Effects of dispersal speed and strong Allee effect on stability of a two-patch predator–prey model

This paper presents a population-dispersal dynamics for predator–prey interactions in a two patch environment with a strong Allee effect in prey population growth in patch one. It is considered that both prey species are movable and their dispersal between patches is directed to the higher fitness patch. Existence of non trivial equilibrium and stability of the system at this equilibrium point is studied in the presence and absence of dispersal speed. It is observed that the system without dispersal is unstable for certain condition and the system with dispersal is always persists. Rigorous numerical simulations are carried out using MATLAB, for a hypothetical set of parameter values to support our analytical findings. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.