000 | 03863nam a22005535i 4500 | ||
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001 | 978-94-024-1146-1 | ||
003 | DE-He213 | ||
005 | 20200812133350.0 | ||
007 | cr nn 008mamaa | ||
008 | 170828s2017 ne | s |||| 0|eng d | ||
020 |
_a9789402411461 _9978-94-024-1146-1 |
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024 | 7 |
_a10.1007/978-94-024-1146-1 _2doi |
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040 | _cCUS | ||
050 | 4 | _aQH323.5 | |
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_aPBW _2bicssc |
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_aMAT003000 _2bisacsh |
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_aPBW _2thema |
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_a576.58 _223 |
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_a577.88 _223 |
100 | 1 |
_aIannelli, Mimmo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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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. |
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300 |
_aXII, 350 p. 77 illus., 20 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes on Mathematical Modelling in the Life Sciences, _x2193-4789 |
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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 | ||
942 | _cEBK | ||
999 |
_c207130 _d207130 |