Rich dynamics of a food chain model with Hassell–Varley type functional responses

Complex dynamics of a tritrophic food chain model with Hassell–Varley functional responses is discussed in this paper. Dynamical behaviours such as boundedness, stability and bifurcation of the model are studied. The effect of discrete time-delay on the model is investigated. Various solutions are found using computer simulations. It is discussed how these ideas illuminate some of the observed properties of real populations in the field and explores practical implications.