Mathematical Epidemiology
Mathematical Epidemiology [electronic resource] /
edited by Fred Brauer, Pauline van den Driessche, Jianhong Wu.
- XVIII, 414 p. 71 illus., 27 illus. in color. online resource.
- Mathematical Biosciences Subseries, 1945 2524-6771 ; .
- Mathematical Biosciences Subseries, 1945 .
and General Framework -- A Light Introduction to Modelling Recurrent Epidemics -- Compartmental Models in Epidemiology -- An Introduction to Stochastic Epidemic Models -- Advanced Modeling and Heterogeneities -- An Introduction to Networks in Epidemic Modeling -- Deterministic Compartmental Models: Extensions of Basic Models -- Further Notes on the Basic Reproduction Number -- Spatial Structure: Patch Models -- Spatial Structure: Partial Differential Equations Models -- Continuous-Time Age-Structured Models in Population Dynamics and Epidemiology -- Distribution Theory, Stochastic Processes and Infectious Disease Modelling -- Case Studies -- The Role of Mathematical Models in Explaining Recurrent Outbreaks of Infectious Childhood Diseases -- Modeling Influenza: Pandemics and Seasonal Epidemics -- Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure -- A Comparative Analysis of Models for West Nile Virus.
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca ).
9783540789116
10.1007/978-3-540-78911-6 doi
Epidemiology.
Distribution (Probability theory.
Global analysis (Mathematics).
Genetics--Mathematics.
Differential Equations.
Differentiable dynamical systems.
Epidemiology.
Probability Theory and Stochastic Processes.
Analysis.
Genetics and Population Dynamics.
Ordinary Differential Equations.
Dynamical Systems and Ergodic Theory.
RA648.5-654
614.4
and General Framework -- A Light Introduction to Modelling Recurrent Epidemics -- Compartmental Models in Epidemiology -- An Introduction to Stochastic Epidemic Models -- Advanced Modeling and Heterogeneities -- An Introduction to Networks in Epidemic Modeling -- Deterministic Compartmental Models: Extensions of Basic Models -- Further Notes on the Basic Reproduction Number -- Spatial Structure: Patch Models -- Spatial Structure: Partial Differential Equations Models -- Continuous-Time Age-Structured Models in Population Dynamics and Epidemiology -- Distribution Theory, Stochastic Processes and Infectious Disease Modelling -- Case Studies -- The Role of Mathematical Models in Explaining Recurrent Outbreaks of Infectious Childhood Diseases -- Modeling Influenza: Pandemics and Seasonal Epidemics -- Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure -- A Comparative Analysis of Models for West Nile Virus.
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca ).
9783540789116
10.1007/978-3-540-78911-6 doi
Epidemiology.
Distribution (Probability theory.
Global analysis (Mathematics).
Genetics--Mathematics.
Differential Equations.
Differentiable dynamical systems.
Epidemiology.
Probability Theory and Stochastic Processes.
Analysis.
Genetics and Population Dynamics.
Ordinary Differential Equations.
Dynamical Systems and Ergodic Theory.
RA648.5-654
614.4