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Age-structured population dynamics in demography and epidemiology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Age-structured population dynamics in demography and epidemiology/ by Hisashi Inaba.
作者:	Inaba, Hisashi.
出版者:	Singapore :Springer Singapore : : 2017.,
面頁冊數:	xix, 555 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Stable population model. -
電子資源:	http://dx.doi.org/10.1007/978-981-10-0188-8
ISBN:	9789811001888

Age-structured population dynamics in demography and epidemiology
Inaba, Hisashi.

Age-structured population dynamics in demography and epidemiology[electronic resource] /by Hisashi Inaba. - Singapore :Springer Singapore :2017. - xix, 555 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9789811001888

Standard No.: 10.1007/978-981-10-0188-8doiSubjects--Topical Terms:

3227941
Stable population model.

LC Class. No.: HB849.55 / .I53 2017

Dewey Class. No.: 304.620724

Age-structured population dynamics in demography and epidemiology
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520 $a 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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