An Introduction to Mathematical Epidemiology

Specificaties
Gebonden, blz. | Engels
Springer US | e druk, 2015
ISBN13: 9781489976116
Rubricering
Springer US e druk, 2015 9781489976116
Onderdeel van serie Texts in Applied Mathematics
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Samenvatting

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.

Specificaties

ISBN13:9781489976116
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer US

Inhoudsopgave

<p>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.</p>

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        An Introduction to Mathematical Epidemiology