一类基于比率与时滞依赖的捕食-食饵系统的随机模型

摘要

研究一类两种群随机Lotka-Volterra捕食-食饵模型。在时滞作用的影响下，在外界环境噪音的假设下，证明系统存在唯一正的全局解，并且这个解是随机最终有界的。%A class of two species stochastic Lotka-Volterra predator-prey system is discussed. It shows that under a suitable hypothesis on the environmental noise,the stochastic Lotka-Volterra system has a unique global positive solution and this positive solution will be stochastically ultimately bounded.