IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v191y2022icp49-81.html
   My bibliography  Save this article

Impact of wind in the dynamics of prey–predator interactions

Author

Listed:
  • Barman, Dipesh
  • Roy, Jyotirmoy
  • Alam, Shariful

Abstract

The interaction of the predator–prey relationship does not only rely upon the biotic factors, but various abiotic factors can also take an essential role in determining the system dynamics. Wind is an omnipresent component in the biosphere that may crucially alter the predation pattern of any species. In this article, we formulate and analyse a predator–prey model incorporating wind in the predation function. Two types of modified functional responses have been proposed to capture the overall dynamics of the associated system considering the fact that wind may either decrease or increase predation rate of predators. Positivity and boundedness of the solutions of the systems have been shown to confirm the well-posedness of the systems. Equilibrium points and their state of stability have been examined under suitable conditions of parametric restrictions. Wind is shown to change the state of stability of coexistence equilibrium point through Hopf bifurcation in particular cases. On the other hand, strength of wind flow cannot be supposed to be constant throughout a time period. Considering this fact, we further modify the functional responses taken into account periodically varying wind flow and analyse the corresponding systems with the help of computer simulation. Our analysis revealed that the impact of wind on a system dynamics has a strong interrelation with functional response. All the analytical findings have been testified numerically and the article ends with a comprehensive conclusion of our overall study.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:matcom:v:191:y:2022:i:c:p:49-81
    DOI: 10.1016/j.matcom.2021.07.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847542100272X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2021.07.022?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Barman, Dipesh & Roy, Jyotirmoy & Alrabaiah, Hussam & Panja, Prabir & Mondal, Sankar Prasad & Alam, Shariful, 2021. "Impact of predator incited fear and prey refuge in a fractional order prey predator model," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    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. 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.

    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. Sajan, & Dubey, Balram & Sasmal, Sourav Kumar, 2022. "Chaotic dynamics of a plankton-fish system with fear and its carry over effects in the presence of a discrete delay," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Balcı, Ercan, 2023. "Predation fear and its carry-over effect in a fractional order prey–predator model with prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Bi, Zhimin & Liu, Shutang & Ouyang, Miao, 2022. "Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    4. Cuimin Liu & Yonggang Chen & Yingbin Yu & Zhen Wang, 2023. "Bifurcation and Stability Analysis of a New Fractional-Order Prey–Predator Model with Fear Effects in Toxic Injections," Mathematics, MDPI, vol. 11(20), pages 1-13, October.

    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:eee:matcom:v:191:y:2022:i:c:p:49-81. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.