Stability and patterns of the nutrient-microorganism model with chemotaxis

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...

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Bibliographic Details
Published inZeitschrift für Naturforschung. A, A journal of physical sciences Vol. 78; no. 4; pp. 315 - 323
Main Authors Chen, Mengxin, Wu, Ranchao
Format Journal Article
LanguageEnglish
Published De Gruyter 25.04.2023
Subjects
chemotaxis
nutrient-microorganism model
spatiotemporal pattern
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Summary: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.
ISSN:0932-0784
1865-7109
DOI:10.1515/zna-2022-0295