# Search Results for "an-introduction-to-infectious-disease-modelling"

## An Introduction to Infectious Disease Modelling

**Author**: Emilia Vynnycky,Richard White**Publisher:**Oxford University Press**ISBN:**0198565763**Category:**Mathematics**Page:**370**View:**8502

Mathematical models are increasingly being used to examine questions in infectious disease control. Applications include predicting the impact of vaccination strategies against common infections and determining optimal control strategies against HIV and pandemic influenza. This book introduces individuals interested in infectious diseases to this exciting and expanding area. The mathematical level of the book is kept as simple as possible, which makes the book accessible to those who have not studied mathematics to university level. Understanding is further enhanced by models that can be accessed online, which will allow readers to explore the impact of different factors and control strategies, and further adapt and develop the models themselves. The book is based on successful courses developed by the authors at the London School of Hygiene and Tropical Medicine. It will be of interest to epidemiologists, public health researchers, policy makers, veterinary scientists, medical statisticians and infectious disease researchers.

## An Introduction to Mathematical Modeling of Infectious Diseases

**Author**: Michael Y. Li**Publisher:**Springer**ISBN:**3319721224**Category:**Mathematics**Page:**156**View:**4296

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.

## Modeling Infectious Diseases in Humans and Animals

**Author**: Matt J. Keeling,Pejman Rohani**Publisher:**Princeton University Press**ISBN:**1400841038**Category:**Science**Page:**408**View:**5022

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

## An Introduction to Mathematical Epidemiology

**Author**: Maia Martcheva**Publisher:**Springer**ISBN:**9781489976116**Category:**Mathematics**Page:**453**View:**2009

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 of Infectious Diseases

*Model Building, Analysis and Interpretation*

**Author**: O. Diekmann,J. A. P. Heesterbeek**Publisher:**John Wiley & Sons**ISBN:**9780471492412**Category:**Mathematics**Page:**303**View:**7533

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.

## Infectious Diseases of Humans

*Dynamics and Control*

**Author**: Roy M. Anderson,Robert M. May**Publisher:**Oxford University Press**ISBN:**9780198540403**Category:**Medical**Page:**757**View:**6976

This much-acclaimed book provides an analytic framework for evaluating public health measures aimed at eradicating or controlling communicable diseases.

## Mathematical Tools for Understanding Infectious Disease Dynamics

**Author**: Odo Diekmann,Hans Heesterbeek,Tom Britton**Publisher:**Princeton University Press**ISBN:**0691155399**Category:**Mathematics**Page:**502**View:**3027

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

## Modeling and Dynamics of Infectious Diseases

**Author**: Zhien Ma,Yicang Zhou,Jianhong Wu**Publisher:**World Scientific**ISBN:**9814261254**Category:**Medical**Page:**343**View:**2939

This book provides a systematic introduction to the fundamental methods and techniques and the frontiers of ? along with many new ideas and results on ? infectious disease modeling, parameter estimation and transmission dynamics. It provides complementary approaches, from deterministic to statistical to network modeling; and it seeks viewpoints of the same issues from different angles, from mathematical modeling to statistical analysis to computer simulations and finally to concrete applications.

## A Historical Introduction to Mathematical Modeling of Infectious Diseases

*Seminal Papers in Epidemiology*

**Author**: Ivo M. Foppa**Publisher:**Academic Press**ISBN:**0128024992**Category:**Mathematics**Page:**214**View:**7488

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

## Mathematical Models in Population Biology and Epidemiology

**Author**: Fred Brauer,Dawn Bies**Publisher:**Springer Science & Business Media**ISBN:**1475735162**Category:**Science**Page:**417**View:**3395

The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

## Epidemic Modelling

*An Introduction*

**Author**: D. J. Daley,J. Gani**Publisher:**Cambridge University Press**ISBN:**9780521014670**Category:**Mathematics**Page:**213**View:**736

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

## Modeling Infectious Disease Parameters Based on Serological and Social Contact Data

*A Modern Statistical Perspective*

**Author**: Niel Hens,Ziv Shkedy,Marc Aerts,Christel Faes,Pierre Van Damme,Philippe Beutels**Publisher:**Springer Science & Business Media**ISBN:**1461440726**Category:**Medical**Page:**300**View:**4813

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.

## Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases

**Author**: Dongmei Chen,Bernard Moulin,Jianhong Wu**Publisher:**John Wiley & Sons**ISBN:**1118629930**Category:**Medical**Page:**496**View:**1667

## A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

**Author**: Sarah P. Otto,Troy Day**Publisher:**Princeton University Press**ISBN:**1400840910**Category:**Science**Page:**744**View:**1499

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

## Infectious Disease Epidemiology

**Author**: Professor of Infectious Disease Epidemiology Laura Rodrigues**Publisher:**Oxford University Press**ISBN:**0198719833**Category:**Communicable diseases**Page:**416**View:**6328

Infectious Disease Epidemiology provides a concise reference for practicing epidemiologists, and provides trainee readers with a thorough understanding of basic the concepts which are critical to understanding specialist areas of infectious disease epidemiology. Divided into two sections, part one of the book covers a comprehensive list of methods relevant to the study of infectious disease epidemiology, organised in order of increasing complexity, from a general introduction, to subjects such as mathematical modelling and sero-epidemiology. Part two addresses major infectious diseases that are of global significance due to their current burden or their potential for causing morbidity and mortality. The examples have been selected and grouped into chapters based on the route of transmission. This practical guide will be essential reading for postgraduate students in infectious disease epidemiology, health protection trainees.

## Spatial Agent-Based Simulation Modeling in Public Health

*Design, Implementation, and Applications for Malaria Epidemiology*

**Author**: S. M. Niaz Arifin,Gregory R. Madey,Frank H. Collins**Publisher:**John Wiley & Sons**ISBN:**1118964357**Category:**Mathematics**Page:**320**View:**8032

Presents an overview of the complex biological systems used within a global public health setting and features a focus on malaria analysis Bridging the gap between agent-based modeling and simulation (ABMS) and geographic information systems (GIS), Spatial Agent-Based Simulation Modeling in Public Health: Design, Implementation, and Applications for Malaria Epidemiology provides a useful introduction to the development of agent-based models (ABMs) by following a conceptual and biological core model of Anopheles gambiae for malaria epidemiology. Using spatial ABMs, the book includes mosquito (vector) control interventions and GIS as two example applications of ABMs, as well as a brief description of epidemiology modeling. In addition, the authors discuss how to most effectively integrate spatial ABMs with a GIS. The book concludes with a combination of knowledge from entomological, epidemiological, simulation-based, and geo-spatial domains in order to identify and analyze relationships between various transmission variables of the disease. Spatial Agent-Based Simulation Modeling in Public Health: Design, Implementation, and Applications for Malaria Epidemiology also features: Location-specific mosquito abundance maps that play an important role in malaria control activities by guiding future resource allocation for malaria control and identifying hotspots for further investigation Discussions on the best modeling practices in an effort to achieve improved efficacy, cost-effectiveness, ecological soundness, and sustainability of vector control for malaria An overview of the various ABMs, GIS, and spatial statistical methods used in entomological and epidemiological studies, as well as the model malaria study A companion website with computer source code and flowcharts of the spatial ABM and a landscape generator tool that can simulate landscapes with varying spatial heterogeneity of different types of resources including aquatic habitats and houses Spatial Agent-Based Simulation Modeling in Public Health: Design, Implementation, and Applications for Malaria Epidemiology is an excellent reference for professionals such as modeling and simulation experts, GIS experts, spatial analysts, mathematicians, statisticians, epidemiologists, health policy makers, as well as researchers and scientists who use, manage, or analyze infectious disease data and/or infectious disease-related projects. The book is also ideal for graduate-level courses in modeling and simulation, bioinformatics, biostatistics, public health and policy, and epidemiology. S. M. Niaz Arifin, PhD, is Research Assistant Professor in the Department of Computer Science and Engineering at the University of Notre Dame. A member of The Society for Computer Simulation, and American Society of Tropical Medicine and Hygiene, and the recipient of The American Society of Tropical Medicine and Hygiene Travel Award in 2011, his research interests include agent-based modeling and simulation, public health, data warehousing, and geographic information systems. Gregory R. Madey, PhD, is Research Professor in the Department of Computer Science and Engineering at the University of Notre Dame. A member of The Society for Computer Simulation, Institute of Electrical and Electronics Engineers Computer Society, and American Society of Tropical Medicine and Hygiene, his research interests include agent-based modeling and simulation, cyberinfrastructure, bioinformatics, biocomplexity, e-Technologies, open source software, disaster management, and health informatics. Frank H. Collins, PhD, is Professor in the Department of Biological Sciences at the University of Notre Dame. His research interests include genome level studies of arthropod vectors of human pathogens, the biology of malaria vectors with a focus on the development of molecular tools that will permit better resolution of questions about vector population ecology, ecological genetics, and the epidemiology of malaria transmission.

