An introduction to mathematical epidemiology
Material type:
TextSeries: Texts in applied mathematics ; vol. 61Publication details: London : Springer, ©2015Description: xiv, 453 p. : ill. ; 24 cmISBN: - 9781489978325
- 576.58 MAR-I
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IIITD Reference | Mathematics | CB 576.58 MAR-I (Browse shelf(Opens below)) | Available | Book from DBT Project grant | 010475 |
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| CB 530.11 SMI-E Energy : a beginner's guide | CB 570.151 DAT-S Statistical analysis of next generation sequencing data | CB 570.151 DAT-S Statistical analysis of next generation sequencing data | CB 576.58 MAR-I An introduction to mathematical epidemiology | REF 510 BER-W Winning ways for your mathematical plays, vol I | REF 510 DIA-M Magical mathematics : | REF 510 HEN-T Proof and the pudding : |
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.
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