2 citations · 4 across the 6 of their papers we have counts for
6 papers
The long-time behavior of solutions of a three-component reaction-diffusion model for the population dynamics of farmers and hunter-gatherers: the different motility case
Dongyuan Xiao, Ryunosuke Mori
In this paper, we investigate the spreading properties of solutions of the Aoki-Shida-Shigesada model. This model is a three-component reaction-diffusion system that delineates the…
Brakke's formulation of velocity and the second order regularity property
Ryunosuke Mori, Eita Tomimatsu, Yoshihiro Tonegawa
Suppose that a family of -dimensional surfaces in evolves by the motion law of in the sense of Brakke's formulation of velocity, where is the nor…
Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers
Dongyuan Xiao, Mori Ryunosuke
In this paper, we investigate the spreading properties of solutions of farmer and hunter-gatherer model which is a three-component reaction-diffusion system. Ecologically, the mode…
Validity of formal expansions for singularly perturbed competition-diffusion systems
Ryunosuke Mori
We consider a two-species competition-diffusion system involving a small parameter and discuss the validity of formal asymptotic expansions of solutions near the sh…
A variational problem associated with the minimal speed of traveling waves for spatially periodic KPP type equations
Dongyuan Xiao, Ryunosuke Mori
We consider a variational problem associated with the minimal speed of pulsating traveling waves of the equation , , where the coeffic…
On mean curvature flow with driving force starting as singular initial hypersurface
Ryunosuke Mori, Longjie Zhang
We consider an axisymmetric closed hypersurface evolving by its mean curvature with driving force under singular initial hypersurface. We study this problem by level set method. We…