東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Age-structured population dynamics i...

SpringerLink (Online service)

Linked to FindBook

Google Book

Amazon

博客來

Age-structured population dynamics in demography and epidemiology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Age-structured population dynamics in demography and epidemiology/ by Hisashi Inaba.
Author:	Inaba, Hisashi.
Published:	Singapore :Springer Singapore : : 2017.,
Description:	xix, 555 p. :ill., digital ;24 cm.
[NT 15003449]:	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
Subject:	Stable population model. -
Online resource:	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
LDR:02907nmm a2200313 a 4500 001 2093257
003 DE-He213
005 20170315141410.0
006 m d
007 cr nn 008maaau
008 171117s2017 si s 0 eng d
020 $a 9789811001888 $q (electronic bk.)
020 $a 9789811001871 $q (paper)
024 7 $a 10.1007/978-981-10-0188-8 $2 doi
035 $a 978-981-10-0188-8
040 $a GP $c GP
041 0 $a eng
050 4 $a HB849.55 $b .I53 2017
072 7 $a JHBD $2 bicssc
072 7 $a SOC006000 $2 bisacsh
082 0 4 $a 304.620724 $2 23
090 $a HB849.55 $b .I35 2017
100 1 $a Inaba, Hisashi. $3 3227940
245 1 0 $a Age-structured population dynamics in demography and epidemiology $h [electronic resource] / $c by Hisashi Inaba.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2017.
300 $a xix, 555 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
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.
650 0 $a Stable population model. $3 3227941
650 1 4 $a Social Sciences. $3 786955
650 2 4 $a Demography. $3 614991
650 2 4 $a Aging. $3 543123
650 2 4 $a Genetics and Population Dynamics. $3 896052
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-0188-8
950 $a Social Sciences (Springer-41176)