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Bücher Englische Bücher Wissen & Bildung Sozialwissenschaft, Recht, Wirtschaft Soziologie Politische Soziologie Age-Structured Population Dynamics in Demography and Epidemiology
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Age-Structured Population Dynamics in Demography and Epidemiology
Hisashi Inaba (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.03.2017
Sprache
Englisch
EAN
9789811001871
Herausgeber
Springer Singapore
Sonderedition
Nein
Autor
Hisashi Inaba
Seitenanzahl
555
Auflage
1
Einbandart
Gebundene Ausgabe
Autorenporträt
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
Schlagwörter
Age Structure, Stable Population Model, SIR Model, Basic Reproduction Number, Ergodic Theorems
Thema-Inhalt
JHBD - Bevölkerung und Demographie
PSA - Biowissenschaften, allgemein
PSAJ - Evolution
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Palgrave Macmillan, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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