TY - JOUR
T1 - Dynamics of a Discrete Two-Species Competitive Model with Michaelies-Menten Type Harvesting in the First Species
AU - Jin , Xin
AU - Li , Xianyi
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 494
EP - 523
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.494
UR - https://global-sci.org/intro/article_detail/jnma/21948.html
KW - Competitive model with Michaelis-Menten type harvesting, semidiscretization method, transcritical bifurcation, period-doubling bifurcation, pitchfork bifurcation.
AB - <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>