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Featured researches published by Ta Viet Ton.


Analysis and Applications | 2014

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 factor. Then, the existence and uniqueness of global solution to this system are verified. We show a result which agrees with natural fact that under the effect of large noise, there is no flocking. In contrast, if noise is small, then flocking may occur. Paper ends with some numerical examples.


Applied Mathematics and Computation | 2011

Dynamic of a stochastic predator–prey population

Atsushi Yagi; Ta Viet Ton

Abstract A stochastic predator–prey model is studied. Firstly, we prove the existence, uniqueness and positivity of the solution. Then, we show the upper bounds for moments and growth rate of population. In some cases, the growth rate is negative and the population dies out rapidly. The paper ends with some reviews for the paper [13] .


Analysis and Applications | 2011

DYNAMICS OF A STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY MODEL

Nguyen Thi Hoai Linh; Ta Viet Ton

In this paper, we consider a stochastic ratio-dependent predator-prey model. We firstly prove the existence, uniqueness and positivity of the solutions. Then, the boundedness of moments of population are studied. Finally, we show the upper-growth rates and exponential death rates of population under some conditions.


Communications on Stochastic Analysis | 2011

Dynamics of a stochastic predator-prey model with the Beddington-DeAngelis functional response

Ta Viet Ton; Atsushi Yagi


arXiv: Probability | 2015

An Ordinary Differential Equation Model for Fish Schooling

Takeshi Uchitane; Ta Viet Ton; Atsushi Yagi


arXiv: Probability | 2015

Some results on abstract stochastic semilinear evolution equations

Ta Viet Ton; Atsushi Yagi


arXiv: Dynamical Systems | 2015

Existence and stability of periodic solutions of a Lotka-Volterra system

Nguyen Thi Hoai Linh; Ta Hong Quang; Ta Viet Ton


arXiv: Probability | 2015

A stochastic differential equation model for foraging swarms

Ta Viet Ton; Nguyen Thi Hoai Linh; Atsushi Yagi


arXiv: Probability | 2015

Maximal regularity for abstract stochastic linear evolution equations

Ta Viet Ton; Atsushi Yagi


arXiv: Probability | 2015

Pattern formation in fish schooling

Nguyen Thi Hoai Linh; Ta Viet Ton; Atsushi Yagi

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Yoshitaka Yamamoto

National Institute of Advanced Industrial Science and Technology

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