31 citations · 32 across the 5 of their papers we have counts for
5 papers
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…
A new instability framework in 2-component reaction-diffusion systems
Hirofumi Izuhara, Shunsuke Kobayashi
This paper concerns pattern formation in 2-component reaction-diffusion systems with linear diffusion terms and a local interaction. We propose a new instability framework with 0-m…
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…
Oscillations and Bifurcation Structure of Reaction-Diffusion Model for Cell Polarity Formation
Masataka Kuwamura, Hirofumi Izuhara, Shin-ichiro Ei
We investigate the oscillatory dynamics and bifurcation structure of a reaction-diffusion system with bistable nonlinearity and mass conservation, which was proposed by [Otsuji et…
Turing instability in Reaction-Diffusion models on complex networks
Yusuke Ide, Hirofumi Izuhara, Takuya Machida
In this paper, the Turing instability in reaction-diffusion models defined on complex networks is studied. Here, we focus on three types of models which generate complex networks,…