Bibliograph

An Introduction to Mathematical Epidemiology, by Maia Martcheva

Type

Label

An Introduction to Mathematical Epidemiology, by Maia Martcheva

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

An Introduction to Mathematical Epidemiology

Medium

electronic resource

Oclc number

932002489

Responsibility statement

by Maia Martcheva

Series statement

Texts in Applied Mathematics,, 61, 0939-2475

Summary

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

Table Of 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

Contributor