Overview
- Presents basic approaches to using age structure in mathematical biology models
- Extends the theory of age-structured modeling to the spread of diseases and epidemics
- Pays careful attention to mathematical rigor in demographical and epidemiological contexts
Part of the book series: Lecture Notes on Mathematical Modelling in the Life Sciences (LMML)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
- age structure
- age profile population
- population dynamics mathematical models
- population dynamics
- age-structured population modeling
- population growth model
- mathematical biology
- demographic modeling
- epidemiology population growth
- population ecology math
- mathematical modeling in biology
- mathematical population biology
- mathematical biology population dynamics
- mathematical models in medicine
- biomathematics
- partial differential equations
About this book
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 modeling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behavior 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 toAge-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.
Authors and Affiliations
About the authors
Fabio Milner obtained the degree of Licenciado en Ciencias Matemáticas in Argentina in 1976 before moving to the USA in 1978. He obtained his PhD in Numerical Analysis in 1983 from the University of Chicago and joined the faculty of Purdue University immediately thereafter. He left Purdue in 2008 as Full Professor when he joined Arizona State University as Director of Mathematics for STEM Education. He shifted the focus of his research to mathematical biology after meeting Mimmo Iannelli in 1997. Milner is the author of numerous scientific publications, including 14 articles and one book that were co-authored by Mimmo Iannelli.
Bibliographic Information
Book Title: The Basic Approach to Age-Structured Population Dynamics
Book Subtitle: Models, Methods and Numerics
Authors: Mimmo Iannelli, Fabio Milner
Series Title: Lecture Notes on Mathematical Modelling in the Life Sciences
DOI: https://doi.org/10.1007/978-94-024-1146-1
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2017
Softcover ISBN: 978-94-024-1145-4Published: 06 September 2017
eBook ISBN: 978-94-024-1146-1Published: 27 August 2017
Series ISSN: 2193-4789
Series E-ISSN: 2193-4797
Edition Number: 1
Number of Pages: XII, 350
Number of Illustrations: 57 b/w illustrations, 20 illustrations in colour
Topics: Genetics and Population Dynamics, Applications of Mathematics, Integral Equations, Partial Differential Equations