator System with Seasonal Effects," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-19, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Evariste Sanchez-Palencia & M. A. Aziz-Alaoui, 2024. "Trends and Paradoxes of Competitive Evolution in the Predation Mechanism," Mathematics, MDPI, vol. 12(7), pages 1-17, April.
    2. Qingyi Cui & Changjin Xu & Wei Ou & Yicheng Pang & Zixin Liu & Peiluan Li & Lingyun Yao, 2023. "Bifurcation Behavior and Hybrid Controller Design of a 2D Lotka–Volterra Commensal Symbiosis System Accompanying Delay," Mathematics, MDPI, vol. 11(23), pages 1-23, November.

    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:gam:jmathe:v:11:y:2023:i:23:p:4863-:d:1293604. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.