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In this paper, we study ecological model with a tritrophic food chain composed of a classical Lotka-Volterra functional response for prey and predator, and a Holling type-III functional response for predator and super- predator. There are two equilibrium points of the system. In the parameter space, there are passages from instability to stability, which are called Hopf bifurcation points. For the first equilibrium point, it is possible to find bifur- cation points analytically and to prove that the system has periodic solutions around these points. Furthermore the dynamical behavior of this models are investigated. The dynamical behavior is found to be very sensitive to parameter values as well as the parameters of the practical life. Computer simulations are carried out to explain the analytical findings.

MATHEMATICAL MODEL OF THREE SPECIES FOOD CHAIN WITH HOLLING TYPE-III FUNCTIONAL RESPONSE