Age-Structured Population Dynamics in Demography and Epidemiology

Hisashi Inaba (Autor)

Buch | Softcover

555 Seiten

2018 | Softcover reprint of the original 1st ed. 2017
Springer Verlag, Singapore
978-981-10-9098-1 (ISBN)

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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.

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

1 The Stable Population Model.- 2 Extensions of the Linear Theory.- 3 Nonlinear One-Sex Models.- 4 Pair Formation Models.- 5 Basic Ideas in Epidemic Modeling.- 6 Age-Structured SIR Epidemic Model.- 7 Epidemic Models for HIV Infection.- 8 Variable Susceptibility, Reinfection and Immunity.- 9 Basic Reproduction Number R0.- 10 Mathematical Tools.

Erscheinungsdatum	18.08.2018
Zusatzinfo	15 Illustrations, black and white; XIX, 555 p. 15 illus.
Verlagsort	Singapore
Sprache	englisch
Original-Titel	Mathematical Demography
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Biologie ► Evolution
	Sozialwissenschaften ► Soziologie ► Empirische Sozialforschung
	Sozialwissenschaften ► Soziologie ► Spezielle Soziologien
Schlagworte	Age Structure • Basic Reproduction Number • Ergodic theorems • SIR Model • Stable Population Model
ISBN-10	981-10-9098-X / 981109098X
ISBN-13	978-981-10-9098-1 / 9789811090981
Zustand	Neuware