Stochastic Processes In Epidemiology

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Stochastic Processes in Epidemiology

Author : Charles J. Mode
Publisher : World Scientific
ISBN 13 : 981024097X
Total Pages : 765 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Stochastic Processes in Epidemiology by : Charles J. Mode

Download or read book Stochastic Processes in Epidemiology written by Charles J. Mode and published by World Scientific. This book was released on 2000 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: AIDS (autoimmune deficiency syndrome) is a devastating human disease cause by HIV, a human immunodeficiency virus, which may be transmitted by either sexual or other contacts in which body fluids are exchanged. Cases of AIDS have been reported in a majority of countries throughout the world, indicating that the HIV/AIDS epidemic is international in scope. This book deals with the mathematical and statistical techniques underlying the models used to understand the population dynamics of not only HIV/AIDS but also other infectious diseases. Attention is given to the development strategies for the prevention and control of the international epidemic within the frameworks of the models. Two distinguishing features of the book are the incorporation of stochastic and deterministic formulations within a unifying conceptual framework and the discussion of issues related to the mathematical designs of models, which are necessary for the rigorous utilization of computer-intensive methods. The book will be of value to applied mathematicians, biomathematicians, biostatisticians, epidemiologists and other scientists interested in applying mathematics and computers to not only the HIV/AIDS epidemic but also other fields of epidemiology.

Stochastic Modeling of AIDS Epidemiology and HIV Pathogenesis

Author : W. Y. Tan
Publisher : World Scientific
ISBN 13 : 9789810241223
Total Pages : 458 pages
Book Rating : 4.2/5 (412 download)

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Book Synopsis Stochastic Modeling of AIDS Epidemiology and HIV Pathogenesis by : W. Y. Tan

Download or read book Stochastic Modeling of AIDS Epidemiology and HIV Pathogenesis written by W. Y. Tan and published by World Scientific. This book was released on 2000 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses systematically treatment on the development of stochastic, statistical and state space models of the HIV epidemic and of HIV pathogenesis in HIV-infected individuals, and presents the applications of these models. The book is unique in several ways: (1) it uses stochastic difference and differential equations to present the stochastic models of the HIV epidemic and HIV pathogenesis; in this sense, the deterministic models are considered as special cases when the numbers of different type of people or cells are very large (2) it provides, a critical analysis of deterministic and statistical models in the literature; (3) it develops state space models by combining stochastic models and statistical models; and (4) it provides a detailed discussion on the pros and cons of the different modeling approaches. This book is the first to introduce state space models for the HIV epidemic. It is also the first to develop stochastic models and state space models for the HIV pathogenesis in HIV-infected individuals.

Mathematical Epidemiology

Author : Fred Brauer
Publisher : Springer Science & Business Media
ISBN 13 : 3540789103
Total Pages : 415 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Mathematical Epidemiology by : Fred Brauer

Download or read book Mathematical Epidemiology written by Fred Brauer and published by Springer Science & Business Media. This book was released on 2008-04-30 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Stochastic Epidemic Models with Inference

Author : Tom Britton
Publisher : Springer Nature
ISBN 13 : 3030309002
Total Pages : 477 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Stochastic Epidemic Models with Inference by : Tom Britton

Download or read book Stochastic Epidemic Models with Inference written by Tom Britton and published by Springer Nature. This book was released on 2019-11-30 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Population and Epidemic Models

Author : Linda J. S. Allen
Publisher : Springer
ISBN 13 : 331921554X
Total Pages : 55 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Stochastic Population and Epidemic Models by : Linda J. S. Allen

Download or read book Stochastic Population and Epidemic Models written by Linda J. S. Allen and published by Springer. This book was released on 2015-08-20 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Stochastic Processes with Applications to Biology

Author : Linda J. S. Allen
Publisher : CRC Press
ISBN 13 : 143989468X
Total Pages : 486 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis An Introduction to Stochastic Processes with Applications to Biology by : Linda J. S. Allen

Download or read book An Introduction to Stochastic Processes with Applications to Biology written by Linda J. S. Allen and published by CRC Press. This book was released on 2010-12-02 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Processes with Applications to Biology, Second Edition presents the basic theory of stochastic processes necessary in understanding and applying stochastic methods to biological problems in areas such as population growth and extinction, drug kinetics, two-species competition and predation, the spread of epidemics, and

