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024 7 _a10.1007/978-94-024-1146-1
_2doi
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082 0 4 _a577.88
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100 1 _aIannelli, Mimmo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Basic Approach to Age-Structured Population Dynamics
_h[electronic resource] :
_bModels, Methods and Numerics /
_cby Mimmo Iannelli, Fabio Milner.
250 _a1st ed. 2017.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2017.
300 _aXII, 350 p. 77 illus., 20 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes on Mathematical Modelling in the Life Sciences,
_x2193-4789
505 0 _a1 Why Age Structure? An Introduction -- 2 The Basic Linear Theory -- 3 Numerical Methods for the Linear Model -- 4 The Time-Dependent Case -- 5 Nonlinear Models -- 6 Stability of Equilibria -- 7 Numerical Methods for the Nonlinear Model -- 8 Global Behavior -- 9 Class-Age Structure for Epidemics -- 10 Epidemics and Demography -- A The Laplace Transform -- B Integral Equations Theory. References.
520 _aThis book provides an introduction to age-structured population modeling which emphasises the connection between mathematical theory and underlying biological assumptions. Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology, and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modelling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behaviour of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics. The Basic Approach to Age-Structured Population Dynamics will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.
650 0 _aBiomathematics.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aIntegral equations.
650 0 _aPartial differential equations.
650 1 4 _aGenetics and Population Dynamics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M31010
650 2 4 _aApplications of Mathematics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M13003
650 2 4 _aIntegral Equations.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12090
650 2 4 _aPartial Differential Equations.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12155
700 1 _aMilner, Fabio.
830 0 _aLecture Notes on Mathematical Modelling in the Life Sciences,
_x2193-4789
856 4 0 _uhttps://doi.org/10.1007/978-94-024-1146-1
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
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999 _c207130
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