Home / Scramble Versus Contest Competition in a Two Patch System

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.

Article Number:
BU-1515-M

Year:
1999

Authors:
Beatriz Salguero-Rivera, Corporación Universitaria Autónoma de Occidente- Cali, Colombia

scramble_versus_contest_competition_in_a_two_patch_system.pdf