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Age-Structured Population Dynamics in Demography and Epidemiology

Authors: Inaba, Hisashi

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  • Is the first attempt to give a comprehensive, rigorous formulation of the basic demographic modelsAnalyzes 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
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eBook 107,09 €
price for Spain (gross)
  • ISBN 978-981-10-0188-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-981-10-0187-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-981-10-9098-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

About the authors

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

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 107,09 €
price for Spain (gross)
  • ISBN 978-981-10-0188-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-981-10-0187-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-981-10-9098-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Age-Structured Population Dynamics in Demography and Epidemiology
Authors
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Science+Business Media Singapore
eBook ISBN
978-981-10-0188-8
DOI
10.1007/978-981-10-0188-8
Hardcover ISBN
978-981-10-0187-1
Softcover ISBN
978-981-10-9098-1
Edition Number
1
Number of Pages
XIX, 555
Number of Illustrations
15 b/w illustrations
Topics