一类随机离散Logistic时滞方程的渐近稳定性（英文）  

Asymptotic Stability of a Stochastic Discrete Logistic Equation with Delay

作　　者：吴小花[1] 廖新元[1] 葛玲玲[1] 

机构地区：[1]南华大学数理学院,衡阳421001

出　　处：《数学理论与应用》2015年第3期23-29,共7页Mathematical Theory and Applications

摘　　要：本文提出了一类Logistic时滞模型的随机离散形式,并对其进行了研究.首先,讨论了相对应的确定性离散模型的稳定解.其次,在一些简单的条件下,证明了随机离散Logistic方程的渐近稳定性.最后,利用数值仿真说明了主要结果.In this paper, a stochastic discretized version of the Logistic model with delay is proposed and studied. First, a stability result is established for the corresponding deterministic discrete model. Then, under some simple conditions, the almost surely asymptotic stability of solutions to stochastic discrete Logistic equation is proved. The main result is supported with numerical simulation.

关 键 词：随机稳定 Logistic差分方程 时滞Lyapunov理论鞅收敛定理 

分 类 号：O175.7[理学—数学]