Global asymptotic stability of stochastic nonautonomous Lotka-Volterra models with infinite delay
Summary: A class of general stochastic nonautonomous Lotka-Volterra models with infinite delay is investigated. By constructing several suitable Lyapunov functions, the existence and uniqueness of a global positive solution and global asymptotic stability are obtained. Further, the solution asymptotically follows a normal distribution by means of linearizing the stochastic differential equation. Moment estimations in time average are derived to improve the approximation distribution. Finally, numerical simulations are given to illustrate our conclusions.
scientific article; zbMATH DE number 6306680