Title :
Asymptotic stability of stochastic delay Lotka-Volterra model with fractional Brownian motion
Author :
Qimin, Zhang ; Xining, Li
Author_Institution :
Sch. Math. & Comput. Sci., Ningxia Univ., Yinchuan, China
Abstract :
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 Itô formula, elementary inequality, Borel-Cantelli lemma, derived for stability purposes.
Keywords :
Brownian motion; Volterra equations; asymptotic stability; delays; stochastic processes; Borel Cantelli lemma; Hurst exponent H; Ito formula; asymptotic stability; elementary inequality; fractional Brownian motion; stochastic delay Lotka Volterra model; Brownian motion; Delay; Differential equations; Equations; Mathematical model; Noise; Stochastic processes; Fractional Brownian motion; Lotka-Volterra; Stochastic differential delay equation;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5554981
