IDEAS home Printed from https://ideas.repec.org/a/wly/jijmms/v2025y2025i1n7928875.html

The Dynamical Analysis of Food‐Web System With a Group Defense and Antipredator Property

Author

Listed:
  • Rasha Ali Hamodi
  • Karrar Qahtan Al-Jubouri
  • Reem Mudar Hussien
  • Raid Kamel Naji

Abstract

Prey employ group defense as a tactic to increase their chances of escaping predator attacks. Antipredator behavior, which involves synchronized movements and heightened awareness to deceive predators, may result from it. When one prey species has group defensive systems while the other does not, there is a complex interaction between two competing prey species and one predator species. Ecosystem diversity, survival, and population stability may all be significantly impacted by this dynamic. Therefore, the purpose of this work is to propose and analyze a novel prey–predator system consisting of two competing prey with the biological traits mentioned above and a predator. The existence, boundedness, and positivity of the solution are investigated. Stability, persistence, and bifurcation analysis are investigated using a variety of mathematical techniques, including the linearization approach, the Lyapunov method, and the Sotomayor theorem. MATLAB R2021a is used to find numerical solutions to validate the theoretical conclusions and determine the effect of changing parameter values. Numerous dynamics, including bistable, periodic, and stable point behavior, are shown to be present in the system.

Suggested Citation

  • Rasha Ali Hamodi & Karrar Qahtan Al-Jubouri & Reem Mudar Hussien & Raid Kamel Naji, 2025. "The Dynamical Analysis of Food‐Web System With a Group Defense and Antipredator Property," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jijmms:v:2025:y:2025:i:1:n:7928875
    DOI: 10.1155/ijmm/7928875
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/ijmm/7928875
    Download Restriction: no
    File URL: https://libkey.io/10.1155/ijmm/7928875?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
    ---><---

    References listed on IDEAS

    as
    1. Érika Diz-Pita & M. Victoria Otero-Espinar, 2021. "Predator–Prey Models: A Review of Some Recent Advances," Mathematics, MDPI, vol. 9(15), pages 1-34, July.
    2. Basaznew Belew & Dawit Melese & Qiankun Song, 2022. "Modeling and Analysis of Predator-Prey Model with Fear Effect in Prey and Hunting Cooperation among Predators and Harvesting," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-14, December.
    3. Firas Hussean Maghool & Raid Kamel Naji, 2021. "The Dynamics of a Tritrophic Leslie‐Gower Food‐Web System with the Effect of Fear," Journal of Applied Mathematics, John Wiley & Sons, vol. 2021(1).
    4. Basaznew Belew & Dawit Melese, 2022. "Modeling and Analysis of Predator‐Prey Model with Fear Effect in Prey and Hunting Cooperation among Predators and Harvesting," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).
    5. Jiao, Xubin & Li, Xiaodi & Yang, Youping, 2022. "Dynamics and bifurcations of a Filippov Leslie-Gower predator-prey model with group defense and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    6. Firas Hussean Maghool & Raid Kamel Naji, 2021. "The Dynamics of a Tritrophic Leslie-Gower Food-Web System with the Effect of Fear," Journal of Applied Mathematics, Hindawi, vol. 2021, pages 1-21, September.
    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. Rasha A. Ali & Hiba Abdullah Ibrahim, 2025. "Role of Wind and Fear on the Dynamic of a Prey and Two Competing Predators," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    2. Roaa Hatem Talib & Raid Kamel Naji, 2025. "The Effect of Fear and Refuge on the Dynamics of a Predator–Prey Model Incorporating Disease in Predator," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    3. Zainab Saeed Abbas & Raid Kamel Naji, 2022. "Modeling and Analysis of the Influence of Fear on a Harvested Food Web System," Mathematics, MDPI, vol. 10(18), pages 1-37, September.
    4. Basaznew Belew, 2025. "Analyzing the Effect of Fear, and Refuge on Prey, Harvesting, and Hunting Cooperation Among Predators on Leslie–Gower Predator Prey Model," International Journal of Differential Equations, John Wiley & Sons, vol. 2025(1).
    5. Hersh Aziz Mohammed & Arkan Nawzad Mustafa, 2025. "Dynamical Analysis of a Delay Two‐Prey–One‐Predator Model Incorporating Fear Effect in the Growth Rate of Preys," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    6. Jiao, Xubin & Liu, Xiuxiang, 2024. "Rich dynamics of a delayed Filippov avian-only influenza model with two-thresholds policy," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    7. Manoj Kumar Singh & Arushi Sharma & Luis M. Sánchez-Ruiz, 2025. "Impact of the Allee Effect on the Dynamics of a Predator–Prey Model Exhibiting Group Defense," Mathematics, MDPI, vol. 13(4), pages 1-19, February.
    8. Thierry Roncalli, 2025. "Lecture Notes on Biodiversity," Post-Print hal-04982922, HAL.
    9. Thomas Schincariol & Hannah Frank & Thomas Chadefaux, 2025. "Accounting for variability in conflict dynamics: A pattern-based predictive model," Journal of Peace Research, Peace Research Institute Oslo, vol. 62(6), pages 2052-2069, November.
    10. Gang Wang & Ming Yi & Zaiyun Zhang, 2025. "Global Dynamics of a Predator–Prey System with Variation Multiple Pulse Intervention Effects," Mathematics, MDPI, vol. 13(10), pages 1-40, May.
    11. Zhang, Zhenjie & Yang, Ruizhi, 2026. "Dynamics analysis of a Filippov ash infectious diseases model with a saturated incidence rate and delayed mortality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 241(PA), pages 513-527.
    12. Xue, Yalong, 2024. "Impact of both-density-dependent fear effect in a Leslie–Gower predator–prey model with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    13. Singh, Yovan & Ghosh, Bapan & Mondal, Suman, 2026. "Delay-induced multiple stability scenarios, species coexistence, and predator extinction in an ecological system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 243(C), pages 171-195.
    14. Hiba Abdullah Ibrahim & Raid Kamel Naji, 2023. "The Impact of Fear on a Harvested Prey–Predator System with Disease in a Prey," Mathematics, MDPI, vol. 11(13), pages 1-28, June.
    15. Abdul Rahman Mahmoud Jamil & Raid Kamel Naji, 2022. "Modeling and Analysis of the Influence of Fear on the Harvested Modified Leslie–Gower Model Involving Nonlinear Prey Refuge," Mathematics, MDPI, vol. 10(16), pages 1-22, August.
    16. Zhu, Yuxun & Zhang, Zhengdi & Ji, Jinchen, 2024. "Bifurcations of a Filippov ecological system with an A-type discontinuity boundary," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    17. Jiao, Xubin & Liu, Li & Yu, Xiao, 2025. "Rich dynamics of a reaction–diffusion Filippov Leslie–Gower predator–prey model with time delay and discontinuous harvesting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 228(C), pages 339-361.
    18. Yu, Ning & Zhang, Xue, 2024. "Complex dynamics in tick-borne disease transmission: A Filippov-type control strategy model with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).

    More about this item

    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:wly:jijmms:v:2025:y:2025:i:1:n:7928875. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/6396 .

    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.