讨论了Hilbert空间上一类带扩散的随机种群系统的指数稳定性,利用Ito公式、指数鞅公式和一些特殊不等式得到了带扩散的随机种群系统指数稳定的充分条件.
The exponential stability of stochastic age-dependent population with diffusion in Hilbert space is discussed. By using Ito's formula, exponential martingale formula and Gronwall's Lemma, the sufficient conditions of exponential stability of stochastic age-dependent population with diffusion are obtained.