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Turing patterns in an intraguild predator–prey model

Author

Listed:
  • Carfora, M.F.
  • Iovanna, F.
  • Torcicollo, I.

Abstract

Intraguild predation, representing a true combination of predation and competition between two species that rely on a common resource, is of foremost importance in many natural communities. We investigate a spatial model of three species interaction, characterized by a Holling type II functional response and linear cross-diffusion. For this model we report necessary and sufficient conditions ensuring the insurgence of Turing instability for the coexistence equilibrium; we also obtain conditions characterizing the different patterns by multiple scale analysis. Numerical experiments confirm the occurrence of different scenarios of Turing instability, also including Turing–Hopf patterns.

Suggested Citation

  • Carfora, M.F. & Iovanna, F. & Torcicollo, I., 2025. "Turing patterns in an intraguild predator–prey model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 232(C), pages 192-210.
    • Handle: RePEc:eee:matcom:v:232:y:2025:i:c:p:192-210
    DOI: 10.1016/j.matcom.2024.12.022
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    References listed on IDEAS

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    1. Maria Francesca Carfora & Isabella Torcicollo, 2020. "Cross-Diffusion-Driven Instability in a Predator-Prey System with Fear and Group Defense," Mathematics, MDPI, vol. 8(8), pages 1-20, July.
    2. Pal, Debjit & Kesh, Dipak & Mukherjee, Debasis, 2023. "Qualitative study of cross-diffusion and pattern formation in Leslie–Gower predator–prey model with fear and Allee effects," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. Capone, F. & Carfora, M.F. & De Luca, R. & Torcicollo, I., 2018. "On the dynamics of an intraguild predator–prey model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 149(C), pages 17-31.
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