Yoshihisa Morita
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View article: Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model
Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model Open
We deal with a mass-conserved three-component reaction-diffusion system which is proposed by a model describing the dynamics of wavelike actin polymerization in the macropinocytosis and numerically exhibits dynamical patterns such as annih…
View article: Front profile in time backward for the bistable reaction-diffusion equation on metric graphs
Front profile in time backward for the bistable reaction-diffusion equation on metric graphs Open
In the bistable reaction-diffusion equation on a half-line there exists an entire solution exhibiting the front propagation from the infinity of the line.We glue an arbitrary number of half-lines at a single point (junction) to build a met…
View article: Singular limit for a reaction-diffusion-ODE system in a neolithic transition model
Singular limit for a reaction-diffusion-ODE system in a neolithic transition model Open
A reaction-diffusion-ODE model for the Neolithic spread of farmers in Europe has been recently proposed in [7]. In this model, farmers are assumed to be divided into two subpopulations according to a mobility rule, namely, into sedentary a…
View article: Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph Open
We deal with the bistable reaction-diffusion equation in an infinite star graph, which consists of several half-lines with a common end point. The aim of our study is to show the existence of front-like entire solutions together with the a…
View article: Turing type instability in a diffusion model with mass transport on the boundary
Turing type instability in a diffusion model with mass transport on the boundary Open
Some reaction-diffusion models describing the cell polarity are proposed, where the system has two independent variables standing for the concentration of proteins in the membrane and the cytosol respectively. In this article we deal with …
View article: Entire Solutions of the Fisher-KPP Equation on the Half Line
Entire Solutions of the Fisher-KPP Equation on the Half Line Open
In this paper we study the entire solutions of the Fisher-KPP equation $u_t=u_{xx}+f(u)$ on the half line $[0,\infty)$ with Dirichlet boundary condition at $x=0$. (1). For any $c\geq 2\sqrt{f'(0)}$, we show the existence of an entire solut…
View article: Preface
Preface Open
Professor Paul Chase Fife was born in Cedar City, Utah, on February 14, 1930. After undergraduate studies at the University of Chicago, he obtained a Master's degree in physics from the University ofCalifornia Berkeley where he also receiv…