一类基于比率与时滞依赖的捕食-食饵系统的随机模型  

A Stochastic Model on Predator-prey System of Two Species with Ratio and Time Delay Dependence

作　　者：孙杰[1] 

机构地区：[1]南京财经大学应用数学学院,江苏南京210046

出　　处：《苏州市职业大学学报》2016年第1期54-57,66,共5页Journal of Suzhou Vocational University

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.

关 键 词：随机捕食-食饵系统 伊藤公式 随机最终有界 

分 类 号：O175[理学—数学]