Mathematical Epidemiology Of Infectious Diseases

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Mathematical Epidemiology of Infectious Diseases

O. Diekmann,J. A. P. Heesterbeek
Mathematical Epidemiology of Infectious Diseases Book PDF

Author : O. Diekmann,J. A. P. Heesterbeek
Publisher : John Wiley & Sons
Page : 324 pages
File Size : 43,7 Mb
Release : 2000-04-07
Category : Mathematics
ISBN : 0471492418

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Mathematical Epidemiology of Infectious Diseases by O. Diekmann,J. A. P. Heesterbeek Pdf

Mathematical Epidemiology of Infectious Diseases Model Building, Analysis and Interpretation O. Diekmann University of Utrecht, The Netherlands J. A. P. Heesterbeek Centre for Biometry Wageningen, The Netherlands The mathematical modelling of epidemics in populations is a vast and important area of study. It is about translating biological assumptions into mathematics, about mathematical analysis aided by interpretation and about obtaining insight into epidemic phenomena when translating mathematical results back into population biology. Model assumptions are formulated in terms of, usually stochastic, behaviour of individuals and then the resulting phenomena, at the population level, are unravelled. Conceptual clarity is attained, assumptions are stated clearly, hidden working hypotheses are attained and mechanistic links between different observables are exposed. Features: * Model construction, analysis and interpretation receive detailed attention * Uniquely covers both deterministic and stochastic viewpoints * Examples of applications given throughout * Extensive coverage of the latest research into the mathematical modelling of epidemics of infectious diseases * Provides a solid foundation of modelling skills The reader will learn to translate, model, analyse and interpret, with the help of the numerous exercises. In literally working through this text, the reader acquires modelling skills that are also valuable outside of epidemiology, certainly within population dynamics, but even beyond that. In addition, the reader receives training in mathematical argumentation. The text is aimed at applied mathematicians with an interest in population biology and epidemiology, at theoretical biologists and epidemiologists. Previous exposure to epidemic concepts is not required, as all background information is given. The book is primarily aimed at self-study and ideally suited for small discussion groups, or for use as a course text.

A Historical Introduction to Mathematical Modeling of Infectious Diseases

Ivo M. Foppa
A Historical Introduction to Mathematical Modeling of Infectious Diseases Book PDF

Author : Ivo M. Foppa
Publisher : Academic Press
Page : 214 pages
File Size : 47,5 Mb
Release : 2016-10-18
Category : Mathematics
ISBN : 9780128024997

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A Historical Introduction to Mathematical Modeling of Infectious Diseases by Ivo M. Foppa Pdf

A Historical Introduction to Mathematical Modeling of Infectious Diseases: Seminal Papers in Epidemiology offers step-by-step help on how to navigate the important historical papers on the subject, beginning in the 18th century. The book carefully, and critically, guides the reader through seminal writings that helped revolutionize the field. With pointed questions, prompts, and analysis, this book helps the non-mathematician develop their own perspective, relying purely on a basic knowledge of algebra, calculus, and statistics. By learning from the important moments in the field, from its conception to the 21st century, it enables readers to mature into competent practitioners of epidemiologic modeling. Presents a refreshing and in-depth look at key historical works of mathematical epidemiology Provides all the basic knowledge of mathematics readers need in order to understand the fundamentals of mathematical modeling of infectious diseases Includes questions, prompts, and answers to help apply historical solutions to modern day problems

An Introduction to Mathematical Modeling of Infectious Diseases

Michael Y. Li
An Introduction to Mathematical Modeling of Infectious Diseases Book PDF

Author : Michael Y. Li
Publisher : Springer
Page : 156 pages
File Size : 46,8 Mb
Release : 2018-01-30
Category : Mathematics
ISBN : 9783319721224

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An Introduction to Mathematical Modeling of Infectious Diseases by Michael Y. Li Pdf

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.

