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Mathematical Epidemiology


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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.

About the Author

Fred Brauer is a professor emeritus at the University of Wisconsin - Madison, where he taught from 1960 to 1999, and has been an honorary professor at the University of British Columbia since 1997. He is the author or co-author of 115 papers on differential equations, mathematical population biology, and mathematical epidemiology as well as 10 books including undergraduate texts and a book on models in population biology and epidemiology jointly with Carlos Castillo - Chavez. Pauline van den Driessche is a professor emerita in the Department of Mathematics and Statistics and an adjunct professor in the Department of Computer Science at the University of Victoria. Her research interests include mathematical biology, especially epidemiology, and matrix analysis. Recently she was awarded the 2007 Krieger - Nelson prize by the Canadian Mathematical Society, and gave the Olga Taussky Todd lecture at the International Conference in Industrial and Applied Mathematics in July 2007. Jianhong Wu is a professor and a Senior Canada Research Chair in Applied Mathematics at York University. He is the author or coauthor of over 200 peer-reviewed publications and six monographs in the areas of nonlinear dynamical systems, delay differential equations, mathematical biology and epidemiology, neural networks, and pattern formation and recognition. He is the recipient of the Canadian Industrial and Applied Mathematics Research Prize (2003), the Alexander van Humboldt Fellowship (1996), the Paul Erdos Visiting Professorship (2000), and Cheung Kong/YangZi River Lecture Professorship (2006).


From the reviews:

"This book presents a ... complete picture of mathematical epidemiology from the point of view of the applied mathematics community. ... The stated goal of the book is to 'persuade epidemiologists and public health workers that mathematical modelling can be of use to them.' ... There seems to be material for almost every kind of student, with a minimal background in calculus and probability theory ... . A real life lesson that we cannot neglect." (Hernan G. Solari, Mathematical Reviews, Issue 2009 k)

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