Work

Percolation and epidemics in a two-dimensional small world

Year: 2002

Type: article

Abstract: 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.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.65.021904

Authors: M. E. J. Newman, I. Jensen, R. M. Ziff

Institutions: Santa Fe Institute, The University of Melbourne, University of Michigan

Language: English

Topic: Complex Network Analysis Techniques

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Australian Research Council

OpenAlex ID: W2050577796

FWCI: 6.894

Cites: 19

Cited by: 150

Related to: 10