Predator-prey dynamics with Allee effect on predator species subject to intra-specific competition and nonlinear prey refuge

A modified version of our previously analyzed prey-predator refuge model is presented in this article by introducing Allee effect on the predator species and mutual interference among predators. Possible number coexistence equilibrium points are investigated with help prey nullcline. The local stability Hopf-bifurcation conditions established around equilibria. We have also discussed nature unique point system as well. Finally, a comprehensive numerical simulation carried out to justify obtained analytical findings.