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＜電子ブック＞
The Basic Approach to Age-Structured Population Dynamics : Models, Methods and Numerics / by Mimmo Iannelli, Fabio Milner
(Lecture Notes on Mathematical Modelling in the Life Sciences. ISSN:21934797)

版	1st ed. 2017.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2017
本文言語	英語
大きさ	XII, 350 p. 77 illus., 20 illus. in color : online resource
著者標目	*Iannelli, Mimmo author Milner, Fabio author SpringerLink (Online service)
件　名	LCSH:Population genetics LCSH:Mathematics LCSH:Integral equations LCSH:Differential equations FREE:Population Genetics FREE:Applications of Mathematics FREE:Integral Equations FREE:Differential Equations
一般注記	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 Approachto 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 HTTP:URL=https://doi.org/10.1007/978-94-024-1146-1

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