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| 摘要: |
| 本文研究了一类具有反馈控制的随机logistic种群系统的均值稳定性与灭绝性.利用分析法和伊藤公式等方法，几乎得到了该种群均值稳定性与灭绝性的充要条件；然后又把该模型推广到一般情形，考虑了一类具有反馈控制和时滞的n个种群的随机Lotka-Volerra竞争系统的均值稳定性与灭绝性，并提出了该系统各种群均值稳定与灭绝的充分条件. |
| 关键词: 反馈控制 均值稳定性 灭绝性 时滞 |
| DOI： |
| 分类号:O211.63 |
| 基金项目:贵州省科技厅合作协议项目（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）. |
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| STABILITY IN THE MEAN AND EXTINCTION OF A STOCHASTIC LOGISTIC POPULATION SYSTEM WITH FEEDBACK CONTROLS AND DELAYS |
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DAI Xiang-jun,MAO Zhi,XU Song-jin
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| 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 itǒ's formula, necessary and su-cient 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 su-cient conditions for stability in the mean and extinction of each population are established. |
| Key words: feedback controls stability in the mean extinction delay |
