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A Historical Introduction To Mathematical Modeling Of Infectious Diseases

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A Historical Introduction to Mathematical Modeling of Infectious Diseases

A Historical Introduction to Mathematical Modeling of Infectious Diseases Book
Author : Ivo M. Foppa
Publisher : Academic Press
Release : 2016-10-18
ISBN : 0128024992
Language : En, Es, Fr & De

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Book Description :

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

An Introduction to Mathematical Modeling of Infectious Diseases Book
Author : Michael Y. Li
Publisher : Springer
Release : 2018-01-30
ISBN : 3319721224
Language : En, Es, Fr & De

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Book Description :

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.

Mathematical Analysis of Infectious Diseases

Mathematical Analysis of Infectious Diseases Book
Author : Praveen Agarwal,Juan J. Nieto,Delfim F.M. Torres
Publisher : Academic Press
Release : 2022-06-10
ISBN : 0323904580
Language : En, Es, Fr & De

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Book Description :

Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand disease progression, but also to provide predictions about the evolution of disease. One of the main focuses of the book is the transmission dynamics of the infectious diseases like COVID-19 and the intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on infections using compartmental and mathematical models in epidemiology like SI, SIR, SICA, and SEIR. The book also covers topics like: biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of infectious diseases, mathematical modeling and analysis of diagnosis rate effects and prediction of viruses, data-driven graphical analysis of epidemic trends, dynamic simulation and scenario analysis of the spread of diseases, and the systematic review of the mathematical modeling of infectious disease like coronaviruses. Offers analytical and numerical techniques for virus models Discusses mathematical modeling and its applications in treating infectious diseases or analyzing their spreading rates Covers the application of differential equations for analyzing disease problems Examines probability distribution and bio-mathematical applications

Mathematical Epidemiology

Mathematical Epidemiology Book
Author : Fred Brauer,Pauline van den Driessche,J. Wu
Publisher : Springer Science & Business Media
Release : 2008-04-30
ISBN : 3540789103
Language : En, Es, Fr & De

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Book Description :

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 Models in Epidemiology

Mathematical Models in Epidemiology Book
Author : Fred Brauer,Carlos Castillo-Chavez,Zhilan Feng
Publisher : Springer Nature
Release : 2019-10-10
ISBN : 1493998285
Language : En, Es, Fr & De

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Book Description :

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

An Introduction to Infectious Disease Modelling Book
Author : Emilia Vynnycky,Richard White
Publisher : Oxford University Press
Release : 2010-05-13
ISBN : 0198565763
Language : En, Es, Fr & De

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Book Description :

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.

Modern Infectious Disease Epidemiology

Modern Infectious Disease Epidemiology Book
Author : Alexander Krämer,Mirjam Kretzschmar,Klaus Krickeberg
Publisher : Springer Science & Business Media
Release : 2010-01-23
ISBN : 9780387938356
Language : En, Es, Fr & De

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Book Description :

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.

Modeling Infectious Diseases in Humans and Animals

Modeling Infectious Diseases in Humans and Animals Book
Author : Matt J. Keeling,Pejman Rohani
Publisher : Princeton University Press
Release : 2011-09-19
ISBN : 1400841038
Language : En, Es, Fr & De

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Book Description :

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

Mathematical Epidemiology of Infectious Diseases

Mathematical Epidemiology of Infectious Diseases Book
Author : O. Diekmann,J. A. P. Heesterbeek
Publisher : John Wiley & Sons
Release : 2000-04-07
ISBN : 9780471492412
Language : En, Es, Fr & De

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Book Description :

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.

An Introduction to Mathematical Epidemiology

An Introduction to Mathematical Epidemiology Book
Author : Maia Martcheva
Publisher : Springer
Release : 2015-10-20
ISBN : 1489976124
Language : En, Es, Fr & De

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Book Description :

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.