An Introduction to Stochastic Modeling

Author : Howard M. Taylor
Publisher : Academic Press
ISBN 13 : 1483269272
Total Pages : 410 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis An Introduction to Stochastic Modeling by : Howard M. Taylor

Download or read book An Introduction to Stochastic Modeling written by Howard M. Taylor and published by Academic Press. This book was released on 2014-05-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Stochastic Epidemic Models and Their Statistical Analysis

Author : Hakan Andersson
Publisher : Springer Science & Business Media
ISBN 13 : 1461211581
Total Pages : 140 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Epidemic Models and Their Statistical Analysis by : Hakan Andersson

Download or read book Stochastic Epidemic Models and Their Statistical Analysis written by Hakan Andersson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present lecture notes describe stochastic epidemic models and methods for their statistical analysis. Our aim is to present ideas for such models, and methods for their analysis; along the way we make practical use of several probabilistic and statistical techniques. This will be done without focusing on any specific disease, and instead rigorously analyzing rather simple models. The reader of these lecture notes could thus have a two-fold purpose in mind: to learn about epidemic models and their statistical analysis, and/or to learn and apply techniques in probability and statistics. The lecture notes require an early graduate level knowledge of probability and They introduce several techniques which might be new to students, but our statistics. intention is to present these keeping the technical level at a minlmum. Techniques that are explained and applied in the lecture notes are, for example: coupling, diffusion approximation, random graphs, likelihood theory for counting processes, martingales, the EM-algorithm and MCMC methods. The aim is to introduce and apply these techniques, thus hopefully motivating their further theoretical treatment. A few sections, mainly in Chapter 5, assume some knowledge of weak convergence; we hope that readers not familiar with this theory can understand the these parts at a heuristic level. The text is divided into two distinct but related parts: modelling and estimation.

Probability, Statistics, and Stochastic Processes

Author : Peter Olofsson
Publisher : John Wiley & Sons
ISBN 13 : 0470889748
Total Pages : 573 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Probability, Statistics, and Stochastic Processes by : Peter Olofsson

Download or read book Probability, Statistics, and Stochastic Processes written by Peter Olofsson and published by John Wiley & Sons. This book was released on 2012-05-22 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . an excellent textbook . . . well organized and neatly written." —Mathematical Reviews ". . . amazingly interesting . . ." —Technometrics Thoroughly updated to showcase the interrelationships between probability, statistics, and stochastic processes, Probability, Statistics, and Stochastic Processes, Second Edition prepares readers to collect, analyze, and characterize data in their chosen fields. Beginning with three chapters that develop probability theory and introduce the axioms of probability, random variables, and joint distributions, the book goes on to present limit theorems and simulation. The authors combine a rigorous, calculus-based development of theory with an intuitive approach that appeals to readers' sense of reason and logic. Including more than 400 examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including: Consistency of point estimators Large sample theory Bootstrap simulation Multiple hypothesis testing Fisher's exact test and Kolmogorov-Smirnov test Martingales, renewal processes, and Brownian motion One-way analysis of variance and the general linear model Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes, Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level. The book is also an ideal resource for scientists and engineers in the fields of statistics, mathematics, industrial management, and engineering.

Markov Processes for Stochastic Modeling

Author : Oliver Ibe
Publisher : Newnes
ISBN 13 : 0124078397
Total Pages : 515 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Markov Processes for Stochastic Modeling by : Oliver Ibe

Download or read book Markov Processes for Stochastic Modeling written by Oliver Ibe and published by Newnes. This book was released on 2013-05-22 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov processes are processes that have limited memory. In particular, their dependence on the past is only through the previous state. They are used to model the behavior of many systems including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. Covering a wide range of areas of application of Markov processes, this second edition is revised to highlight the most important aspects as well as the most recent trends and applications of Markov processes. The author spent over 16 years in the industry before returning to academia, and he has applied many of the principles covered in this book in multiple research projects. Therefore, this is an applications-oriented book that also includes enough theory to provide a solid ground in the subject for the reader. - Presents both the theory and applications of the different aspects of Markov processes - Includes numerous solved examples as well as detailed diagrams that make it easier to understand the principle being presented - Discusses different applications of hidden Markov models, such as DNA sequence analysis and speech analysis.

