Collective Dynamics and Homeostatic Emergence in Complex Adaptive Ecosystem

We investigate the behaviour of the daisyworld model on an adaptive network, comparing it to previous studies on a fixed topology grid, and a fixed small-world (Newman-Watts (NW)) network. The adaptive networks eventually generate topologies with small-world effect behaving similarly to the NW model – and radically different from the grid world. Under the same parameter settings, static but complex patterns emerge in the grid world. In the NW model, we see the emergence of completely coherent periodic dominance. In the adaptive-topology world, the systems may transit through varied behaviours, but can self-organise to a small-world network structure with similar cyclic behaviour to the NW model.