Stability and Bifurcation Analysis of a Predator-Prey Model with Michaelis-Menten Type Prey Harvesting

  • Chen W
N/ACitations
Citations of this article
7Readers
Mendeley users who have this article in their library.

Abstract

In this paper, we investigated stability and bifurcation behaviors of a preda-tor-prey model with Michaelis-Menten type prey harvesting. Sufficient con-ditions for local and global asymptotically stability of the interior equilibrium point were established. Some critical threshold conditions for transcritical bifurcation, saddle-node bifurcation and Hopf bifurcation were explored analytically. Furthermore, It should be stressed that the fear factor could not only reduce the predator density, but also affect the prey growth rate. Finally, these theoretical results revealed that nonlinear Michaelis-Menten type prey harvesting has played an important role in the dynamic relationship, which also in turn proved the validity of theoretical derivation.

Cite

CITATION STYLE

APA

Chen, W. (2022). Stability and Bifurcation Analysis of a Predator-Prey Model with Michaelis-Menten Type Prey Harvesting. Journal of Applied Mathematics and Physics, 10(02), 504–526. https://doi.org/10.4236/jamp.2022.102038

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free