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Mathematical models in epidemiology

Brauer, Fred.

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Mathematical models in epidemiology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical models in epidemiology/ by Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng.
Author:	Brauer, Fred.
other author:	Castillo-Chavez, Carlos.
Published:	New York, NY :Springer New York : : 2019.,
Description:	xvii, 619 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction; A prelude to mathematical epidemiology -- Simple compartmental models for disease transmission -- Endemic disease models -- Epidemic models -- Models with heterogeneous mixing -- Models for diseases transmitted by vectors -- models for tuberculosis -- Models for HIV?AIDS -- Models for influenza -- Models for Ebola -- Models for malaria -- Dengue fever and the Zika virus -- Disease transmission models withagedpendence -- Spatial structure in disease transmission models -- Epidemiological models incorporating mobility, behavior, and time scales -- Challenges, opportunities, and theoretical epidemiology.
Contained By:	Springer eBooks
Subject:	Epidemiology - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-1-4939-9828-9
ISBN:	9781493998289

Mathematical models in epidemiology
Brauer, Fred.

Mathematical models in epidemiology[electronic resource] /by Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng. - New York, NY :Springer New York :2019. - xvii, 619 p. :ill. (some col.), digital ;24 cm. - Texts in applied mathematics,v.690939-2475 ;. - Texts in applied mathematics ;v.69..

Introduction; A prelude to mathematical epidemiology -- Simple compartmental models for disease transmission -- Endemic disease models -- Epidemic models -- Models with heterogeneous mixing -- Models for diseases transmitted by vectors -- models for tuberculosis -- Models for HIV?AIDS -- Models for influenza -- Models for Ebola -- Models for malaria -- Dengue fever and the Zika virus -- Disease transmission models withagedpendence -- Spatial structure in disease transmission models -- Epidemiological models incorporating mobility, behavior, and time scales -- Challenges, opportunities, and theoretical epidemiology.

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.

ISBN: 9781493998289

Standard No.: 10.1007/978-1-4939-9828-9doiSubjects--Topical Terms:

660489
Epidemiology
--Mathematical models.

LC Class. No.: RA652.2.M3 / B738 2019

Dewey Class. No.: 614.4015118

Mathematical models in epidemiology
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100 1 $a Brauer, Fred. $3 643122
245 1 0 $a Mathematical models in epidemiology $h [electronic resource] / $c by Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2019.
300 $a xvii, 619 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Texts in applied mathematics, $x 0939-2475 ; $v v.69
505 0 $a Introduction; A prelude to mathematical epidemiology -- Simple compartmental models for disease transmission -- Endemic disease models -- Epidemic models -- Models with heterogeneous mixing -- Models for diseases transmitted by vectors -- models for tuberculosis -- Models for HIV?AIDS -- Models for influenza -- Models for Ebola -- Models for malaria -- Dengue fever and the Zika virus -- Disease transmission models withagedpendence -- Spatial structure in disease transmission models -- Epidemiological models incorporating mobility, behavior, and time scales -- Challenges, opportunities, and theoretical epidemiology.
520 $a The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.
650 0 $a Epidemiology $x Mathematical models. $3 660489
650 1 4 $a Physiological, Cellular and Medical Topics. $3 891099
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 891089
700 1 $a Castillo-Chavez, Carlos. $3 736439
700 1 $a Feng, Zhilan. $3 1949839
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Texts in applied mathematics ; $v v.69. $3 3454011
856 4 0 $u https://doi.org/10.1007/978-1-4939-9828-9
950 $a Mathematics and Statistics (Springer-11649)