Year: 2024
Author: Ranchao Wu, Xiaoyu Qin
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 712–731
Abstract
Stability analysis and bifurcation of the nutrient-microorganism model are presented in this paper. It is found that the model could experience the changes of the equilibrium points and the saddle-node, the Hopf and the codimension-2 Bogdanov-Takens bifurcations. The induced complex dynamics are also illustrated, by virtue of theory like the Sotomayor’s theorem, the normal form and the universal unfolding. From the obtained results, some insights into interaction between the nutrient and the microorganism can be given. Further, numerical simulation is carried out to verify the theoretical results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.712
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 712–731
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Nutrient-microorganism model coexistence Bogdanov-Takens bifurcation.