Colonization and Collapse

Fábio Prates Machado, Alejandro Roldán-Correa, Rinaldo B. Schinazi

Published 2015-10-09Version 1

Many species live in colonies that thrive for a while and then collapse. Upon collapse very few individuals survive. The survivors start new colonies at other sites that thrive until they collapse, and so on. We introduce a spatial stochastic process on graphs for modeling such population dynamic. We obtain conditions for the population to get extinct or to survive.