Introduction to mathematical epidemiology / Maia Martcheva.

Author/creator Martcheva, M.
Format Electronic
Publication InfoNew York : Springer, [2015]
Descriptionxiv, 453 pages : illustrations ; 25 cm
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International
Subjects

SeriesTexts in applied mathematics, 0939-2475 ; v. 61
Texts in applied mathematics ; 61. 0939-2475
Contents 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.
Abstract 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.
Bibliography noteIncludes bibliographical references (p. 441-448) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2015947259
ISBN1489976116 (alk. paper)
ISBN9781489976116 (alk. paper)

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