Large and moderate deviation principles for susceptible-infected-removed epidemic in a random environment

DOI10.1007/s11464-021-0958-xzbMath1474.92123OpenAlexW3196098493MaRDI QIDQ2239352

Xiaofeng Xue, Yumeng Shen

Publication date: 3 November 2021

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-021-0958-x

zbMATH Keywords

large deviationrandom environmentmoderate deviationepidemicsusceptible-infected-removed (SIR)

Mathematics Subject Classification ID

Epidemiology (92D30) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

Cites Work

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• The complete convergence theorem holds for contact processes in a random environment on \({\mathbb Z}^d \times {\mathbb Z}^{+}\)
• The contact process on the complete graph with random vertex-dependent infection rates
• Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions
• On general minimax theorems
• Moderate deviations from the hydrodynamic limit of the symmetric exclusion process
• Transformation of local martingales under a change of law
• Strong approximation theorems for density dependent Markov chains
• The method of stochastic exponentials for large deviations
• Large deviations theory for Markov jump models of chemical reaction networks
• Moderate deviations of density-dependent Markov chains
• Law of large numbers for the SIR model with random vertex weights on Erdős-Rényi graph
• Large deviation principle for epidemic models
• Chapter 1 Stochastic Epidemic Models

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