The contact process with dormancy

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This talk will be broadcast at 13:30 BT / 14:30 CET / 15:30 EET, October 29th, 2025 on MS Teams only.

Meeting ID: 393 527 089 878
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Abstract

The Contact Process with Dormancy (CPD) is an extension of the classical contact process by incorporating a type-switching mechanism, allowing individ- ual particles or sites to alternate independently between two states: active and dormant. The infection and recovery dynamics can differ across these states. We begin by introducing a Markovian framework for this model, where tran- sitions between states are governed by Poisson point processes. Fundamental properties of this model, including the existence of a non-trivial invariant dis- tribution and phase transitions, are discussed to parallel those of the classical contact process. We continue by deriving an asymptotic shape theorem for a broader class of models including the CPD. At the end we leave the Markovian set-up by allowing renewal processes with heavy-tailed inter-arrival distributions to trigger type switches. This variation we call the contact process with renewal dormancy. Inspired by a series of papers about the renewal contact process we can show interesting results like survival on finite graphs and at most logarithmic growth for variants of our model.

About Michel

Michel is currently a third-year PhD student at the University of Frankfurt under the supervision of Noemi Kurt, working on stochastic processes and interacting particle systems. In particular, he studies the effects of dynamical environments on infection models, such as the contact process.