19 citations · 30 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
Stochastic rumors on random trees
Valdivino V. Junior, Pablo M. Rodriguez, Adalto Speroto
The Maki-Thompson rumor model is defined by assuming that a population represented by a graph is subdivided into three classes of individuals; namely, ignorants, spreaders and stif…
The Maki-Thompson rumor model on infinite Cayley trees
Valdivino V. Junior, Pablo M. Rodriguez, Adalto Speroto
In this paper we study the Maki-Thompson rumor model on infinite Cayley trees. The basic version of the model is defined by assuming that a population represented by a graph is sub…
Colonization and collapse on Homogeneous Trees
Valdivino V. Junior, Fábio P. Machado, Alejandro Roldán-Correa
We investigate a basic immigration process where colonies grow, during a random time, according to a general counting process until collapse. Upon collapse a random amount of indiv…
The rumor percolation model and its variations
Valdivino V. Junior, Fábio P. Machado, Krishnamurthi Ravishankar
The study of rumor models from a percolation theory point of view has gained a few adepts in the last few years. The persistence of a rumor, which may consistently spread out throu…
The cone percolation on $\bbT_d$
Valdivino V. Junior, Fábio P. Machado, Mauricio Zuluaga
We study a rumour model from a percolation theory and branching process point of view. The existence of a giant component is related to the event where the rumour spreads out troug…
Rumour Processes on N
Valdivino V. Junior, Fabio P. Machado, Mauricio Zuluaga
We study four discrete time stochastic systems on modeling processes of rumour spreading. The involved individuals can either have an active or a passive role, speaking up o…