带分数布朗运动的随机时滞Lotka-Volterra模型的渐近性

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

给出了一类带有H指数的随机延迟Lotka-Volterra模型。利用伊藤公式、基本不等式和Borel-Cantelli引理,得到了带有分数布朗运动的随机延迟Lotka-Volterra模型渐近稳定的充分条件。

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 formula,elementary inequality and Borel-Cantelli lemma.