Chaos in a Hybrid Three-Species Food Chain with Beddington-Deangelis Functional Response

In this paper, a hybrid three-species food-chain model with Beddington-DeAngelis functional response has been studied. Local stability of the equilibria described by this model have been proved. By means of computer simulations, the complex dynamics of the model, especially chaos, have been identified. Furthermore, the largest Lyapunov exponen has been used to demonstrate the chaotic dynamics.