The Resource Mathematical models in epidemiology, Fred Brauer, Carlos CastilloChavez, Zhilan Feng
Mathematical models in epidemiology, Fred Brauer, Carlos CastilloChavez, Zhilan Feng
Resource Information
The item Mathematical models in epidemiology, Fred Brauer, Carlos CastilloChavez, Zhilan Feng represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Mathematical models in epidemiology, Fred Brauer, Carlos CastilloChavez, Zhilan Feng represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 The book is a comprehensive, selfcontained 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 vectortransmitted 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
 Language
 eng
 Extent
 1 online resource (xvii, 619 pages)
 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 KermackMcKendrick 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 InterEpidemic 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 TwoStrain 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 QuarantineIsolation 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
 Isbn
 9781493998265
 Label
 Mathematical models in epidemiology
 Title
 Mathematical models in epidemiology
 Statement of responsibility
 Fred Brauer, Carlos CastilloChavez, Zhilan Feng
 Language
 eng
 Summary
 The book is a comprehensive, selfcontained 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 vectortransmitted 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
 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

 CastilloChávez, 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 CastilloChavez, Zhilan Feng
 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 KermackMcKendrick 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 InterEpidemic 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 TwoStrain 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 QuarantineIsolation 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

 10.1007/9781493998289
 10.1007/978149399
 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 CastilloChavez, Zhilan Feng
 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 KermackMcKendrick 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 InterEpidemic 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 TwoStrain 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 QuarantineIsolation 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

 10.1007/9781493998289
 10.1007/978149399
 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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