Download pdf Age-Structured Population Dynamics in Demography and Epidemiology 2017
Download pdf Age-Structured Population Dynamics in Demography and Epidemiology 2017
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Author: Hisashi Inaba
Number of Pages: 500 pages
Published Date: 06 Jan 2017
Publisher: Springer Verlag, Singapore
Publication Country: Singapore, Singapore
Language: English, Japanese
ISBN: 9789811001871
File Name: Age-Structured.Population.Dynamics.in.Demography.and.Epidemiology.2017.pdf
Download Link: Age-Structured Population Dynamics in Demography and Epidemiology 2017
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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.
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Age-Structured Population Dynamics in Demography and Epidemiology 2017. Hisashi Inaba
Author: Hisashi Inaba
Number of Pages: 500 pages
Published Date: 06 Jan 2017
Publisher: Springer Verlag, Singapore
Publication Country: Singapore, Singapore
Language: English, Japanese
ISBN: 9789811001871
File Name: Age-Structured.Population.Dynamics.in.Demography.and.Epidemiology.2017.pdf
Download Link: Age-Structured Population Dynamics in Demography and Epidemiology 2017
---------------------------------------------------------------
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.
Read online Age-Structured Population Dynamics in Demography and Epidemiology 2017 Buy and read online Age-Structured Population Dynamics in Demography and Epidemiology 2017 Download Age-Structured Population Dynamics in Demography and Epidemiology 2017 for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Age-Structured Population Dynamics in Demography and Epidemiology 2017 ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
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