Coverart for item
The Resource Mathematical models in epidemiology, Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng

Mathematical models in epidemiology, Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng

Label
Mathematical models in epidemiology
Title
Mathematical models in epidemiology
Statement of responsibility
Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Brauer, Fred
Dewey number
614.4015/118
Illustrations
illustrations
Index
index present
LC call number
RA652.2.M3
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1959-
http://library.link/vocab/relatedWorkOrContributorName
  • Castillo-Chávez, Carlos
  • Feng, Zhilan
Series statement
Texts in applied mathematics,
Series volume
volume 69
http://library.link/vocab/subjectName
Epidemiology
Label
Mathematical models in epidemiology, Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Foreword; Preface; Acknowledgments; Contents; Part I Basic Concepts of Mathematical Epidemiology; 1 Introduction: A Prelude to Mathematical Epidemiology; 1.1 Introduction; 1.2 Some History; 1.2.1 The Beginnings of Compartmental Models; 1.2.2 Stochastic Models; 1.2.3 Developments in Compartmental Models; 1.2.4 Endemic Disease Models; 1.2.5 Diseases Transmitted by Vectors; 1.2.6 Heterogeneity of Mixing; 1.3 Strategic Models and This Volume; References; 2 Simple Compartmental Models for Disease Transmission; 2.1 Introduction to Compartmental Models; 2.2 The SIS Model
  • 2.3 The SIR Model with Births and Deaths2.4 The Simple Kermack-McKendrick Epidemic Model; 2.5 Epidemic Models with Deaths due to Disease; 2.6 *Project: Discrete Epidemic Models; 2.7 *Project: Pulse Vaccination; 2.8 *Project: A Model with Competing Disease Strains; 2.9 Project: An Epidemic Model in Two Patches; 2.10 Project: Fitting Data for an Influenza Model; 2.11 Project: Social Interactions; 2.12 Exercises; References; 3 Endemic Disease Models; 3.1 More Complicated Endemic Disease Models; 3.1.1 Exposed Periods; 3.1.2 A Treatment Model; 3.1.3 Vertical Transmission
  • 3.2 Some Applications of the SIR Model3.2.1 Herd Immunity; 3.2.2 Age at Infection; 3.2.3 The Inter-Epidemic Period; 3.2.4 È̀pidemic'' Approach to Endemic Equilibrium; 3.3 Temporary Immunity; 3.3.1 *Delay in an SIRS Model; 3.4 A Simple Model with Multiple Endemic Equilibria; 3.5 A Vaccination Model: Backward Bifurcations; 3.5.1 The Bifurcation Curve; 3.6 *An SEIR Model with General Disease Stage Distributions; 3.6.1 *Incorporation of Quarantine and Isolation; 3.6.2 *The Reduced Model of (3.42) Under GDA; 3.6.3 *Comparison of EDM and GDM; 3.7 Diseases in Exponentially Growing Populations
  • 3.8 Project: Population Growth and Epidemics3.9 *Project: An Environmentally Driven Infectious Disease; 3.10 *Project: A Two-Strain Model with Cross Immunity; 3.11 Exercises; References; 4 Epidemic Models; 4.1 A Branching Process Disease Outbreak Model; 4.1.1 Transmissibility; 4.2 Network and Compartmental Epidemic Models; 4.3 More Complicated Epidemic Models; 4.3.1 Exposed Periods; 4.3.2 A Treatment Model; 4.3.3 An Influenza Model; 4.3.4 A Quarantine-Isolation Model; 4.4 An SIR Model with a General Infectious Period Distribution; 4.5 The Age of Infection Epidemic Model
  • 4.5.1 A General SEIR Model4.5.2 A General Treatment Model; 4.5.3 A General Quarantine/Isolation Epidemic Model; 4.6 The Gamma Distribution; 4.7 Interpretation of Data and Parametrization; 4.7.1 Models of SIR Type; 4.7.2 Models of SEIR Type; 4.7.3 Mean Generation Time; 4.8 *Effect of Timing of Control Programs on EpidemicFinal Size; 4.9 Directions for Generalization; 4.10 Some Warnings; 4.11 *Project: A Discrete Model with Quarantine and Isolation; 4.12 Project: Epidemic Models with Direct and IndirectTransmission; 4.13 Exercises; References; 5 Models with Heterogeneous Mixing
Dimensions
unknown
Extent
1 online resource (xvii, 619 pages)
