Showing math.PRShow all
2 papers · 1 filter
math.PR2024
Uniform dispersion in growth models on homogeneous trees
Valdivino V. Junior, Fábio P. Machado, Alejandro Roldán-Correa
We consider the dynamics of a population spatially structured in colonies that are vulnerable to catastrophic events occurring at random times, which randomly reduce their populati…
math.PR2016
Colonization and collapse on Homogeneous Trees
Valdivino V. Junior, Fábio P. Machado, Alejandro Roldán-Correa
We investigate a basic immigration process where colonies grow, during a random time, according to a general counting process until collapse. Upon collapse a random amount of indiv…