Small World Effect in an Epidemiological Model
Physical Review LettersPublished 26 March 2001Open access
Marcelo N. Kuperman, Guillermo Abramson
Citations529
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TL;DR
A model for the spread of an infection is analyzed for different population structures and finds a transition to self-sustained oscillations in the size of the infected subpopulation at a finite value of the disorder of the network.
Abstract
A model for the spread of an infection is analyzed for different population structures. The interactions within the population are described by small world networks, ranging from ordered lattices to random graphs. For the more ordered systems, there is a fluctuating endemic state of low infection. At a finite value of the disorder of the network, we find a transition to self-sustained oscillations in the size of the infected subpopulation.
Keywords
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