Mutualisim between two species and a mortal predator with holling type-II response function

Abstract

We analyze the dynamics of a general model of three-species mutualistic interaction among two species and a mortal predator, which consumes the first mutual species in terms of Holling type-II functional response manner. Local stability around the existing equilibrium points is investigated by using perturbed method. Sufficient conditions for the global stability are obtained by means of employing Lyapunov’s method around boundary equilibrium points. The population stochasticity around the steady state of co-existence due to white noise is also computed. Finally, the numerical illustrations are carried out to support the study.