Global stability of prey-predator systems with predatory switching

This paper deals with a complex prey-predator system, consisting of two prey species and two types of predator (dominant and mutant of the same species) with predatory switching. We derived conditions for existing polymorphism with respect to a switching property and found a condition for feasible equilibrium to be globally asymptotically stable. We have shown parameter regions for a stable and an unstable feasible equilibrium.