Stochastic epidemics in a heterogeneous community (Part III of the book Stochastic Epidemic Models and Inference)

Abstract

This document is the Part III of the book 'Stochastic Epidemic Models with Inference' edited by Tom Britton and Etienne Pardoux. Plan of the chapter: 1) Random Graphs, 2) The Reproduction Number R0, 3) SIR Epidemics on Configuration Model Graphs, 4) Statistical Description of Epidemics Spreading on Networks: The Case of Cuban HIV.

arXiv commentLecture notes of a course given in a CIMPA school in Ziguinchor (Dec. 2015)

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• Stochastic epidemics in a homogeneous community
• Stochastic epidemics in a heterogeneous community (Part III of the book Stochastic Epidemic Models and Inference)
• Statistical inference for epidemic processes in a homogeneous community (Part IV of the book Stochastic Epidemic Models and Inference)
• A probabilistic framework for particle-based reaction-diffusion dynamics using classical Fock space representations
• Incentives, lockdown, and testing: from Thucydides's analysis to the COVID-19 pandemic
• Stochastic approach to epidemic spreading
• Moderate deviations and extinction of an epidemic
• Some distance bounds of branching processes and their diffusion limits
• Dynamics of systems with varying number of particles: from Liouville equations to general master equations for open systems
• Latent event history models for quasi-reaction systems
• A SIR epidemic model on a refining spatial grid II-Central limit theorem