4 papers
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…
Growth Models Under Uniform Catastrophes
Joan Amaya, Valdivino V. Junior, Fábio P. Machado +1
We consider stochastic growth models for populations organized in colonies and subject to uniform catastrophes. To assess population viability, we analyze scenarios in which indivi…
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…
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…