Mathematical Epidemiology of Infectious Diseases

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Publisher : John Wiley & Sons
ISBN 13 : 9780471492412
Total Pages : 324 pages
Book Rating : 4.4/5 (924 download)

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Book Synopsis Mathematical Epidemiology of Infectious Diseases by : O. Diekmann

Download or read book Mathematical Epidemiology of Infectious Diseases written by O. Diekmann and published by John Wiley & Sons. This book was released on 2000-04-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Academic Press
ISBN 13 : 0128024992
Total Pages : 214 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis A Historical Introduction to Mathematical Modeling of Infectious Diseases by : Ivo M. Foppa

Download or read book A Historical Introduction to Mathematical Modeling of Infectious Diseases written by Ivo M. Foppa and published by Academic Press. This book was released on 2016-10-18 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Epidemiology

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Author :
Publisher : Springer
ISBN 13 : 1489976124
Total Pages : 453 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis An Introduction to Mathematical Epidemiology by : Maia Martcheva

Download or read book An Introduction to Mathematical Epidemiology written by Maia Martcheva and published by Springer. This book was released on 2015-10-20 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Mathematical Modeling of Infectious Diseases

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Publisher : Springer
ISBN 13 : 3319721224
Total Pages : 156 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis An Introduction to Mathematical Modeling of Infectious Diseases by : Michael Y. Li

Download or read book An Introduction to Mathematical Modeling of Infectious Diseases written by Michael Y. Li and published by Springer. This book was released on 2018-01-30 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer Science & Business Media
ISBN 13 : 0387938354
Total Pages : 441 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Modern Infectious Disease Epidemiology by : Alexander Krämer

Download or read book Modern Infectious Disease Epidemiology written by Alexander Krämer and published by Springer Science & Business Media. This book was released on 2010-01-23 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Tools for Understanding Infectious Disease Dynamics

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Publisher : Princeton University Press
ISBN 13 : 0691155399
Total Pages : 516 pages
Book Rating : 4.6/5 (911 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 2013 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book 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.

Infectious Disease Epidemiology

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Publisher : Oxford University Press
ISBN 13 : 0191030554
Total Pages : 416 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Infectious Disease Epidemiology by : Ibrahim Abubakar

Download or read book Infectious Disease Epidemiology written by Ibrahim Abubakar and published by Oxford University Press. This book was released on 2016-04-07 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Epidemiology

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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).

Mathematical Modelling and Analysis of Infectious Diseases

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Publisher : Springer Nature
ISBN 13 : 3030498964
Total Pages : 348 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Mathematical Modelling and Analysis of Infectious Diseases by : Khalid Hattaf

Download or read book Mathematical Modelling and Analysis of Infectious Diseases written by Khalid Hattaf and published by Springer Nature. This book was released on 2020-07-30 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses significant research and study topics related to mathematical modelling and analysis of infectious diseases. It includes several models and modelling approaches with different aims, such as identifying and analysing causes of occurrence and re-occurrence, causes of spreading, treatments and control strategies. A valuable resource for researchers, students, educators, scientists, professionals and practitioners interested in gaining insights into various aspects of infectious diseases using mathematical modelling and mathematical analysis, the book will also appeal to general readers wanting to understand the dynamics of various diseases and related issues. Key Features Mathematical models that describe population prevalence or incidence of infectious diseases Mathematical tools and techniques to analyse data on the incidence of infectious diseases Early detection and risk estimate models of infectious diseases Mathematical models that describe the transmission of infectious diseases and analyse data Dynamical analysis and control strategies for infectious diseases Studies comparing the utility of particular models in describing infected diseases-related issues such as social, health and economic

Infectious Disease Modeling

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Publisher : Springer
ISBN 13 : 3319532081
Total Pages : 271 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Infectious Disease Modeling by : Xinzhi Liu

Download or read book Infectious Disease Modeling written by Xinzhi Liu and published by Springer. This book was released on 2017-02-25 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Infectious Disease Modelling

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Publisher : Oxford University Press
ISBN 13 : 0198565763
Total Pages : 401 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis An Introduction to Infectious Disease Modelling by : Emilia Vynnycky

Download or read book An Introduction to Infectious Disease Modelling written by Emilia Vynnycky and published by Oxford University Press. This book was released on 2010-05-13 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modeling Infectious Disease Parameters Based on Serological and Social Contact Data

