Bifurcation analysis of a food chain chemostat model with Michaelis-Menten functional response and double delays-Reference-Cited by-同舟云学术

Bifurcation analysis of a food chain chemostat model with Michaelis-Menten functional response and double delays

Published:2022 Issue:7 Volume:7 Page:12154-12176
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Xu Xin¹,Qiu Yanhong¹,Chen Xingzhi²,Zhang Hailan¹,Liang Zhiyuan¹,Tian Baodan¹

Affiliation:

1. College of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China

2. College of Mathematics and Statistics, Chongqing University, Chongqing 400000, China

Abstract

<abstract><p>In this paper, we study a food chain chemostat model with Michaelis-Menten function response and double delays. Applying the stability theory of functional differential equations, we discuss the conditions for the stability of three equilibria, respectively. Furthermore, we analyze the sufficient conditions for the Hopf bifurcation of the system at the positive equilibrium. Finally, we present some numerical examples to verify the correctness of the theoretical analysis and give some valuable conclusions and further discussions at the end of the paper.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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