Branching Processes And Models Of Epidemics

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Branching Processes And Models Of Epidemics

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Author : Robert Bartoszyński
language : en
Publisher:
Release Date : 1969

Branching Processes And Models Of Epidemics written by Robert Bartoszyński and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Biomathematics categories.

Stochastic Population And Epidemic Models

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Author : Linda J. S. Allen
language : en
Publisher: Springer
Release Date : 2015-08-20

Stochastic Population And Epidemic Models written by Linda J. S. Allen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-20 with Mathematics categories.

This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first chapter develops the branching process theory, while in the second chapter two applications to population and epidemic processes of single-type branching process theory are explored. The last two chapters present multi-type branching process applications to epidemic models, and then continuous-time and continuous-state branching processes with applications. In addition, several MATLAB programs for simulating stochastic sample paths are provided in an Appendix. These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA. Professor Linda Allen is a Paul Whitfield Horn Professor of Mathematics in the Department of Mathematics and Statistics at Texas Tech University, USA.

Epidemic Models

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Author : Denis Mollison
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-13

Epidemic Models written by Denis Mollison and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-13 with Mathematics categories.

Surveys the state of epidemic modelling, resulting from the NATO Advanced Workshop at the Newton Institute in 1993.

A Branching Process Model For The Spread Of Epidemics

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Author : Riitta-Liisa Lindström
language : en
Publisher:
Release Date : 1976

A Branching Process Model For The Spread Of Epidemics written by Riitta-Liisa Lindström and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.

Statistical Modeling Of Epidemic Disease Propagation Via Branching Processes And Bayesian Inference

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Author : George P. Yanev
language : en
Publisher:
Release Date : 2001

Statistical Modeling Of Epidemic Disease Propagation Via Branching Processes And Bayesian Inference written by George P. Yanev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Bayesian statistical decision theory categories.

Epidemic Modelling

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Author : Daryl J. Daley
language : en
Publisher: Cambridge University Press
Release Date : 1999

Epidemic Modelling written by Daryl J. Daley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Epidemics categories.

This is a general introduction to the mathematical techniques needed to understand epidemiology. It begins with an historical outline of some disease statistics, before describing simple deterministic and stochastic models.

Workshop On Branching Processes And Their Applications

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Author : Miguel González
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-02

Workshop On Branching Processes And Their Applications written by Miguel González and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-02 with Mathematics categories.

One of the charms of mathematics is the contrast between its generality and its applicability to concrete, even everyday, problems. Branching processes are typical in this. Their niche of mathematics is the abstract pattern of reproduction, sets of individuals changing size and composition through their members reproducing; in other words, what Plato might have called the pure idea behind demography, population biology, cell kinetics, molecular replication, or nuclear ?ssion, had he known these scienti?c ?elds. Even in the performance of algorithms for sorting and classi?cation there is an inkling of the same pattern. In special cases, general properties of the abstract ideal then interact with the physical or biological or whatever properties at hand. But the population, or bran- ing, pattern is strong; it tends to dominate, and here lies the reason for the extreme usefulness of branching processes in diverse applications. Branching is a clean and beautiful mathematical pattern, with an intellectually challenging intrinsic structure, and it pervades the phenomena it underlies.

Stochastic Epidemic Models With Inference

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Author : Tom Britton
language : en
Publisher: Springer Nature
Release Date : 2019-11-30

Stochastic Epidemic Models With Inference written by Tom Britton and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-30 with Mathematics categories.

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 Larédo). 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.

Some Branching Process Epidemic Models For A Community Consisting Of Several Interacting Subpopulations

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Author : Riitta-Liisa Lindström
language : en
Publisher:
Release Date : 1977

Some Branching Process Epidemic Models For A Community Consisting Of Several Interacting Subpopulations written by Riitta-Liisa Lindström and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Branching processes categories.

Mathematical Epidemiology

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Author : Fred Brauer
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-30

Mathematical Epidemiology written by Fred Brauer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-30 with Medical categories.

Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).