The Dynamic Complexity of an Apparent Competition Community Ecological Model with the Beddington-DeAngelis Functional Response

In this paper, the dynamic complexity of an apparent competition community model with the Beddington-DeAngelis functional response is studied using Lyapunov exponents and bifurcation diagrams. Furthermore, the equilibrium points of the model are investigated analytically. The system exhibits many complex features, experiencing stable, periodic and chaotic dynamics for various choices of the growth rate and carrying capacity. We find that the superiority coefficient is of particular importance, as it can limit the range of chaotic behavior. Based on these results, we can utilize some critical parameters to control species permanence or coexistence. All these results may be useful for study of the dynamic complexity of ecosystems.