An Introduction to Mathematical Epidemiology
Springer-Verlag New York Inc.
978-1-4899-7832-5 (ISBN)
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.
| Erscheinungsdatum | 19.08.2017 |
|---|---|
| Reihe/Serie | Texts in Applied Mathematics ; 61 |
| Zusatzinfo | 35 Tables, black and white; 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 |
| Gewicht | 7022 g |
| Einbandart | kartoniert |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Medizin / Pharmazie ► Medizinische Fachgebiete | |
| 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 | 1-4899-7832-1 / 1489978321 |
| ISBN-13 | 978-1-4899-7832-5 / 9781489978325 |
| Zustand | Neuware |
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