Reoccupation of space in system governed by the transition between steady and absorbing states
We here present 3 systems from completely different domains dominated
by the same basic dynamics: Collapse to an absorbing state accompanied
by reoccupation of space from neighboring points in space. The
properties of these systems is dominated by their spatial parameters,
such as the dimension and the diffusion rate.
We study the competition between two types of yeast over the usage of
complex sugars, where a cheater uses existing resources and does not
contribute to the existence of the population. Another system we study
is the usage of resources in modern economy. Finally, we study complex
structure formation in a catalyst induced proliferation. We show that
these very different systems are dominated by very similar dynamical principle.