Percolation and epidemics in a two-dimensional small world.

Percolation on two-dimensional small-world networks has been proposed as a model for the spread of plant diseases. In this paper we give an analytic solution of this model using a combination of generating function methods and high-order series expansion. Our solution gives accurate predictions for quantities such as the position of the percolation threshold and the typical size of disease outbreaks as a function of the density of "shortcuts" in the small-world network. Our results agree with scaling hypotheses and numerical simulations for the same model.

• Publication year

  2001

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2001-08-31

• Fields of study

  Biology, Physics, Mathematics, Environmental Science, Medicine

• Identifiers
  DOI 10.1103/PhysRevE.65.021904arXiv cond-mat/0108542PMID 11863560
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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