Asymptotic Behaviors for Delay Lotka–Volterra Model Disturbed by G-Brownian Motion

Abstract EN

In this paper, we propose the stochastic Lotka–Volterra model with delay disturbed by G-Brownian motion dx=diagx1,x2,…,xnAxt−τ+bdBt+σxdBt.

Under a natural assumption on noise, we study existence and uniqueness of the global positive solution for the system and its asymptotic pathwise moment behavior and prove that the solution does not explode to infinity in a finite time.