Modern Infectious Disease Epidemiology

Alexander Krämer,Mirjam Kretzschmar,Klaus Krickeberg
Modern Infectious Disease Epidemiology Book PDF

Author : Alexander Krämer,Mirjam Kretzschmar,Klaus Krickeberg
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 46,8 Mb
Release : 2010-01-23
Category : Medical
ISBN : 9780387938356

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Modern Infectious Disease Epidemiology by Alexander Krämer,Mirjam Kretzschmar,Klaus Krickeberg Pdf

Hardly a day goes by without news headlines concerning infectious disease threats. Currently the spectre of a pandemic of influenza A|H1N1 is raising its head, and heated debates are taking place about the pro’s and con’s of vaccinating young girls against human papilloma virus. For an evidence-based and responsible communication of infectious disease topics to avoid misunderstandings and overreaction of the public, we need solid scientific knowledge and an understanding of all aspects of infectious diseases and their control. The aim of our book is to present the reader with the general picture and the main ideas of the subject. The book introduces the reader to methodological aspects of epidemiology that are specific for infectious diseases and provides insight into the epidemiology of some classes of infectious diseases characterized by their main modes of transmission. This choice of topics bridges the gap between scientific research on the clinical, biological, mathematical, social and economic aspects of infectious diseases and their applications in public health. The book will help the reader to understand the impact of infectious diseases on modern society and the instruments that policy makers have at their disposal to deal with these challenges. It is written for students of the health sciences, both of curative medicine and public health, and for experts that are active in these and related domains, and it may be of interest for the educated layman since the technical level is kept relatively low.

An Introduction to Mathematical Epidemiology

Maia Martcheva
An Introduction to Mathematical Epidemiology Book PDF

Author : Maia Martcheva
Publisher : Springer
Page : 453 pages
File Size : 44,5 Mb
Release : 2015-10-20
Category : Mathematics
ISBN : 9781489976123

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An Introduction to Mathematical Epidemiology by Maia Martcheva Pdf

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models.

Mathematical Epidemiology

Fred Brauer,Pauline van den Driessche,J. Wu
Mathematical Epidemiology Book PDF

Author : Fred Brauer,Pauline van den Driessche,J. Wu
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 41,7 Mb
Release : 2008-04-30
Category : Medical
ISBN : 9783540789109

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Mathematical Epidemiology by Fred Brauer,Pauline van den Driessche,J. Wu Pdf

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).

Mathematical Tools for Understanding Infectious Disease Dynamics

Odo Diekmann,Hans Heesterbeek,Tom Britton
Mathematical Tools for Understanding Infectious Disease Dynamics Book PDF

Author : Odo Diekmann,Hans Heesterbeek,Tom Britton
Publisher : Princeton University Press
Page : 517 pages
File Size : 46,6 Mb
Release : 2012-11-18
Category : Science
ISBN : 9781400845620

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Mathematical Tools for Understanding Infectious Disease Dynamics by Odo Diekmann,Hans Heesterbeek,Tom Britton Pdf

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

Infectious Disease Modeling

Xinzhi Liu,Peter Stechlinski
Infectious Disease Modeling Book PDF

Author : Xinzhi Liu,Peter Stechlinski
Publisher : Springer
Page : 271 pages
File Size : 49,5 Mb
Release : 2017-02-25
Category : Mathematics
ISBN : 9783319532080

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Infectious Disease Modeling by Xinzhi Liu,Peter Stechlinski Pdf

This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. The scope of coverage includes background on mathematical epidemiology, including classical formulations and results; a motivation for seasonal effects and changes in population behavior, an investigation into term-time forced epidemic models with switching parameters, and a detailed account of several different control strategies. The main goal is to study these models theoretically and to establish conditions under which eradication or persistence of the disease is guaranteed. In doing so, the long-term behavior of the models is determined through mathematical techniques from switched systems theory. Numerical simulations are also given to augment and illustrate the theoretical results and to help study the efficacy of the control schemes.

