Scramble Versus Contest Competition in a Two Patch System
The population dynamics in two patch discrete-time systems are different if they are modeled by the Logistic and Verhulst equations. First, we analyze one - patch systems modeled with each of the equations. Then we study two patch systems, where the local dynamics between the two patches are coupled with Logistic equations regulated by the scramble competition. We also compare this with the Verhulst equation where the behavior is regulated by contest competition. It is known that fractal basin boundaries of attractors could occur in two-patch systems regulated by the scramble competition. We show that such complex dynamics do not occur in contest competition with dispersion between patches.
Beatriz Salguero-Rivera, Corporación Universitaria Autónoma de Occidente- Cali, Colombia