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An Introduction to Mathematical Epidemiology:

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...

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Dettagli Bibliografici
Autore principale: Martcheva, Maia
Natura: Printed Book
Edizione:1st ed. 2015.
Serie:Texts in Applied Mathematics,
Soggetti:
LEADER 02239cam a22002775i 4500
020 |a 9781489976116 
082 0 4 |a 576.58 
082 0 4 |a 519.8   |b MAR 
100 1 |a Martcheva, Maia 
245 1 3 |a An Introduction to Mathematical Epidemiology:  |c Maia, Martcheva 
250 |a 1st ed. 2015. 
300 |a 1 online resource (XIV, 453 pages 103 illustrations, 60 illustrations in color.) 
490 1 |a Texts in Applied Mathematics, 
505 0 |a 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. 
520 |a 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. 
650 0 |a Biomathematics. 
650 0 |a Microbiology. 
650 0 |a Infectious diseases. 
650 0 |a Mathematical models. 
650 1 4 |a Genetics and Population Dynamics. 
650 2 4 |a Microbiology. 
650 2 4 |a Infectious Diseases. 
650 2 4 |a Mathematical Modeling and Industrial Mathematics. 
942 |c BK 
999 |c 314250  |d 314250 
952 |0 0  |1 0  |4 0  |6 519_800000000000000_MAR_A  |7 0  |8 NFIC  |9 336044  |a DEM  |b DEM  |d 2020-11-25  |l 0  |o 519.8 MAR/A  |p DEM7291  |r 2020-11-25  |w 2020-11-25  |y BK