4 papers
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 mo…
Existence and stability of periodic solutions of a Lotka-Volterra system
Nguyen Thi Hoai Linh, Ta Hong Quang, Ta Viet Ton
In this paper, we study a Lotka-Volterra model which contains two prey and one predator with the Beddington-DeAngelis functional responses. First, we establish a set of sufficient…
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…