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math.AP2026
Traveling waves of a reaction-diffusion system with partially coupled diffusion
Thomas Giletti, Hirofumi Izuhara, Harunori Monobe
This work is devoted to the study of traveling wave solutions of reaction-diffusion systems, where the diffusion rate of~, the second component, depends on~, the first compon…
math.AP2021
An aggregation model of cockroaches with fast-or-slow motion dichotomy
Jan Elias, Hirofumi Izuhara, Masayasu Mimura +1
We propose a mathematical model, namely a reaction-diffusion system, to describe social behaviour of cockroaches. An essential new aspect in our model is that the dispersion behavi…