Order and chaos in predator to prey ratio-dependent food chain

In this article, we investigate the dynamical behavior and chaos of a realistic three species food chain model considering predator to prey ratio-dependence for the interaction together with type II functional response. The model, for biologically reasonable parameter values, exhibits stable, periodic and chaotic dynamics in long-time behavior. The bifurcation diagrams have been obtained; Lyapunov exponents and dimensions have been computed. The model shows the rich dynamics in the positive octant. The dynamics behavior is found to be very sensitive to parameter values and initial data.