期刊论文

Asymptotic Stability of a Stochastic Discrete Logistic Equation with Delay

中文

数学理论与应用

1006-8074

2015

35

3

23-29

本校为第一机构

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...