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Publisher : Springer Science & Business Media
ISBN 13 : 1461440726
Total Pages : 300 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Modeling Infectious Disease Parameters Based on Serological and Social Contact Data by : Niel Hens

Download or read book Modeling Infectious Disease Parameters Based on Serological and Social Contact Data written by Niel Hens and published by Springer Science & Business Media. This book was released on 2012-10-24 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

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Publisher : Springer Science & Business Media
ISBN 13 : 1461454743
Total Pages : 329 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases by : Piero Manfredi

Download or read book Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases written by Piero Manfredi and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Models in Epidemiology

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Publisher : Springer Nature
ISBN 13 : 1493998285
Total Pages : 628 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Mathematical Models in Epidemiology by : Fred Brauer

Download or read book Mathematical Models in Epidemiology written by Fred Brauer and published by Springer Nature. This book was released on 2019-10-10 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Infectious Diseases of Humans

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Publisher : Oxford University Press
ISBN 13 : 9780198540403
Total Pages : 772 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Infectious Diseases of Humans by : Roy M. Anderson

Download or read book Infectious Diseases of Humans written by Roy M. Anderson and published by Oxford University Press. This book was released on 1991 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with infectious diseases -- viral, bacterial, protozoan and helminth -- in terms of the dynamics of their interaction with host populations. The book combines mathematical models with extensive use of epidemiological and other data. This analytic framework is highly useful for the evaluation of public health strategies aimed at controlling or eradicating particular infections. Such a framework is increasingly important in light of the widespread concern for primary health care programs aimed at such diseases as measles, malaria, river blindness, sleeping sickness, and schistosomiasis, and the advent of AIDS/HIV and other emerging viruses. Throughout the book, the mathematics is used as a tool for thinking clearly about fundamental and applied problems having to do with infectious diseases. The book is divided into two parts, one dealing with microparasites (viruses, bacteria and protozoans) and the other with macroparasites (helminths and parasitic arthropods). Each part begins with simple models, developed in a biologically intuitive way, and then goes on to develop more complicated and realistic models as tools for public health planning. The book synthesizes previous work in this rapidly growing field (much of which is scattered between the ecological and the medical literature) with a good deal of new material.

Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases

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Publisher : Springer
ISBN 13 : 331940413X
Total Pages : 356 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases by : Gerardo Chowell

Download or read book Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases written by Gerardo Chowell and published by Springer. This book was released on 2016-07-27 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions by epidemic modeling experts describe how mathematical models and statistical forecasting are created to capture the most important aspects of an emerging epidemic.Readers will discover a broad range of approaches to address questions, such as Can we control Ebola via ring vaccination strategies? How quickly should we detect Ebola cases to ensure epidemic control? What is the likelihood that an Ebola epidemic in West Africa leads to secondary outbreaks in other parts of the world? When does it matter to incorporate the role of disease-induced mortality on epidemic models? What is the role of behavior changes on Ebola dynamics? How can we better understand the control of cholera or Ebola using optimal control theory? How should a population be structured in order to mimic the transmission dynamics of diseases such as chlamydia, Ebola, or cholera? How can we objectively determine the end of an epidemic? How can we use metapopulation models to understand the role of movement restrictions and migration patterns on the spread of infectious diseases? How can we capture the impact of household transmission using compartmental epidemic models? How could behavior-dependent vaccination affect the dynamical outcomes of epidemic models? The derivation and analysis of the mathematical models addressing these questions provides a wide-ranging overview of the new approaches being created to better forecast and mitigate emerging epidemics. This book will be of interest to researchers in the field of mathematical epidemiology, as well as public health workers.

Mathematical Understanding of Infectious Disease Dynamics

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Publisher : World Scientific
ISBN 13 : 9812834826
Total Pages : 240 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Mathematical Understanding of Infectious Disease Dynamics by : Stefan Ma

Download or read book Mathematical Understanding of Infectious Disease Dynamics written by Stefan Ma and published by World Scientific. This book was released on 2009 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Original book with a comprehensive collection of many significant topics of the frontiers in applied presentation of many epidemic models with many real-life examples. presents an integration of interesting ideas from the well-mixed fields of statistics and mathematics. A valuable resource for researchers in wide range of disciplines to solve problems of practical interest.