摘要
考虑了随机环境因素在对微生物的连续培养过程中的影响,研究了一类具有随机白噪声扰动因素下的Hassell-Varley型恒化器模型的渐近行为.首先利用停时证明了随机模型具有唯一的全局正解,其次利用Lyapunov函数和伊藤引理的方法获得了随机系统渐近稳定的充分条件,最后得到的限制条件保证了随机系统的解围绕正平衡点具有稳定的分布.
A chemostat model with Hassell-Varley functional response has been proposed and analyzed in which the model was influenced by white noises. First showed that the model has a global positive solution by using Ito formula and then detailed qualitative analysis about the global asymptotic stability of its equilibria is carried out.Finally showed the existence of a unique stationary distribution around the positive equilibrium.
作者
谭杨
郭子君
TAN Yang;GUO Zijun(Tongren Polytechnic College,Tongren 554300,China;Institute of Applied Mathematics,South China Agricultural University,Guangzhou 510642,China)
出处
《应用泛函分析学报》
2019年第1期93-100,共8页
Acta Analysis Functionalis Applicata
基金
广东省自然科学基金项目(2015A030310065)
铜仁市科技计划项目((2017)47-99)
关键词
恒化器
Hassell-Varley效应
随机干扰
随机渐近稳定
平稳分布
chemostat
Hassell-Varley functional response
stochastic perturbation
stochastically asymptotic stability
stationary distribution
