J. Nonl. Mod. Anal., 5 (2023), pp. 494-523.
Published online: 2023-08
[An open-access article; the PDF is free to any online user.]
Cited by
- BibTex
- RIS
- TXT
In this paper, we use a semidiscretization method to derive a discrete two-species competitive model with Michaelis-Menten type harvesting in the first species. First, the existence and local stability of fixed points of the system are investigated by employing a key lemma. Subsequently, the transcritical bifurcation, period-doubling bifurcation and pitchfork bifurcation of the model are investigated by using the Center Manifold Theorem and bifurcation theory. Finally, numerical simulations are presented to illustrate corresponding theoretical results.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.494}, url = {http://global-sci.org/intro/article_detail/jnma/21948.html} }In this paper, we use a semidiscretization method to derive a discrete two-species competitive model with Michaelis-Menten type harvesting in the first species. First, the existence and local stability of fixed points of the system are investigated by employing a key lemma. Subsequently, the transcritical bifurcation, period-doubling bifurcation and pitchfork bifurcation of the model are investigated by using the Center Manifold Theorem and bifurcation theory. Finally, numerical simulations are presented to illustrate corresponding theoretical results.