IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v226y2024icp270-282.html
   My bibliography  Save this article

Predator invasion in a spatially heterogeneous predator-prey model with group defense and prey-taxis

Author

Listed:
  • Zhang, Zidie
  • Wu, Daiyong
  • Li, Nishan

Abstract

This paper mainly studies a spatial predator–prey model with group defense and prey-taxis. The stability of the semi-trivial solution is examined by employing variational formulations and using the limiting behavior for the principal eigenvalue. Six different parametric restrictions dependent on the environmental carrying capacity are discussed to explore the effect of the prey-taxis and prey diffusion on the stability of the semi-trivial solution. Our analysis reveals that prey-taxis can change the stability of the semi-trivial solution in particular cases. Moreover, it is obtained that as long as the predator death rate is small enough, the predator can successfully invade no matter how the prey disperses. Numerical simulations illustrate that prey-taxis, group defense and environmental heterogeneity may have a synergistic effect on promoting predator invasion. It is determined that the intensity of environmental heterogeneity can affect the population size, and the predator may fail to invade due to the high environmental heterogeneity. Note that the role of group defense in predator invasion is related to the environmental carrying capacity.

Suggested Citation

  • Zhang, Zidie & Wu, Daiyong & Li, Nishan, 2024. "Predator invasion in a spatially heterogeneous predator-prey model with group defense and prey-taxis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 270-282.
    • Handle: RePEc:eee:matcom:v:226:y:2024:i:c:p:270-282
    DOI: 10.1016/j.matcom.2024.07.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475424002659
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2024.07.014?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. Yang, Youwei & Wu, Daiyong & Shen, Chuansheng & Lu, Fengping, 2023. "Allee effect in a diffusive predator–prey system with nonlocal prey competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    2. Wu, Daiyong & Yang, Youwei & Wu, Peng, 2023. "Impacts of prey-taxis and nonconstant mortality on a spatiotemporal predator–prey system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 283-300.
    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. Kim, Hyundong & Jyoti, & Kwak, Soobin & Ham, Seokjun & Kim, Junseok, 2024. "In silico investigation of the formation of multiple intense zebra stripes using extending domain," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 648-658.
    2. Owolabi, Kolade M. & Jain, Sonal, 2023. "Spatial patterns through diffusion-driven instability in modified predator–prey models with chaotic behaviors," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

    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:226:y:2024:i:c:p:270-282. 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.