@Article{JNMA-6-712,
author = {Wu , Ranchao and Qin , Xiaoyu},
title = {Stability and Bifurcation Analysis of the Nutrient-Microorganism Model},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {3},
pages = {712--731},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.712},
url = {http://global-sci.org/intro/article_detail/jnma/23358.html}
}