Asymptotic stability of stochastic delay Lotka-Volterra model with fractional Brownian motion

@article{Qimin2010AsymptoticSO,
  title={Asymptotic stability of stochastic delay Lotka-Volterra model with fractional Brownian motion},
  author={Zhang Qimin and Li Xining},
  journal={2010 8th World Congress on Intelligent Control and Automation},
  year={2010},
  pages={3920-3924}
}
In this paper, a stochastic delay Lotka-Volterra model with Hurst exponent H being in (0; 1 over 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 Itô formula, elementary inequality, Borel-Cantelli lemma, derived for stability purposes.