The dynamic complexity of a host–parasitoid model with a lower bound for the host

In this paper, the complex dynamics in a discrete-time model of predator–prey interaction based on a lower bound for the host are presented. Local stability analysis of this model is carried out and many forms of complexities are observed using ecology theories and numerical simulation of the global behavior. Furthermore, the existence of a strange attractor and computation of the largest Lyapunov exponent also demonstrate the chaotic dynamic behavior of the model. The numerical results indicate that computer simulation is a useful method for investigating complex dynamic systems.