Turing patterns in an intraguild predator–prey model

M.F. Carfora, F. Iovanna and I. Torcicollo

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 232, issue C, 192-210

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.

Keywords: Intraguild predation; Amplitude equations; Turing instability; Turing–Hopf bifurcation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:232:y:2025:i:c:p:192-210

DOI: 10.1016/j.matcom.2024.12.022

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