Epidemics

Epidemics Book
Author : Ottar N. Bjørnstad
Publisher : Springer
Release : 2018-10-30
ISBN : 3319974874
Language : En, Es, Fr & De

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Book Description :

This book is designed to be a practical study in infectious disease dynamics. The book offers an easy to follow implementation and analysis of mathematical epidemiology. The book focuses on recent case studies in order to explore various conceptual, mathematical, and statistical issues. The dynamics of infectious diseases shows a wide diversity of pattern. Some have locally persistent chains-of-transmission, others persist spatially in ‘consumer-resource metapopulations’. Some infections are prevalent among the young, some among the old and some are age-invariant. Temporally, some diseases have little variation in prevalence, some have predictable seasonal shifts and others exhibit violent epidemics that may be regular or irregular in their timing. Models and ‘models-with-data’ have proved invaluable for understanding and predicting this diversity, and thence help improve intervention and control. Using mathematical models to understand infectious disease dynamics has a very rich history in epidemiology. The field has seen broad expansions of theories as well as a surge in real-life application of mathematics to dynamics and control of infectious disease. The chapters of Epidemics: Models and Data using R have been organized in a reasonably logical way: Chapters 1-10 is a mix and match of models, data and statistics pertaining to local disease dynamics; Chapters 11-13 pertains to spatial and spatiotemporal dynamics; Chapter 14 highlights similarities between the dynamics of infectious disease and parasitoid-host dynamics; Finally, Chapters 15 and 16 overview additional statistical methodology useful in studies of infectious disease dynamics. This book can be used as a guide for working with data, models and ‘models-and-data’ to understand epidemics and infectious disease dynamics in space and time.

Encyclopedia of Infectious Diseases

Encyclopedia of Infectious Diseases Book
Author : Michel Tibayrenc
Publisher : John Wiley & Sons
Release : 2007-07-31
ISBN : 9780470114193
Language : En, Es, Fr & De

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Book Description :

Discover how the application of novel multidisciplinary, integrative approaches and technologies are dramatically changing our understanding of the pathogenesis of infectious diseases and their treatments. Each article presents the state of the science, with a strong emphasis on new and emerging medical applications. The Encyclopedia of Infectious Diseases is organized into five parts. The first part examines current threats such as AIDS, malaria, SARS, and influenza. The second part addresses the evolution of pathogens and the relationship between human genetic diversity and the spread of infectious diseases. The next two parts highlight the most promising uses of molecular identification, vector control, satellite detection, surveillance, modeling, and high-throughput technologies. The final part explores specialized topics of current concern, including bioterrorism, world market and infectious diseases, and antibiotics for public health. Each article is written by one or more leading experts in the field of infectious diseases. These experts place all the latest findings from various disciplines in context, helping readers understand what is currently known, what the next generation of breakthroughs is likely to be, and where more research is needed. Several features facilitate research and deepen readers' understanding of infectious diseases: Illustrations help readers understand the pathogenesis and diagnosis of infectious diseases Lists of Web resources serve as a gateway to important research centers, government agencies, and other sources of information from around the world Information boxes highlight basic principles and specialized terminology International contributions offer perspectives on how infectious diseases are viewed by different cultures A special chapter discusses the representation of infectious diseases in art With its multidisciplinary approach, this encyclopedia helps point researchers in new promising directions and helps health professionals better understand the nature and treatment of infectious diseases.

MATHEMATICAL MODELS Volume III

MATHEMATICAL MODELS     Volume III Book
Author : Jerzy A. Filar,Jacek B Krawczyk
Publisher : EOLSS Publications
Release : 2009-09-19
ISBN : 1848262442
Language : En, Es, Fr & De

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Book Description :

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Modeling and Control of Infectious Diseases in the Host

Modeling and Control of Infectious Diseases in the Host Book
Author : Esteban A. Hernandez-Vargas
Publisher : Academic Press
Release : 2019-02-15
ISBN : 0128130520
Language : En, Es, Fr & De

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Book Description :

Modeling and Control of Infectious Diseases in the Host: With MATLAB and R provides a holistic understanding of health and disease by presenting topics on quantitative decision-making that influence the development of drugs. The book presents modeling advances in different viral infections, dissecting detailed contributions of key players, along with their respective interactions. By combining tailored in vivo experiments and mathematical modeling approaches, the book clarifies the relative contributions of different underlying mechanisms within hosts of the most lethal viral infections, including HIV, influenza and Ebola. Illustrative examples for parameter fitting, modeling and control applications are explained using MATLAB and R. Provides a multi-scale framework to link within-host infection dynamics (individual level) to between-host transmission fitness (epidemiological level) in viral infectious diseases Includes PK/PD modeling and simulation approaches to improve efficiency and decision-making at preclinical development phases Presents a theoretic approach to schedule drug treatments

