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Turing instability and bifurcation in a predator-prey model with nonlocal fear and nonlinear cross-diffusion
Electronic Research Archive 2025, 33(12): 7428-7441
Published: 09 December 2025
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This paper has studied a predator-prey model that incorporates a nonlocal fear effect and nonlinear cross-diffusion under homogeneous Neumann boundary conditions. We have derived necessary and sufficient conditions for Turing instability in the presence of both nonlocal fear and nonlinear cross-diffusion by means of linear stability analysis. Moreover, we have investigated steady-state bifurcations induced by the nonlocal fear effect using the Lyapunov-Schmidt reduction.

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