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math.AP2026
Turing bifurcation, criticality, and multistability in a nonlocal advection-reaction-diffusion equation
Yui Nagayama, Masaharu Nagayama, Hiroshi Ishii
This paper considers a nonlocal advection--reaction--diffusion equation with logistic growth. We investigate how the interaction kernel affects the criticality of Turing bifurcatio…
math.AP2026
Global front solutions converging to an asymptotic traveling wave in a time-fractional Amari model
Hiroshi Ishii
We study front propagation in a time-fractional Amari neural field equation with a Caputo derivative and a Heaviside firing-rate function. For a class of nonnegative even connectiv…