Renewal contact process with dormancy

We consider the contact process with dormancy, where wake-up times follow a renewal process. Without infection between dormant individuals, we show that the process under certain conditions grows at most logarithmically. On the other hand, if infections between dormant individuals are possible, the process survives with positive probability even on finite graphs.

Authors

András Tóbiás (ORCID: https://orcid.org/0000-0003-4881-2553)
Michel Reitmeier
Noemi Kurt (ORCID: https://orcid.org/0000-0003-4515-644X)

Institutions

Goethe University Frankfurt (DE)
HUN-REN Alfréd Rényi Institute of Mathematics (HU)
Budapest University of Technology and Economics (HU)

Publication Details

Journal: Electronic Communications in Probability
Published: 2025-01-01
DOI: https://doi.org/10.1214/25-ecp689
Primary Topic: Stochastic processes and statistical mechanics
Type: article
Field-Weighted Citation Impact: 0.00

Funders

Magyar Tudományos Akadémia
Nemzeti Kutatási, Fejlesztési és Innovaciós Alap

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article

Renewal contact process with dormancy

András Tóbiás, Michel Reitmeier, Noemi Kurt

Jan 1, 2025

Electronic Communications in Probability

Stochastic processes and statistical mechanics

article

Renewal contact process with dormancy

András Tóbiás, Michel Reitmeier, Noemi Kurt

January 1, 2025article en

Abstract

We consider the contact process with dormancy, where wake-up times follow a renewal process. Without infection between dormant individuals, we show that the process under certain conditions grows at most logarithmically. On the other hand, if infections between dormant individuals are possible, the process survives with positive probability even on finite graphs.

Electronic Communications in ProbabilityVol. 30(none)

Goethe University Frankfurt (DE), HUN-REN Alfréd Rényi Institute of Mathematics (HU), Budapest University of Technology and Economics (HU)

Magyar Tudományos Akadémia, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap

Openalex Percentile: Top 84%

Stochastic processes and statistical mechanics

DOI Open Access PDF OpenAlex

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Renewal contact process with dormancy — András Tóbiás, Michel Reitmeier, et al. · Electronic Communications in Probability (2025) | TGRS Research Map | TGRS