数学杂志2018，Vol.38Issue(4)：721-730,10.
具有反馈控制和时滞的随机logistic种群模型的均值稳定性与灭绝性
STABILITY IN THE MEAN AND EXTINCTION OF A STOCHASTIC LOGISTIC POPULATION SYSTEM WITH FEEDBACK CONTROLS AND DELAYS
摘要
Abstract
Stability in the mean and extinction of a stochastic logistic population system with feedback controls and delays are studied in this paper. By using the analytic method and itˇo's formula, necessary and sufficient condition for the stability in the mean and extinction of the population are almost obtained; Then we extend the model to general case, so that the stability in the mean and extinction of n species stochastic Lotka-Volerra competitive system with feedback controls and delays are considered, and sufficient conditions for stability in the mean and extinction of each population are established.关键词
反馈控制/均值稳定性/灭绝性/时滞Key words
feedback controls/stability in the mean/extinction/delay分类
数理科学引用本文复制引用
戴祥军,毛志,徐松金..具有反馈控制和时滞的随机logistic种群模型的均值稳定性与灭绝性[J].数学杂志,2018,38(4):721-730,10.基金项目
贵州省科技厅合作协议项目(黔科合LH 字[2016]7300 号) （黔科合LH 字[2016]7300 号）
贵州省创新群体重大研究项目(黔教合KY字[2016]051). （黔教合KY字[2016]051）
