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Introduction to Mathematical Epidemiology
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MORE ABOUT THIS BOOK

Main description:

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.


Feature:

​A comprehensive introduction to mathematical epidemiology accelerating from beginner to advanced research level

Provides detailed introduction to applied dynamical systems while linking to epidemiological concepts

Uses data to complement model development and analysis​

Highly illustrated with exercises included at the end of each chapter

Includes code in MATLAB for simulations and fitting


Back cover:

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.


Contents:

Introduction.- Introduction to Epidemic Modeling.- The SIR Model with Demography: General Properties of Planar Systems.- Vector-Borne Diseases.- Techniques for Computing R0.- Fitting Models to Data.- Analysis of Complex ODE Epidemic Models: Global Stability.- Multi-strain Disease Dynamics.- Control Strategies.- Ecological Context of Epidemiology.- Zoonotic Disease, Avian Influenza and Non-autonomous Models.- Age-structured Epidemic Models.- Class-age Structured Epidemic Models.- Immuno-Epidemiological Modeling.- Spatial Heterogeneity in Epidemiological Models.- Discrete Epidemic Models.


PRODUCT DETAILS

ISBN-13: 9781489976123
Publisher: Springer (Springer US)
Publication date: October, 2015
Pages: 440

Subcategories: Epidemiology

MEET THE AUTHOR

Maia Martcheva is a Professor in the Department of Mathematics at the University of Florida, USA.  Her areas of interest and research include: epidemic models of multi-strain interactions, spatial epidemic modeling, immunological modeling, and immune-epidemiological modeling.