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The Basic Approach to Age-Structured Population Dynamics

Models, Methods and Numerics

  • Mimmo Iannelli
  • Fabio Milner

Table of contents

  1. Front Matter
    Pages i-xii
  2. Mimmo Iannelli, Fabio Milner
    Pages 1-48
  3. Mimmo Iannelli, Fabio Milner
    Pages 49-87
  4. Mimmo Iannelli, Fabio Milner
    Pages 89-122
  5. Mimmo Iannelli, Fabio Milner
    Pages 123-140
  6. Mimmo Iannelli, Fabio Milner
    Pages 141-172
  7. Mimmo Iannelli, Fabio Milner
    Pages 173-200
  8. Mimmo Iannelli, Fabio Milner
    Pages 201-217
  9. Mimmo Iannelli, Fabio Milner
    Pages 219-240
  10. Mimmo Iannelli, Fabio Milner
    Pages 241-276
  11. Mimmo Iannelli, Fabio Milner
    Pages 277-319
  12. Back Matter
    Pages 321-350

About this book

Introduction

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.

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

Authors and affiliations

  • Mimmo Iannelli
    • 1
  • Fabio Milner
    • 2
  1. 1.Department of MathematicsUniversity of Trento TrentoItaly
  2. 2.School of Mathematical and Statistical SciencesArizona State University TempeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-024-1146-1
  • Copyright Information Springer Science+Business Media B.V. 2017
  • Publisher Name Springer, Dordrecht
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-94-024-1145-4
  • Online ISBN 978-94-024-1146-1
  • Series Print ISSN 2193-4789
  • Series Online ISSN 2193-4797
  • Buy this book on publisher's site