Dynamics of a Discrete Two-Species Competitive Model with Michaelies-Menten Type Harvesting in the First Species
Year: 2023
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 494–523
Abstract
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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.494
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 494–523
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Competitive model with Michaelis-Menten type harvesting semidiscretization method transcritical bifurcation period-doubling bifurcation pitchfork bifurcation.