File format
unknown
Form of item
online
Isbn
9781493998265
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-1-4939-9828-9
  • 10.1007/978-1-4939-9
Other physical details
illustrations (some color).
http://library.link/vocab/ext/overdrive/overdriveId
com.springer.onix.9781493998289
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1122932366
Label
Mathematical models in epidemiology, Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Foreword; Preface; Acknowledgments; Contents; Part I Basic Concepts of Mathematical Epidemiology; 1 Introduction: A Prelude to Mathematical Epidemiology; 1.1 Introduction; 1.2 Some History; 1.2.1 The Beginnings of Compartmental Models; 1.2.2 Stochastic Models; 1.2.3 Developments in Compartmental Models; 1.2.4 Endemic Disease Models; 1.2.5 Diseases Transmitted by Vectors; 1.2.6 Heterogeneity of Mixing; 1.3 Strategic Models and This Volume; References; 2 Simple Compartmental Models for Disease Transmission; 2.1 Introduction to Compartmental Models; 2.2 The SIS Model
  • 2.3 The SIR Model with Births and Deaths2.4 The Simple Kermack-McKendrick Epidemic Model; 2.5 Epidemic Models with Deaths due to Disease; 2.6 *Project: Discrete Epidemic Models; 2.7 *Project: Pulse Vaccination; 2.8 *Project: A Model with Competing Disease Strains; 2.9 Project: An Epidemic Model in Two Patches; 2.10 Project: Fitting Data for an Influenza Model; 2.11 Project: Social Interactions; 2.12 Exercises; References; 3 Endemic Disease Models; 3.1 More Complicated Endemic Disease Models; 3.1.1 Exposed Periods; 3.1.2 A Treatment Model; 3.1.3 Vertical Transmission
  • 3.2 Some Applications of the SIR Model3.2.1 Herd Immunity; 3.2.2 Age at Infection; 3.2.3 The Inter-Epidemic Period; 3.2.4 È̀pidemic'' Approach to Endemic Equilibrium; 3.3 Temporary Immunity; 3.3.1 *Delay in an SIRS Model; 3.4 A Simple Model with Multiple Endemic Equilibria; 3.5 A Vaccination Model: Backward Bifurcations; 3.5.1 The Bifurcation Curve; 3.6 *An SEIR Model with General Disease Stage Distributions; 3.6.1 *Incorporation of Quarantine and Isolation; 3.6.2 *The Reduced Model of (3.42) Under GDA; 3.6.3 *Comparison of EDM and GDM; 3.7 Diseases in Exponentially Growing Populations
  • 3.8 Project: Population Growth and Epidemics3.9 *Project: An Environmentally Driven Infectious Disease; 3.10 *Project: A Two-Strain Model with Cross Immunity; 3.11 Exercises; References; 4 Epidemic Models; 4.1 A Branching Process Disease Outbreak Model; 4.1.1 Transmissibility; 4.2 Network and Compartmental Epidemic Models; 4.3 More Complicated Epidemic Models; 4.3.1 Exposed Periods; 4.3.2 A Treatment Model; 4.3.3 An Influenza Model; 4.3.4 A Quarantine-Isolation Model; 4.4 An SIR Model with a General Infectious Period Distribution; 4.5 The Age of Infection Epidemic Model
  • 4.5.1 A General SEIR Model4.5.2 A General Treatment Model; 4.5.3 A General Quarantine/Isolation Epidemic Model; 4.6 The Gamma Distribution; 4.7 Interpretation of Data and Parametrization; 4.7.1 Models of SIR Type; 4.7.2 Models of SEIR Type; 4.7.3 Mean Generation Time; 4.8 *Effect of Timing of Control Programs on EpidemicFinal Size; 4.9 Directions for Generalization; 4.10 Some Warnings; 4.11 *Project: A Discrete Model with Quarantine and Isolation; 4.12 Project: Epidemic Models with Direct and IndirectTransmission; 4.13 Exercises; References; 5 Models with Heterogeneous Mixing
Dimensions
unknown
Extent
1 online resource (xvii, 619 pages)
File format
unknown
Form of item
online
Isbn
9781493998265
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-1-4939-9828-9
  • 10.1007/978-1-4939-9
Other physical details
illustrations (some color).
http://library.link/vocab/ext/overdrive/overdriveId
com.springer.onix.9781493998289
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1122932366

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