AUTHOR=Arancibia-Ibarra Claudio , Flores José D. , van Heijster Peter 

TITLE=Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=7

YEAR=2022

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2021.731038

DOI=10.3389/fams.2021.731038

ISSN=2297-4687

ABSTRACT=<p>In this manuscript, we study a Leslie–Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We also identify regions in the parameter space in which different kinds of bifurcations, such as saddle-node bifurcations, Hopf bifurcations and Bogdanov–Takens bifurcations.</p>