Infectious Disease Epidemiology

Ibrahim Abubakar,Helen R. Stagg,Ted Cohen,Laura C. Rodrigues
Infectious Disease Epidemiology Book PDF

Author : Ibrahim Abubakar,Helen R. Stagg,Ted Cohen,Laura C. Rodrigues
Publisher : Oxford University Press
Page : 416 pages
File Size : 53,6 Mb
Release : 2016-04-07
Category : Medical
ISBN : 9780191030550

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Infectious Disease Epidemiology by Ibrahim Abubakar,Helen R. Stagg,Ted Cohen,Laura C. Rodrigues Pdf

Infectious Disease Epidemiology is a concise reference guide which provides trainees and practicing epidemiologists with the information that they need to understand the basic concepts necessary for working in this specialist area. Divided into two sections, part one comprehensively covers the basic principles and methods relevant to the study of infectious disease epidemiology. It is organised in order of increasing complexity, ranging from a general introduction to subjects such as mathematical modelling and sero-epidemiology. Part two examines key major infectious diseases that are of global significance. Grouped by their route of transmission for ease of reference, they include diseases that present a particular burden or a high potential for causing mortality. This practical guide will be essential reading for postgraduate students in infectious disease epidemiology, health protection trainees, and practicing epidemiologists.

Modeling Infectious Disease Parameters Based on Serological and Social Contact Data

Niel Hens,Ziv Shkedy,Marc Aerts,Christel Faes,Pierre Van Damme,Philippe Beutels
Modeling Infectious Disease Parameters Based on Serological and Social Contact Data Book PDF

Author : Niel Hens,Ziv Shkedy,Marc Aerts,Christel Faes,Pierre Van Damme,Philippe Beutels
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 54,7 Mb
Release : 2012-10-24
Category : Medical
ISBN : 9781461440727

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Modeling Infectious Disease Parameters Based on Serological and Social Contact Data by Niel Hens,Ziv Shkedy,Marc Aerts,Christel Faes,Pierre Van Damme,Philippe Beutels Pdf

Mathematical epidemiology of infectious diseases usually involves describing the flow of individuals between mutually exclusive infection states. One of the key parameters describing the transition from the susceptible to the infected class is the hazard of infection, often referred to as the force of infection. The force of infection reflects the degree of contact with potential for transmission between infected and susceptible individuals. The mathematical relation between the force of infection and effective contact patterns is generally assumed to be subjected to the mass action principle, which yields the necessary information to estimate the basic reproduction number, another key parameter in infectious disease epidemiology. It is within this context that the Center for Statistics (CenStat, I-Biostat, Hasselt University) and the Centre for the Evaluation of Vaccination and the Centre for Health Economic Research and Modelling Infectious Diseases (CEV, CHERMID, Vaccine and Infectious Disease Institute, University of Antwerp) have collaborated over the past 15 years. This book demonstrates the past and current research activities of these institutes and can be considered to be a milestone in this collaboration. This book is focused on the application of modern statistical methods and models to estimate infectious disease parameters. We want to provide the readers with software guidance, such as R packages, and with data, as far as they can be made publicly available.

Mathematical Models in Epidemiology

Fred Brauer,Carlos Castillo-Chavez,Zhilan Feng
Mathematical Models in Epidemiology Book PDF

Author : Fred Brauer,Carlos Castillo-Chavez,Zhilan Feng
Publisher : Springer Nature
Page : 628 pages
File Size : 52,6 Mb
Release : 2019-10-10
Category : Mathematics
ISBN : 9781493998289

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Mathematical Models in Epidemiology by Fred Brauer,Carlos Castillo-Chavez,Zhilan Feng Pdf

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.