Trends in Infectious Diseases

Trends in Infectious Diseases Book
Author : Shailendra K. Saxena
Publisher : BoD – Books on Demand
Release : 2014-04-23
ISBN : 9535113127
Language : En, Es, Fr & De

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Book Description :

This book gives a comprehensive overview of recent trends in infectious diseases, as well as general concepts of infections, immunopathology, diagnosis, treatment, epidemiology and etiology to current clinical recommendations in management of infectious diseases, highlighting the ongoing issues, recent advances, with future directions in diagnostic approaches and therapeutic strategies. The book focuses on various aspects and properties of infectious diseases whose deep understanding is very important for safeguarding human race from more loss of resources and economies due to pathogens.

Infectious Disease Epidemiology

Infectious Disease Epidemiology Book
Author : Ibrahim Abubakar,Helen R. Stagg,Ted Cohen,Laura C. Rodrigues
Publisher : Oxford University Press
Release : 2016-04-07
ISBN : 0191030546
Language : En, Es, Fr & De

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Book Description :

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.

Epidemic Modelling

Epidemic Modelling Book
Author : D. J. Daley,J. Gani
Publisher : Cambridge University Press
Release : 2001-05-28
ISBN : 9780521014670
Language : En, Es, Fr & De

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Book Description :

This is a general introduction to the mathematical modelling of diseases.

A Biologist s Guide to Mathematical Modeling in Ecology and Evolution

A Biologist s Guide to Mathematical Modeling in Ecology and Evolution Book
Author : Sarah P. Otto,Troy Day
Publisher : Princeton University Press
Release : 2011-09-19
ISBN : 1400840910
Language : En, Es, Fr & De

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Book Description :

Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Health Reform Policy to Practice

Health Reform Policy to Practice Book
Author : Ronald Stock,Bruce W. Goldberg
Publisher : Academic Press
Release : 2017-08-04
ISBN : 0128098287
Language : En, Es, Fr & De

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Book Description :

Health Reform Policy to Practice: Oregon as a Case Study for a Path to a Comprehensive and Sustainable Health Delivery Model offers a real world example of an innovative, successful and comprehensive program conducted by the U.S. State of Oregon. In 1991, Oregon embarked on a journey to improve health for all its citizens by radically re-thinking how to approach health care for long-term benefits. Over more than two decades, Oregonians have participated in a dialogue to create a new approach to solve the dilemma of providing high quality health care that is affordable and effective. Traditionally, health care reform looked at cutting people from care, cutting provider rates or cutting services. Oregon’s approach is unique in that it built a new system of delivery from the ground (community) up. The Oregon model took a “Fourth Path to health care by redesigning the clinical delivery system through reducing waste, improving individual health and prevention, and therefore reducing utilization of services, creating local accountability, aligning financial incentives and creating fiscal accountability. This is not only an Oregon story, but a national one as other states, payers and purchasers implement health care reform. Written by content experts who have been actively involved in health care reform efforts Provides clear translation of current information and experience to implementation Explores the potential impact of the Oregon experience on national and international health care reform efforts

Mathematical Models of Infectious Diseases and Social Issues

Mathematical Models of Infectious Diseases and Social Issues Book
Author : Shah, Nita H.,Mittal, Mandeep
Publisher : IGI Global
Release : 2020-06-26
ISBN : 1799837424
Language : En, Es, Fr & De

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Book Description :

When deadly illness spreads through a population at a rapid pace, time may be of the essence in order to save lives. Using mathematics as a language to interpret assumptions concerning the biological and population mechanics, one can make predictions by analyzing actual epidemiological data using mathematical tests and results. Mathematical models can help us understand the right disease status and predict the effects of the disease on populations, which can help limit the spread and devastation of the illness. Mathematical Models of Infectious Diseases and Social Issues is a collection of innovative research that examines the dynamics of diseases and their effect on populations. Featuring coverage of a broad range of topics including deterministic models, environmental pollution, and social issues, this book is ideally designed for diagnosticians, clinicians, healthcare providers, pharmacists, government health officials, policymakers, academicians, researchers, and students.