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＜電子ブック＞
An Introduction to Mathematical Epidemiology / by Maia Martcheva
(Texts in Applied Mathematics. ISSN:21969949 ; 61)

版	1st ed. 2015.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2015
本文言語	英語
大きさ	XIV, 453 p. 103 illus., 60 illus. in color : online resource
著者標目	*Martcheva, Maia author SpringerLink (Online service)
件　名	LCSH:Population genetics LCSH:Microbiology LCSH:Diseases LCSH:Mathematical models FREE:Population Genetics FREE:Microbiology FREE:Diseases FREE:Mathematical Modeling and Industrial Mathematics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4899-7612-3

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