3 papers
math.PR2025
A contact process with stronger mutations on trees
Fábio Lopes, Alejandro Roldán-Correa
We consider a spatial stochastic model for a pathogen population growing inside a host that attempts to eliminate the pathogens through its immune system. The pathogen population i…
math.PR2024
A stochastic model for immune response with mutations and evolution: the non-spatial setting
Carolina Grejo, Fabio Lopes, Fábio Machado +1
We consider a stochastic model for a pathogen population in the presence of an immune response, in which pathogen types are partially ordered by ancestry and the immune system must…
math.PR2017
Evolution with mass extinction on
Carolina Grejo, Fabio Lopes, Fábio Machado +1
We propose a stochastic model for evolution through mutation and natural selection of a population that evolves on a $\bbT_d^+$ tree. We think of this model as a way of describing…