Statistical Analysis of Stochastic Processes in Time

Author : J. K. Lindsey
Publisher : Cambridge University Press
ISBN 13 : 9781139454513
Total Pages : 356 pages
Book Rating : 4.4/5 (545 download)

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Book Synopsis Statistical Analysis of Stochastic Processes in Time by : J. K. Lindsey

Download or read book Statistical Analysis of Stochastic Processes in Time written by J. K. Lindsey and published by Cambridge University Press. This book was released on 2004-08-02 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was first published in 2004. Many observed phenomena, from the changing health of a patient to values on the stock market, are characterised by quantities that vary over time: stochastic processes are designed to study them. This book introduces practical methods of applying stochastic processes to an audience knowledgeable only in basic statistics. It covers almost all aspects of the subject and presents the theory in an easily accessible form that is highlighted by application to many examples. These examples arise from dozens of areas, from sociology through medicine to engineering. Complementing these are exercise sets making the book suited for introductory courses in stochastic processes. Software (available from www.cambridge.org) is provided for the freely available R system for the reader to apply to all the models presented.

Mathematical Modeling in Epidemiology

Author : James C. Frauenthal
Publisher : Springer Science & Business Media
ISBN 13 : 3642677959
Total Pages : 128 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Mathematical Modeling in Epidemiology by : James C. Frauenthal

Download or read book Mathematical Modeling in Epidemiology written by James C. Frauenthal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text of this book is derived from courses taught by the author in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook. The audience for these courses was composed almost entirely of fourth year undergraduate students majoring in the mathematical sciences. The students had ordinarily completed four semesters of calculus and one of probability. Few had any prior experience with differential equations, stochastic processes, or epidemiology. It also seems prudent to mention that the author's background is in engineering and applied mathematics and not in epidemiology; it is hoped that this is not painfully obvious. The topics covered in this book have in some cases been modified from the way they were originally presented. However, care has been taken to include a suitable amount of material for a one semester course; the temptation to add gratuitous subject matter has been resisted. Similarly, when a choice between clarity and rigor was available, the more easily understood exposition was selected. By looking only at the table of contents, the casual reader could be easily misled into thinking that the main concern of this book is with epidemiology. This is not the case. The purpose of this book is to illustrate the process of formulating and solving mathematical models.

Mathematical Tools for Understanding Infectious Disease Dynamics

Author : Odo Diekmann
Publisher : Princeton University Press
ISBN 13 : 1400845629
Total Pages : 517 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematical Tools for Understanding Infectious Disease Dynamics by : Odo Diekmann

Download or read book Mathematical Tools for Understanding Infectious Disease Dynamics written by Odo Diekmann and published by Princeton University Press. This book was released on 2012-11-18 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling is critical to our understanding of how infectious diseases spread at the individual and population levels. This book gives readers the necessary skills to correctly formulate and analyze mathematical models in infectious disease epidemiology, and is the first treatment of the subject to integrate deterministic and stochastic models and methods. Mathematical Tools for Understanding Infectious Disease Dynamics fully explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology. This comprehensive and accessible book also features numerous detailed exercises throughout; full elaborations to all exercises are provided. Covers the latest research in mathematical modeling of infectious disease epidemiology Integrates deterministic and stochastic approaches Teaches skills in model construction, analysis, inference, and interpretation Features numerous exercises and their detailed elaborations Motivated by real-world applications throughout

Stochastic Processes in Epidemiology

Author : Charles J. Mode
Publisher : World Scientific
ISBN 13 : 9812779256
Total Pages : 765 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Stochastic Processes in Epidemiology by : Charles J. Mode

Download or read book Stochastic Processes in Epidemiology written by Charles J. Mode and published by World Scientific. This book was released on 2000 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text deals with the mathematical and statistical techniques underlying the models used to understand the population dynamics of not only HIV/AIDS, but also of other infectious diseases. Attention is given to the development of strategies for the prevention and control of the international epidemic within the frameworks of the models. The text incorporates stochastic and deterministic formulations within a unifying conceptual framework.

