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Stochastic Epidemic Models with Inference Frank Ball

Stochastic Epidemic Models with Inference By Frank Ball

Stochastic Epidemic Models with Inference by Frank Ball

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Summary

Focussing on stochastic models for the spread of infectious diseases in a human population, this book is the outcome of a two-week ICPAM/CIMPA school on Stochastic models of epidemics which took place in Ziguinchor, Senegal, December 5-16, 2015.

Stochastic Epidemic Models with Inference Summary

Stochastic Epidemic Models with Inference by Frank Ball

Focussing on stochastic models for the spread of infectious diseases in a human population, this book is the outcome of a two-week ICPAM/CIMPA school on Stochastic models of epidemics which took place in Ziguinchor, Senegal, December 5-16, 2015. The text is divided into four parts, each based on one of the courses given at the school: homogeneous models (Tom Britton and Etienne Pardoux), two-level mixing models (David Sirl and Frank Ball), epidemics on graphs (Viet Chi Tran), and statistics for epidemic models (Catherine Laredo).

The CIMPA school was aimed at PhD students and Post Docs in the mathematical sciences. Parts (or all) of this book can be used as the basis for traditional or individual reading courses on the topic. For this reason, examples and exercises (some with solutions) are provided throughout.


About Frank Ball

Tom Britton is professor at the Department of Mathematics at Stockholm University. His research focuses on stochastic modelling, and inference procedures, for biological and medical problems, in particular models for the spread of infectious diseases, networks and phylogenetics. He is the author of more than 100 publications, and two monographs about models and analysis of infectious disease spreading.

Etienne Pardoux is professor emeritus at the Institut de Mathematiques de Marseille, within Aix Marseille Univ. His research has covered several topics of stochastic analysis, in particular stochastic partial differential equations, backward stochastic differential equations and homogenization. More recently, he has turned his interests towards evolutionary biology and modeling of infectious diseases. He is the author of more than 160 publications, including four books.

Table of Contents

- Part I Stochastic Epidemics in a Homogeneous Community. - Introduction. - Stochastic Epidemic Models. - Markov Models. - General Closed Models. - Open Markov Models. - Part II Stochastic SIR Epidemics in Structured Populations. - Introduction. - Single Population Epidemics. - The Households Model. - A General Two-Level Mixing Model. - Part III Stochastic Epidemics in a Heterogeneous Community. - Introduction. - Random Graphs. - The Reproduction Number R0. - SIR Epidemics on Configuration Model Graphs. - Statistical Description of Epidemics Spreading on Networks: The Case of Cuban HIV. - Part IV Statistical Inference for Epidemic Processes in a Homogeneous Community. - Introduction. - Observations and Asymptotic Frameworks. - Inference for Markov Chain Epidemic Models. - Inference Based on the Diffusion Approximation of Epidemic Models. - Inference for Continuous Time SIR models.

Additional information

NLS9783030308995
9783030308995
3030308995
Stochastic Epidemic Models with Inference by Frank Ball
Frank Ball
Mathematical Biosciences Subseries
New
Paperback
Springer Nature Switzerland AG
2019-12-01
474
N/A
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