生物膜生长的流体动力学多维模型：稳定性、环境影响和敏感性
A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity
摘要：
在这篇文章中，我们详细研究了Clarelli等人（2013）提出的流体动力学系统，以模拟蓝藻生物膜的形成。在分析了系统唯一非平凡平衡点的线性稳定性后，我们在模型中引入了光照和温度这两个影响蓝藻生物膜生长的重要因素。由于我们使用我们的模拟系数的值估计通过文献中找到的信息，对这些参数进行了一些敏感性和鲁棒性分析。所有这些元素使我们能够控制和验证我们已经推导出的模型，并在2D和3D的情况下提出一些数值模拟。
英文摘要：
In this article, we study in details the fluid dynamics system proposed in Clarelli et al (2013) to model the formation of cyanobacteria biofilms. After analyzing the linear stability of the unique non trivial equilibrium of the system, we introduce in the model the influence of light and temperature, which are two important factors for the development of cyanobacteria biofilm. Since the values of the coefficients we use for our simulations are estimated through information found in the literature, some sensitivity and robustness analyses on these parameters are performed. All these elements enable us to control and to validate the model we have already derived and to present some numerical simulations in the 2D and the 3D cases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
