A rigorous mathematical modeling of the symbiotic interaction between microalgae and bacteria in a stagnant pond is applied to analyze the effect of the operating conditions on the bioprocess kinetics. The microbial co-culture is described by a partial differential equations system, which is solved by a combined numerical method based on the Lagrangian Particle Tracking for microalgae transport equation and the Orthogonal Cubic Hermite Collocation for remaining transport equations. The effect of the temperature and light intensity, alkalinity, turbidity, initial ratio of biomasses, algal cell size, pond depth on the algal biomass productivity and the substrates removal is analyzed. It was found that all of them significantly affect the biomass production and the substrates removal, which is discussed in detail. Besides, a strong symbiotic interaction between cell growth of microalgae and bacteria is observed; specifically, bacterial growth was restricted by the microalgal growth, due to the limitation of dissolved oxygen.

死池中微藻与细菌之间的共生相互作用的严格数学模型被用来分析操作条件对生物过程动力学的影响。微生物共培养是通过偏微分方程系统描述的，该系统通过基于拉格朗日粒子跟踪的微藻迁移方程和正交立方赫姆配位的剩余迁移方程的组合数值方法求解。分析了温度和光强度，碱度，浊度，生物量的初始比例，藻类细胞大小，池深对藻类生物量生产率和底物去除的影响。发现所有这些都显着影响生物量的产生和底物的去除，对此进行了详细讨论。除了，观察到微藻细胞生长与细菌之间有很强的共生相互作用；具体而言，由于溶解氧的限制，细菌的生长受到微藻生长的限制。