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The basic approach to age-structured...

Iannelli, Mimmo.

The basic approach to age-structured population dynamicsmodels, methods and numerics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The basic approach to age-structured population dynamicsby Mimmo Iannelli, Fabio Milner.
Reminder of title:	models, methods and numerics /
Author:	Iannelli, Mimmo.
other author:	Milner, Fabio.
Published:	Dordrecht :Springer Netherlands :2017.
Description:	xii, 350 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Age distribution (Demography)
Online resource:	http://dx.doi.org/10.1007/978-94-024-1146-1
ISBN:	9789402411461$q(electronic bk.)

The basic approach to age-structured population dynamicsmodels, methods and numerics /
Iannelli, Mimmo.

The basic approach to age-structured population dynamicsmodels, methods and numerics /[electronic resource] :by Mimmo Iannelli, Fabio Milner. - Dordrecht :Springer Netherlands :2017. - xii, 350 p. :ill., digital ;24 cm. - Lecture notes on mathematical modelling in the life sciences,2193-4789. - Lecture notes on mathematical modelling in the life sciences..

1 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.

This 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.

ISBN: 9789402411461$q(electronic bk.)

Standard No.: 10.1007/978-94-024-1146-1doiSubjects--Topical Terms:

185999
Age distribution (Demography)

LC Class. No.: HB1531 / .I36 2017

Dewey Class. No.: 305.2

The basic approach to age-structured population dynamicsmodels, methods and numerics /
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520 $a This 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.
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