Epidemic Modelling

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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.

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.

Epidemic Modelling Some Notes Maths And Code

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Author : Simon Dobson
language : en
Publisher:
Release Date : 2020-07-22

Epidemic Modelling Some Notes Maths And Code written by Simon Dobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-22 with Computers categories.

Science is based on models that we construct to help us to better understand the world. This is especially true for epidemic diseases, where we want to know the effects of different sorts of transmission, different control strategies, and so forth. But what is a model of disease? How are they built, and what questions can we ask of them? This book tries to explain network-based epidemic modelling through a unique combination of accessible text, introductory mathematics, and all the Python code needed to perform computational experiments that explore different disease models and countermeasures. Written at the height of the 2020 covid-19 pandemic, the book aims to demystify the science that underlies many of the policy responses we can make to disease outbreaks, and make the necessary experimental and analytical tools more accessible to anyone with an interest in science.

Epidemic Modelling

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Author : D. J. Daley
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-28

Epidemic Modelling written by D. 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 2001-05-28 with Mathematics categories.

This general introduction to the mathematical techniques needed to understand epidemiology begins with an historical outline of some disease statistics dating from Daniel Bernoulli's smallpox data of 1760. The authors then go on to describe simple deterministic and stochastic models in continuous and discrete time for epidemics taking place in either homogeneous or stratified (nonhomogeneous) populations. They offer a range of methods for constructing and analyzing models, mostly in the context of viral and bacterial diseases of human populations. These models are contrasted with models for rumors and macro-parasitic diseases. Questions of fitting data to models, and the use of models to understand methods for controlling the spread of infection, are discussed. Exercises and complementary results at the end of each chapter extend the scope of the text.

Interdisciplinary Public Health Reasoning And Epidemic Modelling The Case Of Black Death

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Author : George Christakos
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-24

Interdisciplinary Public Health Reasoning And Epidemic Modelling The Case Of Black Death written by George Christakos 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 2006-09-24 with Science categories.

This multidisciplinary reference takes the reader through all four major phases of interdisciplinary inquiry: adequate conceptualization, rigorous formulation, substantive interpretation, and innovative implementation. The text introduces a novel synthetic paradigm of public health reasoning and epidemic modelling, and implements it with a study of the infamous 14th century AD Black Death disaster that killed at least one-fourth of the European population.

Dynamical Modeling And Analysis Of Epidemics

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Author : Zhien Ma
language : en
Publisher: World Scientific
Release Date : 2009

Dynamical Modeling And Analysis Of Epidemics written by Zhien Ma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples.

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.

Mathematical Modelling And Nonstandard Schemes For The Corona Virus Pandemic

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Author : Sarah Marie Treibert
language : en
Publisher: Springer Nature
Release Date : 2021-12-11

Mathematical Modelling And Nonstandard Schemes For The Corona Virus Pandemic written by Sarah Marie Treibert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-11 with Mathematics categories.

This book deals with the prediction of possible future scenarios concerning the COVID-19 pandemic. Based on the well-known SIR model by Kermack and McKendrick a compartment model is established. This model comprises its own assumptions, transition rates and transmission dynamics, as well as a corresponding system of ordinary differential equations. Making use of numerical methods and a nonstandard-finite-difference scheme, two submodels are implemented in Matlab in order to make parameter estimations and compare different scenarios with each other.

Age Structured Epidemic Modeling

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Author : Xue-Zhi Li
language : en
Publisher: Springer Nature
Release Date : 2020-05-28

Age Structured Epidemic Modeling written by Xue-Zhi Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-28 with Mathematics categories.

This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.

An Introduction To Mathematical Modeling Of Infectious Diseases

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Author : Michael Y. Li
language : en
Publisher: Springer
Release Date : 2018-01-30

An Introduction To Mathematical Modeling Of Infectious Diseases written by Michael Y. Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-30 with Mathematics categories.

This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.