72 citations · 146 across the 21 of their papers we have counts for
24 papers · 1 filter
Does genetic diversity help survival?
Luiz Renato Fontes, Fabio P. Machado, Rinaldo B. Schinazi
We introduce the following model for the evolution of a population. At every discrete time exactly one individual is introduced in the population and is assigned a death…
Extinction time in growth models subject to binomial catastrophes
F. Duque, V. V. Junior, F. P. Machado +1
Populations are often subject to catastrophes that cause mass removal of individuals. Many stochastic growth models have been considered to explain such dynamics. Among the results…
Null recurrence and transience for a binomial catastrophe model in random environment
Luiz Renato Fontes, Fabio P. Machado, Rinaldo B. Schinazi
We consider a discrete time population model for which each individual alive at time survives independently of everybody else at time with probability . The sequence…
The coverage ratio of the frog model on complete graphs
Gustavo O. de Carvalho, Fábio P. Machado
The frog model is a system of interacting random walks. Initially, there is one particle at each vertex of a connected graph . All particles are inactive at time zero,…
Evaluating dispersion strategies in growth models subject to geometric catastrophes
Valdivino Vargas Junior, Fábio Prates Machado, Alejandro Roldan-Correa
We consider stochastic growth models to represent population dynamics subject to geometric catastrophes. We analyze different dispersion schemes after catastrophes, to study how th…
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…