Order and chaos in a food web consisting of a predator and two independent preys

A food web consisting of two independent preys and a predator is modeled incorporating modified Holling type-II functional response. The mathematical model has a unique and bounded solution. The necessary and sufficient conditions for persistence of the food web are obtained. Bifurcation diagram has been obtained for selected range of different parameters. The system exhibits chaos for a range of parametric values when long time behavior is studied. The computation of Lyapunov exponents and the existence of strange attractor also indicate the chaotic behavior of the system.