Mathematical Models for Communicable Diseases

Mathematical Models for Communicable Diseases
Author: Fred Brauer
Publisher: SIAM
Total Pages: 288
Release: 2012-01-01
Genre: Mathematics
ISBN: 9781611972429

Download Mathematical Models for Communicable Diseases Book in PDF, Epub and Kindle

This graduate-level textbook appeals to readers interested in the mathematical theory of disease transmission models. It is self-contained and accessible to readers who are comfortable with calculus, elementary differential equations, and linear algebra. The book provides insight into modeling cross-immunity between different disease strains (such as influenza) and the synergistic interactions between multiple diseases (e.g., HIV and tuberculosis); diseases transmitted by viral agents, bacteria, and vectors (e.g., mosquitos transmitting malaria to humans); and both epidemic and endemic disease occurrences.

An Introduction to Mathematical Modeling of Infectious Diseases

An Introduction to Mathematical Modeling of Infectious Diseases
Author: Michael Y. Li
Publisher: Springer
Total Pages: 163
Release: 2018-01-30
Genre: Mathematics
ISBN: 3319721224

Download An Introduction to Mathematical Modeling of Infectious Diseases Book in PDF, Epub and Kindle

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 Models for Communicable Diseases

Mathematical Models for Communicable Diseases
Author: Fred Brauer
Publisher: SIAM
Total Pages: 279
Release: 2013-02-07
Genre: Mathematics
ISBN: 1611972418

Download Mathematical Models for Communicable Diseases Book in PDF, Epub and Kindle

A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.

Mathematical Models in Epidemiology

Mathematical Models in Epidemiology
Author: Fred Brauer
Publisher: Springer Nature
Total Pages: 628
Release: 2019-10-10
Genre: Mathematics
ISBN: 1493998285

Download Mathematical Models in Epidemiology Book in PDF, Epub and Kindle

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.

Mathematical Models of Infectious Diseases and Social Issues

Mathematical Models of Infectious Diseases and Social Issues
Author: Shah, Nita H.
Publisher: IGI Global
Total Pages: 316
Release: 2020-06-26
Genre: Medical
ISBN: 1799837424

Download Mathematical Models of Infectious Diseases and Social Issues Book in PDF, Epub and Kindle

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.

Modeling Infectious Diseases in Humans and Animals

Modeling Infectious Diseases in Humans and Animals
Author: Matt J. Keeling
Publisher: Princeton University Press
Total Pages: 385
Release: 2011-09-19
Genre: Science
ISBN: 1400841038

Download Modeling Infectious Diseases in Humans and Animals Book in PDF, Epub and Kindle

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

Mathematics of Public Health

Mathematics of Public Health
Author: Jummy David
Publisher: Springer Nature
Total Pages: 324
Release: 2023-12-30
Genre: Mathematics
ISBN: 3031408055

Download Mathematics of Public Health Book in PDF, Epub and Kindle

This volume addresses SDG 3 from a mathematical standpoint, sharing novel perspectives of existing communicable disease modelling technologies of the next generation and disseminating new developments in modelling methodologies and simulation techniques. These methodologies are important for training and research in communicable diseases and can be applied to other threats to human health. The contributions contained in this collection/book cover a range of modelling techniques that have been and may be used to support decision-making on critical health related issues such as: Resource allocation Impact of climate change on communicable diseases Interaction of human behaviour change, and disease spread Disease outbreak trajectories projection Public health interventions evaluation Preparedness and mitigation of emerging and re-emerging infectious diseases outbreaks Development of vaccines and decisions around vaccine allocation and optimization The diseases and public health issues in this volume include, but are not limited to COVID-19, HIV, Influenza, antimicrobial resistance (AMR), the opioid epidemic, Lyme Disease, Zika, and Malaria. In addition, this volume compares compartmental models, agent-based models, machine learning and network. Readers have an opportunity to learn from the next generation perspective of evolving methodologies and algorithms in modelling infectious diseases, the mathematics behind them, the motivation for them, and some applications to supporting critical decisions on prevention and control of communicable diseases. This volume was compiled from the weekly seminar series organized by the Mathematics for Public Health (MfPH) Next Generation Network. This network brings together the next generation of modellers from across Canada and the world, developing the latest mathematical models, modeling methodologies, and analytical and simulation tools for communicable diseases of global public health concerns. The weekly seminar series provides a unique forum for this network and their invited guest speakers to share their perspectives on the status and future directions of mathematics of public health.

Mathematical Understanding of Infectious Disease Dynamics

Mathematical Understanding of Infectious Disease Dynamics
Author: Stefan Ma
Publisher: World Scientific
Total Pages: 240
Release: 2009
Genre: Mathematics
ISBN: 9812834834

Download Mathematical Understanding of Infectious Disease Dynamics Book in PDF, Epub and Kindle

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.

Modeling and Dynamics of Infectious Diseases

Modeling and Dynamics of Infectious Diseases
Author: Zhien Ma
Publisher: World Scientific
Total Pages: 355
Release: 2009
Genre: Medical
ISBN: 9814261254

Download Modeling and Dynamics of Infectious Diseases Book in PDF, Epub and Kindle

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.