An introduction to mathematical epidemiology / Maia Martcheva.
By: Martcheva, M., (Maia) [author]
Material type: 
TextLanguage: İngilizce Series: Texts in Applied Mathematics, 61Publisher: Boston, MA : Springer US : Imprint: Springer, 2015Edition: 1st ed. 2015Description: xiv, 453 pages ; 23 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 9781489976116Subject(s): Communicable Diseases | Microbiology | Mathematical models | Biomathematics | Genetics and Population Dynamics | Mathematical Modeling and Industrial Mathematics | MathematicsLOC classification: QH323.5| Item type | Current location | Home library | Collection | Call number | Copy number | Status | Date due | Barcode |
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Merkez Kütüphane Genel Koleksiyon / Main Collection | Merkez Kütüphane | Genel Koleksiyon | QH323.5 M38 2015 (Browse shelf) | 1 | Available | 0059121 | |
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Merkez Kütüphane Genel Koleksiyon / Main Collection | Merkez Kütüphane | Genel Koleksiyon | QH323.5 M38 2015 c.2 (Browse shelf) | 2 | Available | 0059122 |
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| QH323.5 .L33 2008 Laboratory manual of biomathematics / | QH323.5 .L64 2009 Mathematical methods in biology / | QH323.5 M38 2015 An introduction to mathematical epidemiology / | QH323.5 M38 2015 c.2 An introduction to mathematical epidemiology / | QH323.5 .M85 2015 Methods and models in mathematical biology : deterministic and stochastic approaches / | QH323.5 .M85 2015 c.2 Methods and models in mathematical biology : deterministic and stochastic approaches / | QH323.5 .M88 2003 Mathematical biology / |
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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