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math.PR2026
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.…
math.PR2025
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…