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 ).
Author(s): David J. D. Earn (auth.), Fred Brauer, Pauline van den Driessche, Jianhong Wu (eds.)
Series: Lecture Notes in Mathematics 1945
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2008
Language: English
Pages: 414
Tags: Genetics and Population Dynamics; Ordinary Differential Equations; Dynamical Systems and Ergodic Theory; Probability Theory and Stochastic Processes; Epidemiology
Front Matter....Pages i-xviii
A Light Introduction to Modelling Recurrent Epidemics....Pages 3-17
Compartmental Models in Epidemiology....Pages 19-79
An Introduction to Stochastic Epidemic Models....Pages 81-130
An Introduction to Networks in Epidemic Modeling....Pages 133-146
Deterministic Compartmental Models: Extensions of Basic Models....Pages 147-157
Further Notes on the Basic Reproduction Number....Pages 159-178
Spatial Structure: Patch Models....Pages 179-189
Spatial Structure: Partial Differential Equations Models....Pages 191-203
Continuous-Time Age-Structured Models in Population Dynamics and Epidemiology....Pages 205-227
Distribution Theory, Stochastic Processes and Infectious Disease Modelling....Pages 229-293
The Role of Mathematical Models in Explaining Recurrent Outbreaks of Infectious Childhood Diseases....Pages 297-319
Modeling Influenza: Pandemics and Seasonal Epidemics....Pages 321-347
Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure....Pages 349-364
A Comparative Analysis of Models for West Nile Virus....Pages 365-390
Back Matter....Pages 391-412
