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

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

Label
Age-structured population dynamics in demography and epidemiology
Title
Age-structured population dynamics in demography and epidemiology
Statement of responsibility
Hisashi Inaba
Creator
Subject
Language
eng
http://library.link/vocab/creatorDate
1957-
http://library.link/vocab/creatorName
Inaba, Hisashi
Dewey number
304.620724
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
Stable population model
Label
Age-structured population dynamics in demography and epidemiology, Hisashi Inaba
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
  • Preface; Acknowledgements; Contents; 1 The Stable Population Model; 1.1 Basic Model Ingredients; 1.1.1 Introduction; 1.1.2 Mortality; 1.1.3 Fertility; 1.1.4 Malthusian Populations; 1.2 Fundamental Theorem of Demography; 1.2.1 The Stable Population Model; 1.2.2 Classical Solutions; 1.2.3 Semigroup Solutions; 1.2.4 Generation Expansion and R0; 1.2.5 Fundamental Theorem of Demography; 1.2.6 The Intrinsic Rate of Natural Increase; 1.3 The Dual System and the Reproductive Value; 1.3.1 The Population Operator; 1.3.2 The Reproductive Value; 1.3.3 Fundamental Solutions
  • 1.3.4 Backward System and Demographic Potential1.3.5 Stochastic Interpretations; 1.4 Some Demographic Applications; 1.4.1 Demographic Indices; 1.4.2 The Population Momentum; 1.4.3 Preston -- Coale System; 1.4.4 Perturbation Theory; 1.5 Age Profile Dynamics of Quasi-stable Populations; References; 2 Extensions of the Linear Theory; 2.1 Multistate Stable Population Model; 2.2 Inhomogeneous Linear Problems; 2.2.1 Stable Population Model with Immigration; 2.2.2 Population Dynamics of Marine Invertebrates; 2.3 Linear Marriage Models; 2.3.1 First-Marriage Model
  • 2.3.2 Reproduction by Non-persistent Unions2.4 Parity Progression Model; 2.5 Growth and Diffusion in Continuous State Spaces; 2.5.1 McKendrick Equation with an Additional Structure; 2.5.2 Traveling Wave Solutions; 2.6 Ergodicity Theorems for Non-autonomous Systems; 2.6.1 Primary System and Ergodicity; 2.6.2 Dual System and Ergodicity; 2.6.3 Generalized Stable Populations; 2.6.4 Periodic Stable Populations; References; 3 Nonlinear One-Sex Models; 3.1 Period Control Model; 3.1.1 Basic Model and Its Well-Posedness; 3.1.2 Stationary Solutions and Their Stability; 3.1.3 Exchange of Stability
  • 3.2 Global Behavior: Illustrative Examples3.2.1 Existence of Periodic Solutions; 3.2.2 Separable Models; 3.3 Cohort Control Model; 3.3.1 Basic Model; 3.3.2 Easterlin Cycle; References; 4 Pair Formation Models; 4.1 The Two-Sex Problem in Demography; 4.2 Kendall's Marriage Model; 4.2.1 Basic Model and Its Preliminary Analysis; 4.2.2 Exponential Solutions; 4.2.3 Stability of the Homogeneous System; 4.3 Pair Formation Models with Age Structure; 4.4 Malthusian Growth via Pair Formation; 4.4.1 Intra-cohort Marriage Models; 4.4.2 Inter-cohort Marriage Models; 4.5 Semigroup Approach; References
  • 5 Basic Ideas in Epidemic Modeling5.1 The Early Kermack -- McKendrick Model; 5.1.1 Basic Model; 5.1.2 Threshold Theorem and the Final Size Equation; 5.2 Three Applications; 5.2.1 Transmission by Environmental Contamination; 5.2.2 Virus Dynamics; 5.2.3 Asymptomatic Transmission Model; 5.3 Infection-Age-Dependent Model; 5.3.1 Linear Invasion Phase and R0; 5.3.2 Asymptotic Behavior; 5.3.3 The Intensity of Epidemic and Its Lower Bound; 5.4 Pandemic Threshold Theorem; 5.4.1 Basic Model and R0; 5.4.2 The Initial Value Problem; 5.4.3 The Final Size Equation of the Limiting Epidemic
