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

被引：0

作者：

Ni, Dongdong ^{[1
]}

Ma, Wanbiao ^{[2
]}

Wei, Qinglai ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China

[2] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2025年 / 160卷

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

Flocculation; Heterotrophic; Cell size; Equilibrium states; Backward bifurcation;

D O I：

10.1016/j.aml.2024.109294

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：6