Turing‐Hopf Bifurcation of a Diffusive Predator‐Prey System with Nonlocal Effect and Group Defense in Prey Against Generalist Predator

• Published in: Mathematical methods in the applied sciences Vol. 48; no. 12; pp. 12365 - 12386
• Main Author: Lv, Yehu
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 01.08.2025
• Subjects: Boundary conditions; Canonical forms; Diffusion coefficient; generalist predator; group defense; Hopf bifurcation; nonlocal effect; normal form; Populations; Predators; Stability; Turing–Hopf bifurcation

ABSTRACT In this paper, we propose a diffusive predator–prey system with nonlocal effect and group defense mechanisms in the prey against a generalist predator, subject to homogeneous Neumann boundary condition. We then analyze the codimension‐two Turing–Hopf bifurcation of this system. Specifically...