Epidemics and Rumours in Complex Networks
(Book #369 in the London Mathematical Society Lecture Note Series)
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Book Overview
Information propagation through peer-to-peer systems, online social systems, wireless mobile ad hoc networks and other modern structures can be modelled as an epidemic on a network of contacts. Understanding how epidemic processes interact with network topology allows us to predict ultimate course, understand phase transitions and develop strategies to control and optimise dissemination. This book is a concise introduction for applied mathematicians and computer scientists to basic models, analytical tools and mathematical and algorithmic results. Mathematical tools introduced include coupling methods, Poisson approximation (the Stein-Chen method), concentration inequalities (Chernoff bounds and Azuma-Hoeffding inequality) and branching processes. The authors examine the small-world phenomenon, preferential attachment, as well as classical epidemics. Each chapter ends with pointers to the wider literature. An ideal accompaniment for graduate courses, this book is also for researchers (statistical physicists, biologists, social scientists) who need an efficient guide to modern approaches to epidemic modelling on networks.
Format:Paperback
Language:English
ISBN:0521734436
ISBN13:9780521734431
Release Date:January 2010
Publisher:Cambridge University Press
Length:130 Pages
Weight:0.45 lbs.
Dimensions:0.4" x 5.9" x 8.7"
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