Mathematical Epidemiology

• Corporate Author: SpringerLink (Online service)
• Other Authors: Brauer, Fred (Editor), Driessche, Pauline van den (Editor), Wu, Jianhong (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1945
• Subjects: Medicine.; Epidemiology.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Differential equations.; Probabilities.; Biomathematics.; Medicine & Public Health.; Probability Theory and Stochastic Processes.; Analysis.; Genetics and Population Dynamics.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.

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...

Table of Contents:

• 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.