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1005114704 |
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| 100 |
1 |
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|a Iannelli, Mimmo,
|e author.
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| 245 |
1 |
4 |
|a The Basic Approach to Age-Structured Population Dynamics :
|b Models, Methods and Numerics /
|c by Mimmo Iannelli, Fabio Milner.
|
| 264 |
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1 |
|a Dordrecht :
|b Springer Netherlands :
|b Imprint :
|b Springer,
|c 2017.
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| 300 |
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|a 1 online resource (xii, 350 pages 77 illustrations, 20 illustrations in color).
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| 336 |
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|a text
|b txt
|2 rdacontent.
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| 337 |
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|a computer
|b c
|2 rdamedia.
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| 338 |
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|a online resource
|b cr
|2 rdacarrier.
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| 347 |
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|a text file
|b PDF
|2 rda.
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| 490 |
1 |
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|a Lecture Notes on Mathematical Modelling in the Life Sciences,
|x 2193-4789.
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| 505 |
0 |
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|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 |
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|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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| 504 |
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|a Includes bibliographical references at the end of each chapters and index.
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| 650 |
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0 |
|a Mathematics.
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| 650 |
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|a Integral equations.
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| 650 |
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|a Differential equations, Partial.
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| 650 |
|
0 |
|a Applied mathematics.
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| 650 |
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0 |
|a Engineering mathematics.
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| 650 |
|
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|a Biomathematics.
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| 650 |
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2 |
|a Mathematics.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Population genetics.
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| 650 |
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4 |
|a Applications of Mathematics.
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| 650 |
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|a Integral equations.
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| 650 |
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|a Differential equations, Partial.
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| 650 |
|
6 |
|a Mathématiques.
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| 650 |
|
6 |
|a Équations intégrales.
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| 650 |
|
6 |
|a Équations aux dérivées partielles.
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| 650 |
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6 |
|a Mathématiques de l'ingénieur.
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| 650 |
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6 |
|a Biomathématiques.
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| 650 |
|
7 |
|a SOCIAL SCIENCE
|x Discrimination & Race Relations.
|2 bisacsh.
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| 650 |
|
7 |
|a SOCIAL SCIENCE
|x Minority Studies.
|2 bisacsh.
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| 650 |
|
7 |
|a Matemáticas.
|2 embne.
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| 650 |
|
7 |
|a Ecuaciones integrales.
|2 embne.
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| 650 |
|
7 |
|a Mathematics.
|2 fast.
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| 650 |
|
7 |
|a Integral equations.
|2 fast.
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| 650 |
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7 |
|a Biomathematics.
|2 fast.
|
| 650 |
|
7 |
|a Differential equations, Partial.
|2 fast.
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| 650 |
|
7 |
|a Engineering mathematics.
|2 fast.
|
| 655 |
|
7 |
|a Statistics.
|2 fast.
|
| 700 |
1 |
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|a Milner, F. A.
|q (Fabio Augusto),
|d 1954-
|1 https://id.oclc.org/worldcat/entity/E39PCjCcBkCVTFhWcmHB4Yyb8d,
|e author.
|
| 710 |
2 |
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|a SpringerLink (Online service)
|
| 776 |
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|i Printed edition:
|z 9789402411454.
|
| 830 |
|
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|a Lecture notes on mathematical modelling in the life sciences.
|x 2193-4789.
|
| 880 |
8 |
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|6 505-00/(S
|a 2 The Basic Linear Theory2.1 The Lotka-McKendrick Equation; 2.2 The Renewal Equation; 2.3 Existence of a Solution; 2.4 Regularity; 2.5 The Asymptotic Behavior; 2.6 The Age Profile; 2.7 The Open Population; 2.8 Infinite Maximum Age; 2.9 The Leslie Matrix; 2.10 Eigenvalues, Eigenvectors and the Characteristic Equation; 2.11 Comments and References; References; 3 Numerical Methods for the Linear Model; 3.1 The Methodology of Characteristics; 3.2 Euler-Riemann Methods; 3.3 Convergence of ER Methods; 3.4 Higher-Order Methods; 3.5 Unbounded Mortality Rates; 3.6 Approximation of R and Ü*
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