Asymptotic Stability of Stochastic Delay Lotka-Volterra Model with Fractional Brownian Motion

摘要

In this paper, a stochastic delay Lotka-Volterra model with Hurst exponent H being in (0; 1 2) is established. Sufficient conditions of asymptotic stability are obtained for stochastic delay Lotka-Volterra model with fractional Brownian motion. The analyses are conducted by using It.o formula, elementary inequality, Borel-Cantelli lemma, derived for stability purposes.