@Article{JNMA-5-3,
author = {Xin, Jin and Xianyi, Li},
title = {Dynamics of a Discrete Two-Species Competitive Model with Michaelies-Menten Type Harvesting in the First Species},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {3},
pages = {494--523},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.494},
url = {https://global-sci.com/article/87884/dynamics-of-a-discrete-two-species-competitive-model-with-michaelies-menten-type-harvesting-in-the-first-species}
}