具有脉冲扰动的时滞随机Chemostat模型的全局吸引性(英文)  

GLOBAL ATTRACTIVITY FOR STOCHASTIC IMPULSIVE CHEMOSTAT MODEL INVOLVING DISTRIBUTED DELAYS

作　　者：张琦[1] 

机构地区：[1]南京航空航天大学理学院,南京210016

出　　处：《南京大学学报（数学半年刊）》2012年第2期126-138,共13页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by NSFC(No1127182 and 11201230)

摘　　要：本文研究了具有混合时滞的随机关脉冲Chemostat模型.混合时滞包括无穷时滞和分布时滞.通过运用M-矩阵理论、微分不等式技巧和随机分析等工具,给出了具有脉冲扰动系统奇点全局吸引的充分条件.同时,给出例子说明本文的方法.In this paper, a stochastic impulsive chemostat model involving mixed delays is considered. The mixed time delays comprise both the time-varying and infinite distributed delays. By employing a combination of the M-matrix theory and stochastic analysis technique, a sufficient condition is obtained to ensure the attractivity of the equilibrium point for the addressed impulsive stochastic chemostat model with mixed delays. An example is given to show the effectiveness of the obtained results.

关 键 词：随机Chemostat模型 p-指数稳定性 平衡点 伊藤公式 

分 类 号：O175[理学—数学]