The Dynamics of Sokol-Howell Prey-Predator Model Involving Strong Allee Effect
Prey-Predator model
Sokol-Howell functional response
Strong Allee Effect
stability
bifurcation
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