两种群随机捕食者-食饵系统的渐近性质

Asymptotic Properties of a Two Species Stochastic Predator-Prey System

研究了一类自治两种群随机Lotka-Volterra捕食-食饵模型.通过应用随机微分方程理论,伊藤公式和Lyapunov函数方法得到了系统唯一正全局解的存在性,有界性以及部分渐进性质的充分条件.

This paper studies a class of autonomous two species stochastic Lotka-Volterra predator-prey system.By means of the theory of stochastic differential equations,It6,s formula and the method of Lyapunov functions to derived some sufficient conditions on the existence of unique global positive solution and some asymptotic bound properties of the solution.