恒化器
数学
遍历理论
李雅普诺夫指数
吸引子
稀释
应用数学
统计物理学
乘法函数
水蚤
数学分析
物理
非线性系统
热力学
生态学
遗传学
细菌
生物
水蚤
量子力学
甲壳动物
标识
DOI:10.1142/s0219493722400354
摘要
In this paper, we first construct a microfluidic chemostat model for the growth of biofilms and planktonic populations with random dilution ratios and then investigate its dynamical behavior. Using the theory of monotone dynamical systems and the Multiplicative Ergodic Theorem, we show the existence of random attractors and stationary measures, and present Lyapunov exponents for the linearized cocycle with respect to the random model. Further on, if the top Lyapunov exponent is negative, we give the extinction of microbial populations, including the forward and pull-back trajectories.
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