國立虎尾科技大學 |

The basic approach to age-structured population dynamics = models, methods and numerics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The basic approach to age-structured population dynamics/ by Mimmo Iannelli, Fabio Milner.
其他題名:	models, methods and numerics /
作者:	Iannelli, Mimmo.
其他作者:	Milner, Fabio.
出版者:	Dordrecht :Springer Netherlands : : 2017.,
面頁冊數:	xii, 350 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Age distribution (Demography) -
電子資源:	http://dx.doi.org/10.1007/978-94-024-1146-1
ISBN:	9789402411461

The basic approach to age-structured population dynamics = models, 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

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

898114
Age distribution (Demography)

LC Class. No.: HB1531 / .I36 2017

Dewey Class. No.: 305.2

The basic approach to age-structured population dynamics = models, methods and numerics /
LDR:02667nam a2200325 a 4500 001 923769
003 DE-He213
005 20180319113158.0
006 m d
007 cr nn 008maaau
008 190625s2017 ne s 0 eng d
020 $a 9789402411461 $q (electronic bk.)
020 $a 9789402411454 $q (paper)
024 7 $a 10.1007/978-94-024-1146-1 $2 doi
035 $a 978-94-024-1146-1
040 $a GP $c GP
041 0 $a eng
050 4 $a HB1531 $b .I36 2017
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 305.2 $2 23
090 $a HB1531 $b .I11 2017
100 1 $a Iannelli, Mimmo. $3 528606
245 1 4 $a The basic approach to age-structured population dynamics $h [electronic resource] : $b models, methods and numerics / $c by Mimmo Iannelli, Fabio Milner.
260 $a Dordrecht : $c 2017. $b Springer Netherlands : $b Imprint: Springer,
300 $a xii, 350 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes on mathematical modelling in the life sciences, $x 2193-4789
505 0 $a 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.
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.
650 0 $a Age distribution (Demography) $3 898114
650 0 $a Population $x Mathematical models. $3 527719
650 0 $a Demography $x Mathematical models. $3 672059
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Genetics and Population Dynamics. $3 670124
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Integral Equations. $3 672359
650 2 4 $a Partial Differential Equations. $3 671119
700 1 $a Milner, Fabio. $3 1200337
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Lecture notes on mathematical modelling in the life sciences. $3 1021375
856 4 0 $u http://dx.doi.org/10.1007/978-94-024-1146-1
950 $a Mathematics and Statistics (Springer-11649)