THEORETICAL EXPLORATION AND CONTROLLER DESIGN OF BIFURCATION IN A PLANKTON POPULATION DYNAMICAL SYSTEM ACCOMPANYING DELAY

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作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Xu, Changjin;Ou, Wei;Cui, Qingyi;Pang, Yicheng;Liao, Maoxin;...

通讯作者：

Xu, CJ

作者机构：

[Xu, Changjin; Xu, CJ] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550025, Peoples R China.

[Cui, Qingyi; Pang, Yicheng; Ou, Wei] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China.

[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.

[Shen, Jianwei] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China.

[Baber, Muhammad zafarullah] Univ Lahore, Dept Math & Stat, Lahore, Pakistan.

通讯机构：

[Xu, CJ ] G

Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550025, Peoples R China.

语种：

英文

关键词：

Plankton population dynamical system;Hopf bifurcation;extended hybrid controller;stability;nonlinear delayed feedback controller;nature of solution

期刊：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S

ISSN：

1937-1632

年：

2024

页码：

0-0

DOI：

10.3934/dcdss.2024036

基金类别：

National Natural Science Foundation of China [12261015, 62062018]; Project of High-level Innovative Talents of Guizhou Province [[2016] 5651]

机构署名：

本校为其他机构

院系归属：

数理学院

摘要：

Formulating suitable dynamical models to describe the interplay of different chemical substance in biology and chemistry is a very interesting topic. In this article, we set up a new plankton population dynamical system accompanying delay. Taking advantage of fixed point theorem and appropriate function, we derive the criteria on existence and uniqueness, boundedness of the solutions of the established plankton population dynamical system. By applying Hopf bifurcation and stability theorem of delayed dynamical system, we analyze the emergence of Hopf bifurcation and stability trait of the esta...

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