The present study proposes and explores a food chain model to study about the dynamical behavior of two preys and a predator ecosystem where the preys having competitive interaction among themselves. A Holling type-II functional response has been adopted for first prey and a predator of the proposed model. The boundedness, stability, existence condition of equilibrium of the model is investigated both from analytical and numerical point of view. Hopf bifurcation analysis is also discussed at the positive equilibrium point and a global property of dynamical system is one of the parts of the study. Here, the presented work also utilized to calculate the instability of the population throughout the co-existence’s state of steady because of the white noise. At last, the study is hold up by performing the numerical illustrations.

Holling type-II response function; Two Preys –Predator;Local stability;Numerical Simulations; Global stability.