33 citations · 59 across the 9 of their papers we have counts for
9 papers
Mathematical Models for Fish Schooling
Linh Thi Hoai Nguyen, Ton Viet Ta, Atsushi Yagi
This note reviews our mathematical models for fish schooling, considered in free space, and in space with obstacle and food resource. These models are performed by stochastic diffe…
Asymptotic Convergence of Solutions for One-Dimensional Keller-Segel Equations
Satoru Iwasaki, Koichi Osaki, Atsushi Yagi
The second and third authors of this paper have constructed in [14] finite-dimensional attractors for the one-dimensional Keller-Segel equations. They have also remarked in [14, Se…
Obstacle avoiding patterns and cohesiveness of fish school
Linh Thi Hoai Nguyen, Viet Ton Ta, Atsushi Yagi
This paper is devoted to studying obstacle avoiding patterns and cohesiveness of fish school. First, we introduce a model of stochastic differential equations (SDEs) for describing…
A sustainability condition for stochastic forest model
Ton Viet Ta, Linh Thi Hoai Nguyen, Atsushi Yagi
A stochastic forest model of young and old age class trees is studied. First, we prove existence, uniqueness and boundedness of global nonnegative solutions. Second, we investigate…
Flocking and non-flocking behavior in a stochastic Cucker-Smale system
Ta Viet Ton, Nguyen Thi Hoai Linh, Atsushi Yagi
We first present a new stochastic version of the Cucker-Smale model of the emergent behavior in flocks in which the mutual communication between individuals is affected by random f…
An Ordinary Differential Equation Model for Fish Schooling
Takeshi Uchitane, Ta Viet Ton, Atsushi Yagi
This paper presents a stochastic differential equation model for describing the process of fish schooling. The model equation always possesses a unique local solution, but global e…
Strict solutions to stochastic parabolic evolution equations in M-type 2 Banach spaces
Ton Viet Ta, Yoshitaka Yamamoto, Atsushi Yagi
We study a stochastic linear evolution equation in a Banach space of M-type 2. We construct unique strict solutions to the equation on the basis of th…
Stochastic parabolic evolution equations in M-type 2 Banach spaces
Ton Viet Ta
This paper is devoted to studying stochastic parabolic evolution equations with additive noise in Banach spaces of M-type 2. We construct both strict and mild solutions possessing…
Abstract stochastic evolution equations in M-type 2 Banach spaces
Ta Viet Ton, Atsushi Yagi
This paper devotes to studying abstract stochastic evolution equations in M-type 2 Banach spaces. First, we handle nonlinear evolution equations with multiplicative noise. The exis…