Mathematical Epidemiology

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 ep...

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Bibliographic Details
Other Authors: Brauer, Fred (Editor), van den Driessche, Pauline (Editor), Wu, J. (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2008, 2008
Edition:1st ed. 2008
Series:Mathematical Biosciences Subseries
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Mathematical Epidemiology  |h Elektronische Ressource  |c edited by Fred Brauer, Pauline van den Driessche, J. Wu 
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505 0 |a 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 
653 |a Dynamical Systems 
653 |a Mathematical analysis 
653 |a Population genetics 
653 |a Probability Theory 
653 |a Analysis 
653 |a Population Genetics 
653 |a Epidemiology 
653 |a Differential Equations 
653 |a Dynamical systems 
653 |a Differential equations 
653 |a Probabilities 
700 1 |a van den Driessche, Pauline  |e [editor] 
700 1 |a Wu, J.  |e [editor] 
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520 |a 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 )