Global Stability of A Stochastic Predator-prey Model with Stage-structure  

一类具有阶段结构的随机捕食与被捕食模型的全局稳定性分析（英文）

作　　者：BAI Hong-fang XU Rui 

机构地区：[1]Basic Department of Military and Politics, Army Engineering University of PLA, Shijiazhuang cam-pus, Shijiazhuang 050003, P.R. China

出　　处：《Chinese Quarterly Journal of Mathematics》2017年第4期425-431,共7页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Nos.11371368);The Natural Science Foundation of HeBei(No.A2014506015)

摘　　要：In this paper, a stochastic predator-prey model with stage structure for predatorand ratio-dependent functional response is concerned. Sufficient conditions for the globalasymptotic stability of positive equilibrium are established. Some numerical simulations arecarried out to illustrate the theoretical results.In this paper, a stochastic predator-prey model with stage structure for predator and ratio-dependent functional response is concerned. Sufficient conditions for the global asymptotic stability of positive equilibrium are established. Some numerical simulations are carried out to illustrate the theoretical results.

关 键 词：STOCHASTIC PREDATOR-PREY model STAGE-STRUCTURE global stability Ito's FORMULA 

分 类 号：O175.13[理学—数学]