# A Historical Introduction to Mathematical Modeling of Infectious Diseases

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- Author : Ivo M. Foppa
- Publisher : Academic Press
- Release : 18 October 2016
- ISBN : 9780128024997
- Page : 214 pages
- Rating : 4.5/5 from 103 voters

## Download A Historical Introduction to Mathematical Modeling of Infectious Diseases in PDF, Epub and Kindle

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

### A Historical Introduction to Mathematical Modeling of Infectious Diseases

- Author : Ivo M. Foppa
- Publisher : Academic Press
- Release Date : 2016-10-18
- ISBN : 9780128024997

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

### A Historical Introduction to Mathematical Modeling of Infectious Diseases

- Author : Ivo M. Foppa
- Publisher : Academic Press
- Release Date : 2016-10-21
- ISBN : 0128022604

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

### Mathematical Analysis of Infectious Diseases

- Author : Praveen Agarwal,Juan J. Nieto,Delfim F.M. Torres
- Publisher : Academic Press
- Release Date : 2022-06-10
- ISBN : 9780323904582

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

### An Introduction to Mathematical Modeling of Infectious Diseases

- Author : Michael Y. Li
- Publisher : Springer
- Release Date : 2018-01-30
- ISBN : 9783319721224

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

### Mathematical Epidemiology

- Author : Fred Brauer,Pauline van den Driessche,J. Wu
- Publisher : Springer Science & Business Media
- Release Date : 2008-04-30
- ISBN : 9783540789109

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

### Mathematical Models in Epidemiology

- Author : Fred Brauer,Carlos Castillo-Chavez,Zhilan Feng
- Publisher : Springer Nature
- Release Date : 2019-10-10
- ISBN : 9781493998289

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

### Modeling Infectious Diseases in Humans and Animals

- Author : Matt J. Keeling,Pejman Rohani
- Publisher : Princeton University Press
- Release Date : 2011-09-19
- ISBN : 9781400841035

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

### Mathematical Epidemiology of Infectious Diseases

- Author : O. Diekmann,J. A. P. Heesterbeek
- Publisher : John Wiley & Sons
- Release Date : 2000-04-07
- ISBN : 0471492418

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,

### MATHEMATICAL MODELS – Volume III

- Author : Jerzy A. Filar,Jacek B Krawczyk
- Publisher : EOLSS Publications
- Release Date : 2009-09-19
- ISBN : 9781848262447

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

### An Introduction to Infectious Disease Modelling

- Author : Emilia Vynnycky,Richard White
- Publisher : Oxford University Press
- Release Date : 2010-05-13
- ISBN : 9780198565765

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.

### Epidemics

- Author : Ottar N. Bjørnstad
- Publisher : Springer
- Release Date : 2018-10-30
- ISBN : 9783319974873

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.

### An Introduction to Mathematical Epidemiology

- Author : Maia Martcheva
- Publisher : Springer
- Release Date : 2015-10-20
- ISBN : 9781489976123

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

### Modern Infectious Disease Epidemiology

- Author : Alexander Krämer,Mirjam Kretzschmar,Klaus Krickeberg
- Publisher : Springer Science & Business Media
- Release Date : 2010-01-23
- ISBN : 0387938354

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

### Encyclopedia of Infectious Diseases

- Author : Michel Tibayrenc
- Publisher : Wiley-Liss
- Release Date : 2007-07-27
- ISBN : 0471657328

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

### Mathematical Models of Infectious Diseases and Social Issues

- Author : Shah, Nita H.,Mittal, Mandeep
- Publisher : IGI Global
- Release Date : 2020-06-26
- ISBN : 9781799837428

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.