Complex dynamic behavior in a food web consisting of two preys and a predator

This paper deals with the dynamic behavior of a realistic two preys and one predator system. The predator dynamics is governed by modified Leslie Gower model. The local and global stability analysis has been carried out. Conditions for stability of planar equilibrium points and positive equilibrium points have been obtained. Numerical simulations are carried out for biologically feasible choices of parameters to display the existence of non-chaotic and quasi-periodic solution of non-linear system.