Mathematical Tools for Understanding Infectious Disease Dynamics

Mathematical Tools for Understanding Infectious Disease Dynamics
Author: Odo Diekmann,Hans Heesterbeek,Tom Britton
Publsiher: Princeton University Press
Total Pages: 516
Release: 2013
Genre: Mathematics
ISBN: 9780691155395

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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.

Mathematical Understanding of Infectious Disease Dynamics

Mathematical Understanding of Infectious Disease Dynamics
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 2024
Genre: Electronic Book
ISBN: 9789814469869

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Mathematical Understanding of Infectious Disease Dynamics

Mathematical Understanding of Infectious Disease Dynamics
Author: Stefan Ma
Publsiher: World Scientific
Total Pages: 240
Release: 2009
Genre: Mathematics
ISBN: 9789812834836

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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.

An Introduction to Mathematical Modeling of Infectious Diseases

An Introduction to Mathematical Modeling of Infectious Diseases
Author: Michael Y. Li
Publsiher: Springer
Total Pages: 156
Release: 2018-01-30
Genre: Mathematics
ISBN: 9783319721224

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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 Modelling and Analysis of Infectious Diseases

Mathematical Modelling and Analysis of Infectious Diseases
Author: Khalid Hattaf,Hemen Dutta
Publsiher: Springer Nature
Total Pages: 348
Release: 2020-07-30
Genre: Technology & Engineering
ISBN: 9783030498962

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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 Diseases of Humans

Infectious Diseases of Humans
Author: Roy M. Anderson,Robert M. May
Publsiher: Oxford University Press
Total Pages: 772
Release: 1991
Genre: Medical
ISBN: 019854040X

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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.

Encyclopedia of Infectious Diseases

Encyclopedia of Infectious Diseases
Author: Michel Tibayrenc
Publsiher: John Wiley & Sons
Total Pages: 480
Release: 2007-07-31
Genre: Science
ISBN: 0470114193

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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 Epidemiology

Mathematical Epidemiology
Author: Fred Brauer,Pauline van den Driessche,J. Wu
Publsiher: Springer Science & Business Media
Total Pages: 415
Release: 2008-04-30
Genre: Medical
ISBN: 9783540789109

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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).