Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors
Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors
复制标题
DOI：
10.1007/s10910-014-0321-5
复制
发表时间：
2014-02
影响因子：
1.7
通讯作者：
Tonghua Zhang;Zhenzhen Chen;Maoan Han
中科院分区：
文献类型：
--
作者：
Tonghua Zhang;Zhenzhen Chen;Maoan Han
本文研究了反应堆叶栅中采用Contois增长率时随机模型的长时间行为。我们首先研究了模型正解的存在唯一性。然后，它是其次是随机稳定性分析的平衡点，这是基于所谓的李雅普诺夫函数。研究表明，在一定条件下，洗出平衡和非洗出平衡都是随机稳定的。最后，通过数值模拟验证了理论结果。
In this paper, the long time behavior of a stochastic model is studied when the Contois growth rate is employed in reactor cascades. We first investigate the existence and uniqueness of the positive solution of the model. Then it is followed by the stochastic stability analysis of the equilibria, which is based on the so-called Lyapunov function. Our study shows that under certain condition, both the washout and non-washout equilibria are stochastically stable. At the end of this paper, numerical simulations are carried out to illustrate our theoretical results.