Stability and patterns of the nutrient-microorganism model with chemotaxis-Reference-Cited by-同舟云学术

Stability and patterns of the nutrient-microorganism model with chemotaxis

Published:2023-02-13 Issue:4 Volume:78 Page:315-323
ISSN:0932-0784
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Chen Mengxin¹,Wu Ranchao²

Affiliation:

1. College of Mathematics and Information Science , Henan Normal University , Xinxiang 453007 , China

2. School of Mathematics and Center for Pure Mathematics , Anhui University , Hefei 230601 , China

Abstract

Abstract In this paper, the stability and the bifurcations of the nutrient-microorganism model with chemotaxis are analyzed, subject to no-flux boundary conditions. By choosing the chemotaxis coefficient as the control parameter, it is found that the steady state bifurcation, the Hopf–Turing bifurcation, can happen in the model. The induced spatially homogeneous periodic solution, the non-constant steady state, and the spatially inhomogeneous periodic solution are exhibited. The results suggest that chemotaxis assimilated into the model could give rise to rich spatiotemporal dynamical behaviors.

Funder

National Natural Science Foundation of China

China Postdoctoral Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2022-0295/pdf

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