5 papers
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…
The GMS model with threshold extinction
Carolina Grejo, Luiz Renato Fontes, Fábio Sternieri Marque
We propose a variation of the GMS model of evolution of species. In this version, as in the GMS model, at each birth, the new species in the system is labeled with a random fitness…
Asymptotic behavior for a modified Maki-Thompson model with directed inter-group interactions
Carolina Grejo, Pablo M. Rodriguez
In this work we propose a new extension for the Maki-Thompson rumor model which incorporates inter-group directed contacts. The model is defined on an homogeneously mixing populati…
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…
The fitness of the strongest individual in the subcritical GMS model
Carolina Grejo, Fábio P. Machado, Alejandro Roldán-Correa
We derive the strongest individual fitness distribution on a variation for a species survival model proposed by Guiol, Machado and Schinazi \cite{GMS11}. We point out to the fact t…