1 citations · 1 across the 5 of their papers we have counts for
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Extinction and Survival for a Generalized Contact Process with Deterministic Cures
Nancy L. Garcia, Denis A. Luiz, Daniel M. Machado
We study a generalized contact process on \(\mathbb{Z}^d\) parameterized by an infection rate \(λ\) and a resetting probability \(p \in [0,1]\), modeling deterministic cure times.…
Extinction, Survival and Fluctuations for the Spatial Maki--Thompson Model on Infinite Graphs
Luciano Henrique Lacerda de Araújo, Daniel Miranda Machado, Cristian Favio Coletti +1
We study the spatial Maki--Thompson rumor model on infinite, connected graphs of bounded degree. Spreaders transmit the rumor to ignorant neighbors but become stiflers upon contact…
The Maki-Thompson Model with Spontaneous Stifling on Symmetric Networks
Nancy Lopes Garcia, Denis Araujo Luiz, Daniel Miranda Machado
We investigate rumor spreading in a generalized Maki-Thompson model with spontaneous stifling, evolving on quasi-transitive networks. Individuals are either ignorants, spreaders, o…
The Maki-Thompson model with random awareness
Cristian F. Coletti, Denis A. Luiz, Alejandra Rada
We propose a rumor propagation model in which individuals within a homogeneously mixed population can assume one of infinitely many possible states. To analyze this model, we exten…
A Non-Markovian Approach to a Stochastic Rumor Dynamics with Cognitive Deliberation
Cristian F. Coletti, Denis A. Luiz
We introduce a non-Markovian rumor model on a complete graph of vertices, integrating the classical interactional framework of Daley and Kendall (1964) with modern cognitive in…
Limit theorems for a random walk with memory perturbed by a dynamical system
Cristian F. Coletti, Lucas R. de Lima, Renato J. Gava +1
We introduce a new random walk with unbounded memory obtained as a mixture of the Elephant Random Walk and the Dynamic Random Walk which we call the Dynamic Elephant Random Walk (D…