IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v206y2026ics0960077926001050.html

Dynamic analysis of a predator–prey model with anti-predator behavior and fear effect under a two-thresholds feedback control

Author

Listed:
  • Yan, Binjie
  • Yang, Minghao
  • Xiang, Changcheng

Abstract

Given the current decline in both the number and the richness of natural species, it is necessary to establish a monitoring and control mechanism for human intervention. In this study, we developed a dual-threshold state-dependent impulsive semi-dynamic system based on a predator–prey model. The results demonstrate that population dynamics under the dual-threshold impulsive strategy exhibit greater persistence compared to a single-threshold strategy. We constructed a Poincaré map to analyze its properties, including monotonicity, fixed points, and the existence and stability of periodic solutions. Through theoretical analysis and numerical simulations, we investigated the mechanisms and effects of human control measures on population dynamics. This work reveals structural changes in system stability and provides a novel perspective and theoretical foundation for practical biological resource management.

Suggested Citation

  • Yan, Binjie & Yang, Minghao & Xiang, Changcheng, 2026. "Dynamic analysis of a predator–prey model with anti-predator behavior and fear effect under a two-thresholds feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 206(C).
    • Handle: RePEc:eee:chsofr:v:206:y:2026:i:c:s0960077926001050
    DOI: 10.1016/j.chaos.2026.117964
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077926001050
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2026.117964?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

    for a different version of it.

    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:eee:chsofr:v:206:y:2026:i:c:s0960077926001050. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.