@article{Zhao2025, 
author = {Meiling Zhao and Sen Wang and Biao Liu},
title = {Turing instability and bifurcation in a predator-prey model with nonlocal fear and nonlinear cross-diffusion},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {12},
pages = {7428-7441},
keywords = {predator-prey model, nonlinear cross-diffusion, nonlocal fear effect, Turing instability, steady-state bifurcation},
url = {https://www.sciopen.com/article/10.3934/era.2025327},
doi = {10.3934/era.2025327},
abstract = {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.}
}