摘要
考虑了一类营养的转化率受到随机噪声干扰,具有HollingⅡ型功能性反应函数的随机恒化器模型.通过构造Liapunov函数,利用停时、伊藤公式证明了模型正解的全局存在唯一性.研究了模型解的长期渐近性态,主要揭示在不同条件下模型的解围绕其相应确定性模型的各类平衡点的振荡行为.
In this paper, a stochastic chemostat model with Holling II functional response and the nutrition conversion rate being influenced by white noise is considered. By constructing stochastic Liapunov function and using stopping time and Ito＇s formula, it is shown that there is an unique positive solution to the system with positive initial value. The long time behavior of the system is studied. Mainly, how the solution goes around the equilibriums of the corresponding deterministic system under different conditions is disclosed.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2012年第4期379-389,共11页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11271260
11001212)
上海市教委科研创新重点项目(13ZZ116)
关键词
随机恒化器模型
白噪声
随机渐近稳定
伊藤公式
stochastic chemostat model
white noise
stochastically asymptotical stability
Ito＇s formula
