Abstract
In recent years, the complex behaviours of some very simple mathematical models attract much attention in various fields of science and engineering. In this paper the dynamics of a popular discrete time model for two-species competition is discussed. Domains of existence and stability of 2n-cycles are shown in the parameter space of this model, and a condition for coexistence of two species is obtained. Finally, the existence of chaotic behaviour and the structure of so-called “strange attractor” are demonstrated by computer simulation.
