随机扰动下的非自治种群的随机持久性(英文)  

Stochastic Permanence for Non-autonomous Population under Random Perturbation

作　　者：钟丽华[1] 柏灵[2] 

机构地区：[1]吉林北华大学数学教学中心,吉林吉林132013 [2]吉林大学数学学院,吉林长春130012

出　　处：《应用数学》2012年第3期506-514,共9页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11101183,11171056, 11171081);985Program of Jilin University

摘　　要：本文考虑非线性随机扰动下的生态种群的问题.首先给出全局正解的存在性.其次,在合理的条件下讨论随机最终有界和随机持久问题,同时也给出解的渐近估计.In this paper, we consider a non-autonomous biological population under nonlinear ran- dom perturbation First we give the sufficient condition for the existence of global positive solutions. Stochastic ulti- mately boundedness and stochastic permanence are obtained under some assumptions, as well as some asymptotical properties are estimated.

关 键 词：布朗运动 随机微分方程 广义Itō公式 随机持久 

分 类 号：O211.63[理学—概率论与数理统计]