Epidemic spreading in random rectangular networks

Ernesto Estrada, Sandro Meloni, Matthew Sheerin, Yamir Moreno

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The use of network theory to model disease propagation on populations introduces important elements of reality to the classical epidemiological models. The use of random geometric graphs (RGG) is one of such network models that allows for the consideration of spatial properties on disease propagation. In certain real-world scenarioslike in the analysis of a disease propagating
through plantsthe shape of the plots and fields where the host of the disease is located may play a fundamental role on the propagation dynamics. Here we consider a generalization of the RGG to account for the variation of the shape of the plots/fields where the hosts of a disease are allocated. We consider a disease propagation taking place on the nodes of a random rectangular graph (RRG) and we consider a lower bound for the epidemic threshold of a Susceptible-Infected-
Susceptible (SIS) or Susceptible-Infected-Recovered (SIR) model on these networks. Using extensive numerical simulations and based on our analytical results we conclude that (ceteris paribus) the elongation of the plot/field in which the nodes are distributed makes the network more resilient to the propagation of a disease due to the fact that the epidemic threshold increases with the elongation of the rectangle. These results agree with accumulated empirical evidence and simulation results about the propagation of diseases on plants in plots/fields of the same area and different shapes.
LanguageEnglish
Article number052316
Number of pages9
JournalPhysical Review E
Volume94
Issue number5
DOIs
Publication statusPublished - 28 Nov 2016

Fingerprint

Epidemic Spreading
Propagation
propagation
plots
Random Geometric Graph
Elongation
elongation
Epidemiological Model
thresholds
rectangles
Vertex of a graph
Rectangle
Network Model
simulation
Lower bound
Numerical Simulation

Keywords

  • network theory
  • disease propagation
  • random geometric graphs
  • RGGs

Cite this

Estrada, E., Meloni, S., Sheerin, M., & Moreno, Y. (2016). Epidemic spreading in random rectangular networks. Physical Review E, 94(5), [052316]. https://doi.org/10.1103/PhysRevE.94.052316
Estrada, Ernesto ; Meloni, Sandro ; Sheerin, Matthew ; Moreno, Yamir. / Epidemic spreading in random rectangular networks. In: Physical Review E. 2016 ; Vol. 94, No. 5.
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Estrada, E, Meloni, S, Sheerin, M & Moreno, Y 2016, 'Epidemic spreading in random rectangular networks' Physical Review E, vol. 94, no. 5, 052316. https://doi.org/10.1103/PhysRevE.94.052316

Epidemic spreading in random rectangular networks. / Estrada, Ernesto; Meloni, Sandro; Sheerin, Matthew; Moreno, Yamir.

In: Physical Review E, Vol. 94, No. 5, 052316, 28.11.2016.

Research output: Contribution to journalArticle

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Estrada E, Meloni S, Sheerin M, Moreno Y. Epidemic spreading in random rectangular networks. Physical Review E. 2016 Nov 28;94(5). 052316. https://doi.org/10.1103/PhysRevE.94.052316