Abstract
We report some basic results regarding transport in disordered reaction-diffusion systems with birth (), death (), and binary competition () processes. We consider a model in which the growth process is only allowed to take place in certain areas—“oases”—while the rest of space—the “desert”—is hostile to growth. In the limit of low oasis density, transport is mediated through rare “hopping” events, necessitating the inclusion of discreteness effects in the model. By first considering transport between two oases, we are able to derive an approximate expression for the average time taken for a population to traverse a disordered medium.
- Received 19 April 2007
DOI:https://doi.org/10.1103/PhysRevLett.100.058301
©2008 American Physical Society