## Infectious Disease Modeling

*A Hybrid System Approach*

**Author**: Xinzhi Liu,Peter Stechlinski**Publisher:**Springer**ISBN:**3319532081**Category:**Mathematics**Page:**271**View:**442

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.

## The Geographic Spread of Infectious Diseases

*Models and Applications*

**Author**: Lisa Sattenspiel**Publisher:**Princeton University Press**ISBN:**069112132X**Category:**Mathematics**Page:**286**View:**4549

The 1918-19 influenza epidemic killed more than fifty million people worldwide. The SARS epidemic of 2002-3, by comparison, killed fewer than a thousand. The success in containing the spread of SARS was due largely to the rapid global response of public health authorities, which was aided by insights resulting from mathematical models. Models enabled authorities to better understand how the disease spread and to assess the relative effectiveness of different control strategies. In this book, Lisa Sattenspiel and Alun Lloyd provide a comprehensive introduction to mathematical models in epidemiology and show how they can be used to predict and control the geographic spread of major infectious diseases. Key concepts in infectious disease modeling are explained, readers are guided from simple mathematical models to more complex ones, and the strengths and weaknesses of these models are explored. The book highlights the breadth of techniques available to modelers today, such as population-based and individual-based models, and covers specific applications as well. Sattenspiel and Lloyd examine the powerful mathematical models that health authorities have developed to understand the spatial distribution and geographic spread of influenza, measles, foot-and-mouth disease, and SARS. Analytic methods geographers use to study human infectious diseases and the dynamics of epidemics are also discussed. A must-read for students, researchers, and practitioners, no other book provides such an accessible introduction to this exciting and fast-evolving field.

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

**Author**: Gerardo Chowell,James M. Hyman**Publisher:**Springer**ISBN:**331940413X**Category:**Mathematics**Page:**356**View:**6670

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.

## The Economics of Infectious Disease

**Author**: Jennifer A. Roberts**Publisher:**Oxford University Press, USA**ISBN:**9780198516217**Category:**Medical**Page:**386**View:**9798

Infectious diseases once considered vanquished in the developed world now represent a growing challenge to public health care systems. Not only do we face threats from new diseases such as AIDS, MRSA, SARS and Avian Flu, but old scourges such as tuberculosis are returning in drug resistant forms. Food-borne infections are common, encompassing both common bacterial infections that are associated with gastro-enteritis and new diseases that have crossed the species barriers, such as BSE andthe resultant new variant CJD. SARS and Avian Flu are the newest threats and have an increasingly high public profile. These diseases present complex and as yet unresolved problems for those involved in the control of infectious disease. Jennifer Roberts and her international team present the contribution economists can make to the management and control of infectious diseases. The book leads the reader through the economic evaluation of specific diseases, chosen to reflect some of the great challenges to those aiming to control infectious disease in both developed and developing countries. It then examines the wider issues involved in the economics of infectious disease; modelling, governance and the control of outbreaks, risk assessment models for food safety, the global perspective and the role of international regulatory co-operation, and the effect on trade. Contagion is an ever-present threat to public safety, particularly high on the international policy agenda in the current climate of fears of bioterrorism and the return of diseases thought eradicated. This introduction to the methods and techniques of economics as applied to infectious diseases will make fascinating reading for those involved from both perspectives, and is a timely contribution to a major issue.