Abstract: |
In this article, we have first implemented El Hamidi, Garbey and Ali’s nonlinear diffusion model of the competition of plants on the Netlogo platform. In parallel with this partial differential equation (PDE) model, an agent based diffusion model has been implemented to compare the structures of the two approaches. The multi-agent system (MAS) models how each individual grows up (West et al., 2001) and is spatially diffused thanks to reproduction. Furthermore, El Hamidi’s nonlinear diffusion model has been extended to the case of n species in a system of inter-species plant competition. We have also studied how the inter/intraspecific competition parameters impact the space distribution by computing the surface ratios between species. Besides, terms representing resources have been added to measure the effects of environmental parameters. Finally, we propose a comparison between PDE and MAS approaches by identifying parameters of both models that correspond to each other. |