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An Introduction to Mathematical Epidemiology

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An Introduction to Mathematical Epidemiology/ by Maia Martcheva.
Author:	Martcheva, Maia.
Description:	XIV, 453 p. 103 illus., 60 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Biomathematics. -
Online resource:	https://doi.org/10.1007/978-1-4899-7612-3
ISBN:	9781489976123

An Introduction to Mathematical Epidemiology
Martcheva, Maia.

An Introduction to Mathematical Epidemiology[electronic resource] /by Maia Martcheva. - 1st ed. 2015. - XIV, 453 p. 103 illus., 60 illus. in color.online resource. - Texts in Applied Mathematics,610939-2475 ;. - Texts in Applied Mathematics,59.

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.

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.

ISBN: 9781489976123

Standard No.: 10.1007/978-1-4899-7612-3doiSubjects--Topical Terms:

527725
Biomathematics.

LC Class. No.: QH323.5

Dewey Class. No.: 576.58

An Introduction to Mathematical Epidemiology
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505 0 $a 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.
520 $a 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.
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