Open AccessThe Dynamics of Sokol-Howell Prey-Predator Model Involving Strong Allee Effect
Author(s) -
Saad Al-Momen,
Raid Kamel Naji
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.9.27
Subject(s) - allee effect , uniqueness , mathematics , predation , statistical physics , stability (learning theory) , bifurcation , mathematical economics , predator , comparison theorem , mathematical analysis , physics , nonlinear system , ecology , computer science , population , demography , biology , sociology , quantum mechanics , machine learning
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