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The Basic Approach to Age-Structured Population Dynamics: Models, Methods and Numerics
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Catalogue Information
Field name
Details
Dewey Class
576.58
577.88
Title
The Basic Approach to Age-Structured Population Dynamics ([EBook]) : Models, Methods and Numerics / / by Mimmo Iannelli, Fabio Milner.
Author
Iannelli, Mimmo
Added Personal Name
Milner, Fabio
author.
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 2017.
Physical Details
XII, 350 p. 77 illus., 20 illus. in color. : online resource.
Series
Lecture Notes on Mathematical Modelling in the Life Sciences
2193-4789
ISBN
9789402411461
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-94-024-1146-1
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Biomathematics
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Engineering mathematics
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Genetics and Population Dynamics
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Integral Equations
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Mathematics
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Partial differential equations
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Authors:
Iannelli, Mimmo
.
Milner, Fabio
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes on Mathematical Modelling in the Life Sciences
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Classification:
576.58
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577.88
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