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003 IIITD
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006 m |o d |
007 cr |||||||||||
008 151020s2015 xxu|||| o |||| 0|eng
010 _a 2019741628
020 _a9781489978325
024 7 _a10.1007/978-1-4899-7612-3
_2doi
035 _a(DE-He213)978-1-4899-7612-3
040 _aDLC
_beng
_epn
_erda
_cDLC
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
082 0 4 _a576.58
_bMAR-I
100 1 _aMartcheva, Maia.
245 1 3 _aAn introduction to mathematical epidemiology
_cby Maia Martcheva.
260 _aLondon :
_bSpringer,
_c©2015
300 _axiv, 453 p. :
_bill. ;
_c24 cm
490 _aTexts in applied mathematics,
_vvol. 61
505 0 _aIntroduction -- 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 _aThe 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 _aBiomathematics.
650 0 _aMicrobiology.
650 0 _aInfectious diseases.
650 0 _aMathematical models.
650 1 4 _aGenetics and Population Dynamics.
650 2 4 _aMicrobiology.
650 2 4 _aInfectious Diseases.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
776 0 8 _iPrinted edition:
_z9781489976116
776 0 8 _iPrinted edition:
_z9781489976130
906 _a0
_bibc
_corigres
_du
_encip
_f20
_gy-gencatlg
942 _2ddc
_cBK
_01
999 _c156347
_d156347