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Turing bifurcation, criticality, and multistability in a nonlocal advection-reaction-diffusion equation

Nagayama, Yui et al.
arXiv (All) · Papers
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analysis-of-pdespattern-formation-and-solitons
This paper considers a nonlocal advection--reaction--diffusion equation with logistic growth. We investigate how the interaction kernel affects the criticality of Turing bifurcations and the associated multistability. We first prove that nonhomogeneous stationary solutions bifurcate from the positiv
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