包含细胞大小、时间延迟和控制的絮凝模型的稳定性分析

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-09-03 DOI:10.1016/j.aml.2024.109294

Dongdong Ni , Wanbiao Ma , Qinglai Wei

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引用次数: 0

摘要

从生物学角度来看，藻细胞大小对营养吸收的影响以及繁殖的时间延迟至关重要。此外，在藻类絮凝收获和污水处理过程中，控制也是必要的。因此，我们研究了具有时间延迟、大小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，我们分析了正平衡态的存在，并研究了模型的平衡态。最后，通过数值模拟发现该模型表现出向后分叉。

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Stability analysis of a flocculation model incorporating cell size, time delay, and control

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.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.