Small world effect in an epidemiological model

Details Small world effect in an epidemiological model Small world effect in an epidemiological model

2000-10-05

arxiv.org/abs/nlin/0010012v1

Phys. Rev. Lett. vol. 86 pp.2909-2912 (2001)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Scientific paper

10.1103/PhysRevLett.86.2909

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.

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