36 citations · 92 across the 9 of their papers we have counts for
11 papers
On quasi-stationary distributions for stochastic rumor models
Iddo Ben-Ari, Elcio Lebensztayn, Lucas Sousa Santos
This paper examines the quasi-stationary behavior of stochastic rumor processes. Using the results by van Doorn and Pollett (2008), we first prove that the continuous-time Maki--Th…
The maximum proportion of spreaders in stochastic rumor models
Elcio Lebensztayn, Pablo M. Rodriguez
We examine a general stochastic rumor model characterized by specific parameters that govern the interaction rates among individuals. Our model includes the \((α, p)\)-probability…
The role of multiple repetitions on the size of a rumor
Alejandra Rada, Cristian F. Coletti, Elcio Lebensztayn +1
We propose a mathematical model to measure how multiple repetitions may influence in the ultimate proportion of the population never hearing a rumor during a given outbreak. The mo…
Laws of large numbers for the frog model on the complete graph
Elcio Lebensztayn, Mario Andres Estrada
The frog model is a stochastic model for the spreading of an epidemic on a graph, in which a dormant particle starts to perform a simple random walk on the graph and to awake other…
A new upper bound for the critical probability of the frog model on homogeneous trees
Elcio Lebensztayn, Jaime Utria
We consider the interacting particle system on the homogeneous tree of degree , known as frog model. In this model, active particles perform independent random walks, awak…
Phase transition for the frog model on biregular trees
Elcio Lebensztayn, Jaime Utria
We study the frog model with death on the biregular tree . Initially, there is a random number of awake and sleeping particles located on the vertices of the…
Random walks systems with finite lifetime on
Elcio Lebensztayn, Fabio Machado, Mauricio Zuluaga
We consider a non-homogeneous random walks system on in which each active particle performs a nearest neighbor random walk and activates all inactive particles it encounters…
A large deviations principle for the Maki-Thompson rumour model
Elcio Lebensztayn
We consider the stochastic model for the propagation of a rumour within a population which was formulated by Maki and Thompson. Sudbury established that, as the population size ten…
A process of rumor scotching on finite populations
Guilherme Ferraz de Arruda, Elcio Lebensztayn, Francisco A. Rodrigues +1
Rumor spreading is a ubiquitous phenomenon in social and technological networks. Traditional models consider that the rumor is propagated by pairwise interactions between spreaders…
On the behaviour of a rumour process with random stifling
Elcio Lebensztayn, Fábio P. Machado, Pablo M. Rodríguez
We propose a realistic generalization of the Maki-Thompson rumour model by assuming that each spreader ceases to propagate the rumour right after being involved in a random number…
Limit theorems for a general stochastic rumour model
Elcio Lebensztayn, Fábio P. Machado, Pablo M. Rodríguez
We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this spe…