Modern Trends in Controlled Stochastic Processes

Author : Alexey B. Piunovskiy
Publisher : Luniver Press
ISBN 13 : 1905986300
Total Pages : 342 pages
Book Rating : 4.9/5 (59 download)

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Book Synopsis Modern Trends in Controlled Stochastic Processes by : Alexey B. Piunovskiy

Download or read book Modern Trends in Controlled Stochastic Processes written by Alexey B. Piunovskiy and published by Luniver Press. This book was released on 2010-09 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: World leading experts give their accounts of the modern mathematical models in the field: Markov Decision Processes, controlled diffusions, piece-wise deterministic processes etc, with a wide range of performance functionals. One of the aims is to give a general view on the state-of-the-art. The authors use Dynamic Programming, Convex Analytic Approach, several numerical methods, index-based approach and so on. Most chapters either contain well developed examples, or are entirely devoted to the application of the mathematical control theory to real life problems from such fields as Insurance, Portfolio Optimization and Information Transmission. The book will enable researchers, academics and research students to get a sense of novel results, concepts, models, methods, and applications of controlled stochastic processes.

Mathematical and Statistical Estimation Approaches in Epidemiology

Author : Gerardo Chowell
Publisher : Springer Science & Business Media
ISBN 13 : 9048123135
Total Pages : 367 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Mathematical and Statistical Estimation Approaches in Epidemiology by : Gerardo Chowell

Download or read book Mathematical and Statistical Estimation Approaches in Epidemiology written by Gerardo Chowell and published by Springer Science & Business Media. This book was released on 2009-06-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and Statistical Estimation Approaches in Epidemiology compiles t- oretical and practical contributions of experts in the analysis of infectious disease epidemics in a single volume. Recent collections have focused in the analyses and simulation of deterministic and stochastic models whose aim is to identify and rank epidemiological and social mechanisms responsible for disease transmission. The contributions in this volume focus on the connections between models and disease data with emphasis on the application of mathematical and statistical approaches that quantify model and data uncertainty. The book is aimed at public health experts, applied mathematicians and sci- tists in the life and social sciences, particularly graduate or advanced undergraduate students, who are interested not only in building and connecting models to data but also in applying and developing methods that quantify uncertainty in the context of infectious diseases. Chowell and Brauer open this volume with an overview of the classical disease transmission models of Kermack-McKendrick including extensions that account for increased levels of epidemiological heterogeneity. Their theoretical tour is followed by the introduction of a simple methodology for the estimation of, the basic reproduction number,R . The use of this methodology 0 is illustrated, using regional data for 1918–1919 and 1968 in uenza pandemics.

Introduction to Stochastic Processes with R

Author : Robert P. Dobrow
Publisher : John Wiley & Sons
ISBN 13 : 1118740653
Total Pages : 504 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Introduction to Stochastic Processes with R by : Robert P. Dobrow

Download or read book Introduction to Stochastic Processes with R written by Robert P. Dobrow and published by John Wiley & Sons. This book was released on 2016-03-07 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to stochastic processes through the use of R Introduction to Stochastic Processes with R is an accessible and well-balanced presentation of the theory of stochastic processes, with an emphasis on real-world applications of probability theory in the natural and social sciences. The use of simulation, by means of the popular statistical software R, makes theoretical results come alive with practical, hands-on demonstrations. Written by a highly-qualified expert in the field, the author presents numerous examples from a wide array of disciplines, which are used to illustrate concepts and highlight computational and theoretical results. Developing readers’ problem-solving skills and mathematical maturity, Introduction to Stochastic Processes with R features: More than 200 examples and 600 end-of-chapter exercises A tutorial for getting started with R, and appendices that contain review material in probability and matrix algebra Discussions of many timely and stimulating topics including Markov chain Monte Carlo, random walk on graphs, card shuffling, Black–Scholes options pricing, applications in biology and genetics, cryptography, martingales, and stochastic calculus Introductions to mathematics as needed in order to suit readers at many mathematical levels A companion web site that includes relevant data files as well as all R code and scripts used throughout the book Introduction to Stochastic Processes with R is an ideal textbook for an introductory course in stochastic processes. The book is aimed at undergraduate and beginning graduate-level students in the science, technology, engineering, and mathematics disciplines. The book is also an excellent reference for applied mathematicians and statisticians who are interested in a review of the topic.