Control code
ocn976406772
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9789811001888
Level of compression
unknown
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)976406772
Label
Age-structured population dynamics in demography and epidemiology, Hisashi Inaba
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
  • Preface; Acknowledgements; Contents; 1 The Stable Population Model; 1.1 Basic Model Ingredients; 1.1.1 Introduction; 1.1.2 Mortality; 1.1.3 Fertility; 1.1.4 Malthusian Populations; 1.2 Fundamental Theorem of Demography; 1.2.1 The Stable Population Model; 1.2.2 Classical Solutions; 1.2.3 Semigroup Solutions; 1.2.4 Generation Expansion and R0; 1.2.5 Fundamental Theorem of Demography; 1.2.6 The Intrinsic Rate of Natural Increase; 1.3 The Dual System and the Reproductive Value; 1.3.1 The Population Operator; 1.3.2 The Reproductive Value; 1.3.3 Fundamental Solutions
  • 1.3.4 Backward System and Demographic Potential1.3.5 Stochastic Interpretations; 1.4 Some Demographic Applications; 1.4.1 Demographic Indices; 1.4.2 The Population Momentum; 1.4.3 Preston -- Coale System; 1.4.4 Perturbation Theory; 1.5 Age Profile Dynamics of Quasi-stable Populations; References; 2 Extensions of the Linear Theory; 2.1 Multistate Stable Population Model; 2.2 Inhomogeneous Linear Problems; 2.2.1 Stable Population Model with Immigration; 2.2.2 Population Dynamics of Marine Invertebrates; 2.3 Linear Marriage Models; 2.3.1 First-Marriage Model
  • 2.3.2 Reproduction by Non-persistent Unions2.4 Parity Progression Model; 2.5 Growth and Diffusion in Continuous State Spaces; 2.5.1 McKendrick Equation with an Additional Structure; 2.5.2 Traveling Wave Solutions; 2.6 Ergodicity Theorems for Non-autonomous Systems; 2.6.1 Primary System and Ergodicity; 2.6.2 Dual System and Ergodicity; 2.6.3 Generalized Stable Populations; 2.6.4 Periodic Stable Populations; References; 3 Nonlinear One-Sex Models; 3.1 Period Control Model; 3.1.1 Basic Model and Its Well-Posedness; 3.1.2 Stationary Solutions and Their Stability; 3.1.3 Exchange of Stability
  • 3.2 Global Behavior: Illustrative Examples3.2.1 Existence of Periodic Solutions; 3.2.2 Separable Models; 3.3 Cohort Control Model; 3.3.1 Basic Model; 3.3.2 Easterlin Cycle; References; 4 Pair Formation Models; 4.1 The Two-Sex Problem in Demography; 4.2 Kendall's Marriage Model; 4.2.1 Basic Model and Its Preliminary Analysis; 4.2.2 Exponential Solutions; 4.2.3 Stability of the Homogeneous System; 4.3 Pair Formation Models with Age Structure; 4.4 Malthusian Growth via Pair Formation; 4.4.1 Intra-cohort Marriage Models; 4.4.2 Inter-cohort Marriage Models; 4.5 Semigroup Approach; References
  • 5 Basic Ideas in Epidemic Modeling5.1 The Early Kermack -- McKendrick Model; 5.1.1 Basic Model; 5.1.2 Threshold Theorem and the Final Size Equation; 5.2 Three Applications; 5.2.1 Transmission by Environmental Contamination; 5.2.2 Virus Dynamics; 5.2.3 Asymptomatic Transmission Model; 5.3 Infection-Age-Dependent Model; 5.3.1 Linear Invasion Phase and R0; 5.3.2 Asymptotic Behavior; 5.3.3 The Intensity of Epidemic and Its Lower Bound; 5.4 Pandemic Threshold Theorem; 5.4.1 Basic Model and R0; 5.4.2 The Initial Value Problem; 5.4.3 The Final Size Equation of the Limiting Epidemic
Control code
ocn976406772
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9789811001888
Level of compression
unknown
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)976406772

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