3 papers
math.PR2026
Improved Survival Results for the One-Dimensional Renewal Contact Process
Gustavo O. de Carvalho, Lucas R. de Lima
The renewal contact process is a non-Markovian variant of the classical contact process in which recoveries are governed by independent renewal processes with interarrival distribu…
math.PR2026
Catastrophe-dispersion models in random and varying environments across generations
Lucas R. de Lima, Fábio P. Machado
We study a class of branching processes in which the offspring distribution is not specified directly but is induced by a cycle of internal colony growth, catastrophic reduction an…
math.PR2025
Coexistence of Species in a Competition Model on Random Geometric Graphs
Cristian F. Coletti, Lucas R. de Lima
This paper investigates the coexistence of two competing species on random geometric graphs (RGGs) in continuous time. The species grow by occupying vacant sites according to Richa…