Physical Review Letters · 2001 · 536 citations · 16 references
EngineeringInfectious DiseasesComplex SystemsDynamical SystemsInfectious Disease EpidemiologyDisease DynamicsDisease SpreadInfectious Disease DynamicsNetwork DynamicsNetwork TheorySmall-world NetworksEndemic DynamicsEpidemic Processes On NetworksEpidemic SpreadingEpidemic Spreading ModelsEpidemic Spreading On NetworksInfectious Disease ModelsModeling Of Outbreak SpreadPathogen Spread In Populations
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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Collective dynamics of ‘small-world’ networks
Duncan J. Watts, Steven H. Strogatz · Nature · 1998 · 43.2K citations