The Dynamics of Sokol-Howell Prey-Predator Model Involving Strong Allee Effect

Saad Al-Momen; Raid Kamil  Naji

doi:10.24996/ijs.2021.62.9.27

Authors

Saad Al-Momen Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-9715-4529
Raid Kamil Naji Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.9.27

Keywords:

Prey-Predator model, Sokol-Howell functional response, Strong Allee Effect, stability, bifurcation

Abstract

In this paper, a Sokol-Howell prey-predator model involving strong Allee effect is proposed and analyzed. The existence, uniqueness, and boundedness are studied. All the five possible equilibria have been are obtained and their local stability conditions are established. Using Sotomayor's theorem, the conditions of local saddle-node and transcritical and pitchfork bifurcation are derived and drawn. Numerical simulations are performed to clarify the analytical results