• Home
  • A Historical Introduction to Mathematical Modeling of Infectious Diseases

A Historical Introduction to Mathematical Modeling of Infectious Diseases

A Historical Introduction to Mathematical Modeling of Infectious Diseases
  • Author : Ivo M. Foppa
  • Publsiher : Academic Press
  • Release : 18 October 2016
  • ISBN : 0128024992
  • Pages : 214 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKA Historical Introduction to Mathematical Modeling of Infectious Diseases

Summary:
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

A Historical Introduction to Mathematical Modeling of Infectious Diseases
  • Author : Ivo M. Foppa
  • Publisher : Academic Press
  • Release : 18 October 2016
GET THIS BOOKA Historical Introduction to Mathematical Modeling of Infectious Diseases

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


An Introduction to Mathematical Modeling of Infectious Diseases

An Introduction to Mathematical Modeling of Infectious Diseases
  • Author : Michael Y. Li
  • Publisher : Springer
  • Release : 30 January 2018
GET THIS BOOKAn Introduction to Mathematical Modeling of Infectious Diseases

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

Mathematical Epidemiology
  • Author : Fred Brauer,Pauline van den Driessche,J. Wu
  • Publisher : Springer Science & Business Media
  • Release : 30 April 2008
GET THIS BOOKMathematical Epidemiology

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

Mathematical Models in Epidemiology
  • Author : Fred Brauer,Carlos Castillo-Chavez,Zhilan Feng
  • Publisher : Springer Nature
  • Release : 10 October 2019
GET THIS BOOKMathematical Models in Epidemiology

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 and Control of Infectious Diseases in the Host

Modeling and Control of Infectious Diseases in the Host
  • Author : Esteban A. Hernandez-Vargas
  • Publisher : Academic Press
  • Release : 15 February 2019
GET THIS BOOKModeling and Control of Infectious Diseases in the Host

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


An Introduction to Mathematical Epidemiology

An Introduction to Mathematical Epidemiology
  • Author : Maia Martcheva
  • Publisher : Springer
  • Release : 20 October 2015
GET THIS BOOKAn Introduction to Mathematical Epidemiology

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


Modeling Infectious Diseases in Humans and Animals

Modeling Infectious Diseases in Humans and Animals
  • Author : Matt J. Keeling,Pejman Rohani
  • Publisher : Princeton University Press
  • Release : 19 September 2011
GET THIS BOOKModeling Infectious Diseases in Humans and Animals

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

Mathematical Epidemiology of Infectious Diseases
  • Author : O. Diekmann,J. A. P. Heesterbeek
  • Publisher : John Wiley & Sons
  • Release : 07 April 2000
GET THIS BOOKMathematical Epidemiology of Infectious Diseases

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,


An Introduction to Infectious Disease Modelling

An Introduction to Infectious Disease Modelling
  • Author : Emilia Vynnycky,Richard White
  • Publisher : OUP Oxford
  • Release : 13 May 2010
GET THIS BOOKAn Introduction to Infectious Disease Modelling

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


Mathematical Models in Population Biology and Epidemiology

Mathematical Models in Population Biology and Epidemiology
  • Author : Fred Brauer,Carlos Castillo-Chavez
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2013
GET THIS BOOKMathematical Models in Population Biology and Epidemiology

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


Mathematical Tools for Understanding Infectious Disease Dynamics

Mathematical Tools for Understanding Infectious Disease Dynamics
  • Author : Odo Diekmann,Hans Heesterbeek,Tom Britton
  • Publisher : Princeton University Press
  • Release : 18 November 2012
GET THIS BOOKMathematical Tools for Understanding Infectious Disease Dynamics

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


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

Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases
  • Author : Gerardo Chowell,James M. Hyman
  • Publisher : Springer
  • Release : 27 July 2016
GET THIS BOOKMathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases

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


Encyclopedia of Infectious Diseases

Encyclopedia of Infectious Diseases
  • Author : Michel Tibayrenc
  • Publisher : John Wiley & Sons
  • Release : 31 July 2007
GET THIS BOOKEncyclopedia of Infectious Diseases

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


Trends in Infectious Diseases

Trends in Infectious Diseases
  • Author : Shailendra K. Saxena
  • Publisher : BoD – Books on Demand
  • Release : 23 April 2014
GET THIS BOOKTrends in Infectious Diseases

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.