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035   $a(DE-He213)978-94-024-1146-1
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035   $a(PPN)203848411
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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Basic Approach to Age-Structured Population Dynamics $eModels, Methods and Numerics /$fby Mimmo Iannelli, Fabio Milner
205   $a1st ed. 2017.
210  1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2017.
215   $a1 online resource (XII, 350 p. 77 illus., 20 illus. in color.) 
225 1 $aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4789
311   $a94-024-1145-3 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $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.
330   $aThis book provides an introduction to age-structured population modeling which emphasises the connection between mathematical theory and underlying biological assumptions. Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology, and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modelling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behaviour of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics. The Basic Approach to Age-Structured Population Dynamics will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.
410  0$aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4789
606   $aBiomathematics
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aIntegral equations
606   $aPartial differential equations
606   $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
606   $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aBiomathematics.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aIntegral equations.
615  0$aPartial differential equations.
615 14$aGenetics and Population Dynamics.
615 24$aApplications of Mathematics.
615 24$aIntegral Equations.
615 24$aPartial Differential Equations.
676   $a576.58
676   $a577.88
700   $aIannelli$b Mimmo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0149805
702   $aMilner$b Fabio$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910254306903321
996   $aThe Basic Approach to Age-Structured Population Dynamics$92129522
997   $aUNINA