Skip to main content
SpringerLink
Log in

Age-Structured Population Dynamics in Demography and Epidemiology

  • Book
  • © 2017

Overview

Authors:
  1. Hisashi Inaba

    1. The University of Tokyo, Tokyo, Japan

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Is the first attempt to give a comprehensive, rigorous formulation of the basic demographic models
  • Analyzes structured epidemic models from the demographic point of view as the renewal process of individuals, providing a unified perspective for this research field
  • Provides an appendix containing the universal theory of the basic reproduction number with its extensions, which is a common key idea in demography and epidemiology
  • Includes supplementary material: sn.pub/extras

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. The Stable Population Model

    • Hisashi Inaba
    Pages 1-74

  3. Extensions of the Linear Theory

    • Hisashi Inaba
    Pages 75-137

  4. Nonlinear One-Sex Models

    • Hisashi Inaba
    Pages 139-179

  5. Pair Formation Models

    • Hisashi Inaba
    Pages 181-218

  6. Basic Ideas in Epidemic Modeling

    • Hisashi Inaba
    Pages 219-286

  7. Age-Structured SIR Epidemic Model

    • Hisashi Inaba
    Pages 287-331

  8. Epidemic Models for HIV Infection

    • Hisashi Inaba
    Pages 333-377

  9. Variable Susceptibility, Reinfection, and Immunity

    • Hisashi Inaba
    Pages 379-442

  10. Basic Reproduction Number \(R_0\)

    • Hisashi Inaba
    Pages 443-501

  11. Mathematical Tools

    • Hisashi Inaba
    Pages 503-549

  12. Back Matter

    Pages 551-555
    Download chapter PDF
Back to top

Keywords

About this book

This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the basic reproduction number, which is also a most important key index in demography. The author develops a universal theory of the basic reproduction number in heterogeneous environments. By introducing the host age structure, epidemic models are developed into more realistic demographic formulations, which are essentially needed to attack urgent epidemiological control problems in the real world.

Reviews

“This well-written book is a recommendation for every researcher who is interested in a comprehensive and rigorous mathematical treatment of age-structured population dynamics.” (W. Huyer, Monatshefte für Mathematik, Vol. 192 (1), 2020)

Authors and Affiliations

  • The University of Tokyo, Tokyo, Japan

    Hisashi Inaba

About the author

Hisashi Inaba, Professor, Graduate School of Mathematical Sciences, The University  of Tokyo, 3-8-1 Komaba Meguro-ku Tokyo 153-8914 Japan
inaba@ms.u-tokyo.ac.jp

Bibliographic Information

  • Book Title: Age-Structured Population Dynamics in Demography and Epidemiology

  • Authors: Hisashi Inaba

  • DOI: https://doi.org/10.1007/978-981-10-0188-8

  • Publisher: Springer Singapore

  • eBook Packages: Social Sciences, Social Sciences (R0)

  • Copyright Information: Springer Science+Business Media Singapore 2017

  • Hardcover ISBN: 978-981-10-0187-1Published: 23 March 2017

  • Softcover ISBN: 978-981-10-9098-1Published: 25 July 2018

  • eBook ISBN: 978-981-10-0188-8Published: 15 March 2017

  • Edition Number: 1

  • Number of Pages: XIX, 555

  • Number of Illustrations: 15 b/w illustrations

  • Topics: Demography, Aging, Genetics and Population Dynamics

Publish with us

Policies and ethics

Back to top

Search

Navigation