000 02498nam a22003855i 4500
999 _c200434726
_d52938
001 200434726
003 TR-AnTOB
005 20241115154318.0
008 151020s2015 xxu s 001 0|eng d
020 _a9781489976116
040 _aTR-AnTOB
_beng
_erda
_cTR-AnTOB
041 1 _aeng
050 1 _aQH323.5
090 _aQH323.5
_bM38 2015
100 1 _aMartcheva, M.,
_q(Maia)
_eauthor
_9123948
245 1 3 _aAn introduction to mathematical epidemiology /
_cMaia Martcheva.
250 _a1st ed. 2015.
264 1 _aBoston, MA :
_bSpringer US :
_bImprint: Springer,
_c2015.
300 _axiv, 453 pages ;
_c23 cm
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
490 0 _aTexts in Applied Mathematics,
_x0939-2475 ;
_v61
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 2 _aCommunicable Diseases
_9144081
650 2 _aMicrobiology
_9120723
650 0 _aMathematical models
_923766
650 0 _aBiomathematics
_92724
650 2 4 _aGenetics and Population Dynamics.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 0 _aMathematics
_9234
942 _2lcc
_cBK