An Introduction to Infectious Disease Modelling

Emilia Vynnycky,Richard White
An Introduction to Infectious Disease Modelling Book PDF

Author : Emilia Vynnycky,Richard White
Publisher : Oxford University Press
Page : 401 pages
File Size : 44,7 Mb
Release : 2010-05-13
Category : Language Arts & Disciplines
ISBN : 9780198565765

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An Introduction to Infectious Disease Modelling by Emilia Vynnycky,Richard White Pdf

Mathematical models are increasingly used to guide public health policy decisions and explore questions in infectious disease control. Written for readers without advanced mathematical skills, this book provides an introduction to this area.

Mathematical Understanding of Infectious Disease Dynamics

Stefan Ma
Mathematical Understanding of Infectious Disease Dynamics Book PDF

Author : Stefan Ma
Publisher : World Scientific
Page : 240 pages
File Size : 52,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812834836

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Mathematical Understanding of Infectious Disease Dynamics by Stefan Ma Pdf

The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on Mathematical Modeling of Infectious Diseases: Dynamics and Control from 15 August to 9 October 2005. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.

Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases

Piero Manfredi,Alberto D'Onofrio
Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases Book PDF

Author : Piero Manfredi,Alberto D'Onofrio
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 49,6 Mb
Release : 2013-01-04
Category : Mathematics
ISBN : 9781461454748

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Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases by Piero Manfredi,Alberto D'Onofrio Pdf

This volume summarizes the state-of-the-art in the fast growing research area of modeling the influence of information-driven human behavior on the spread and control of infectious diseases. In particular, it features the two main and inter-related “core” topics: behavioral changes in response to global threats, for example, pandemic influenza, and the pseudo-rational opposition to vaccines. In order to make realistic predictions, modelers need to go beyond classical mathematical epidemiology to take these dynamic effects into account. With contributions from experts in this field, the book fills a void in the literature. It goes beyond classical texts, yet preserves the rationale of many of them by sticking to the underlying biology without compromising on scientific rigor. Epidemiologists, theoretical biologists, biophysicists, applied mathematicians, and PhD students will benefit from this book. However, it is also written for Public Health professionals interested in understanding models, and to advanced undergraduate students, since it only requires a working knowledge of mathematical epidemiology.

Modeling Infectious Diseases in Humans and Animals

Matt J. Keeling,Pejman Rohani
Modeling Infectious Diseases in Humans and Animals Book PDF

Author : Matt J. Keeling,Pejman Rohani
Publisher : Princeton University Press
Page : 385 pages
File Size : 53,6 Mb
Release : 2011-09-19
Category : Science
ISBN : 9781400841035

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Modeling Infectious Diseases in Humans and Animals by Matt J. Keeling,Pejman Rohani Pdf

For epidemiologists, evolutionary biologists, and health-care professionals, real-time and predictive modeling of infectious disease is of growing importance. This book provides a timely and comprehensive introduction to the modeling of infectious diseases in humans and animals, focusing on recent developments as well as more traditional approaches. Matt Keeling and Pejman Rohani move from modeling with simple differential equations to more recent, complex models, where spatial structure, seasonal "forcing," or stochasticity influence the dynamics, and where computer simulation needs to be used to generate theory. In each of the eight chapters, they deal with a specific modeling approach or set of techniques designed to capture a particular biological factor. They illustrate the methodology used with examples from recent research literature on human and infectious disease modeling, showing how such techniques can be used in practice. Diseases considered include BSE, foot-and-mouth, HIV, measles, rubella, smallpox, and West Nile virus, among others. Particular attention is given throughout the book to the development of practical models, useful both as predictive tools and as a means to understand fundamental epidemiological processes. To emphasize this approach, the last chapter is dedicated to modeling and understanding the control of diseases through vaccination, quarantine, or culling. Comprehensive, practical introduction to infectious disease modeling Builds from simple to complex predictive models Models and methodology fully supported by examples drawn from research literature Practical models aid students' understanding of fundamental epidemiological processes For many of the models presented, the authors provide accompanying programs written in Java, C, Fortran, and MATLAB In-depth treatment of role of modeling in understanding disease control