Renewal contact process with dormancy

2024/10/28 by Noemi Kurt, Kurt, Noemi, Michel Reitmeier +3
Mathematics · Physics and Astronomy · Business, Management and Accounting · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Advanced Queuing Theory Analysis

paper · pdf · doi:10.48550/arxiv.2410.20863

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.

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