Dynamics and Simulations of Multi-species Competition-Predator System with Impulsive

摘要

We investigate the dynamics of a class of multi-species competition predator interaction models with Beddington-DeAngelis functional response. Sufficient conditions for existence of a positive periodic solution are given and sufficient criteria are established for the global stability and the globally exponential stability of the system by using the comparison principle and the Lyapunov method. In addition, some numerical simulation shows that our models can occur in many forms of complexities including periodic oscillation and strange chaotic strange attractor.