Migration–contagion processes

DOI10.1017/APR.2023.17arXiv2208.03512MaRDI QIDQ6119931

François Baccelli, Sergeĭ Georgievich Foss, Vsevolod Shneer

Publication date: 20 February 2024

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.03512

zbMATH Keywords

survivalwave equationthermodynamic limitphase transitionextinctionpoint processpartial differential equationsstochastic networkMarkov jump processesqueueing theorycouplingmean-field limitnonlinear Markov processesstationary regimerate conservation principlemigration processPoisson hypothesisjoint generating functionpropagation of epidemicssusceptible-infected-susceptible dynamics

Mathematics Subject Classification ID

Epidemiology (92D30) Queueing theory (aspects of probability theory) (60K25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Unnamed Item
• Unnamed Item
• Novel moment closure approximations in stochastic epidemics
• The time to extinction for a stochastic SIS-household-epidemic model
• The contact process on trees
• The correlation structure of epidemic models
• A computational framework for evaluating the role of mobility on the propagation of epidemics on point processes
• The end time of SIS epidemics driven by random walks on edge-transitive graphs
• Percolation by cumulative merging and phase transition for the contact process on random graphs
• Networks
• Super-Exponential Extinction Time of the Contact Process on Random Geometric Graphs
• Infection Spread in Random Geometric Graphs

This page was built for publication: Migration–contagion processes