The influence of algal cell size on nutrient absorption, and the time delay in reproduction is paramount in biological terms. Furthermore, the control is necessary during algal flocculation harvesting and sewage treatment. Therefore, we investigated the properties of a single cell algal flocculation model with time delay, size structure and control. First, we introduced a dimensionless model. Then, we analyzed the existence of positive equilibrium states and studied the equilibrium states of the model. Finally, the numerical simulation revealed that the model exhibits backward bifurcation.

中文翻译：

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絮凝模型的稳定性分析，包括泡孔大小、时间延迟和控制


藻类细胞大小对营养吸收和繁殖时间延迟的影响在生物学方面至关重要。此外，在藻类絮凝收获和污水处理过程中，控制是必要的。因此，我们研究了具有时间延迟、尺寸结构和控制的单细胞藻类絮凝模型的特性。首先，我们引入了一个无量纲模型。然后，我们分析了正均衡状态的存在，并研究了模型的平衡状态。最后，数值模拟表明该模型表现出向后分叉。