An Introduction to Mathematical Epidemiology - Maia Martcheva

An Introduction to Mathematical Epidemiology

(Autor)

Buch | Hardcover
453 Seiten
2015 | 1st ed. 2015
Springer-Verlag New York Inc.
978-1-4899-7611-6 (ISBN)
85,59 inkl. MwSt
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. 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.
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.

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.

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.

Erscheint lt. Verlag 21.10.2015
Reihe/Serie Texts in Applied Mathematics ; 61
Zusatzinfo 60 Illustrations, color; 43 Illustrations, black and white; XIV, 453 p. 103 illus., 60 illus. in color.
Verlagsort New York
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Studium Querschnittsbereiche Epidemiologie / Med. Biometrie
Studium Querschnittsbereiche Infektiologie / Immunologie
Naturwissenschaften Biologie Evolution
Naturwissenschaften Biologie Genetik / Molekularbiologie
Naturwissenschaften Biologie Mikrobiologie / Immunologie
Schlagworte Data Fitting • Epidemic Modeling • Infectious Diseases • Mathematical epidemiology • Mathematical Modeling • Ordinary differential equations • population dynamics
ISBN-10 1-4899-7611-6 / 1489976116
ISBN-13 978-1-4899-7611-6 / 9781489976116
Zustand Neuware
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