Applications of percolation theory to fungal spread with synergy

Jonathan J. Ludlam, Gavin J. Gibson, Wilfred Otten, Christopher A. Gilligan

Research output: Contribution to journalArticle

  • 5 Citations

Abstract

There is increasing interest in the use of the percolation paradigm to analyze and predict the progress of disease spreading in spatially-structured populations of animals and plants. The wider utility of the approach has been limited, however, by several restrictive assumptions, foremost of which is a strict requirement for simple nearest-neighbour transmission, in which the disease history of an individual is in uenced only by that of its neighbours. In a recent paper the percolation paradigm has been generalised to incorporate synergistic interactions in host infectivity and susceptibility and the impact of these interactions on the invasive dynamics of an epidemic has been demonstrated. In the current paper we elicit evidence that such synergistic interactions may underlie transmission dynamics in real-world systems by rst formulating a model for the spread of a ubiquitous parasitic and saprotrophic fungus through replicated populations of nutrient sites and subsequently tting and testing the model using data from experimental microcosms. Using Bayesian computational methods for model tting, we demonstrate that synergistic interactions are necessary to explain the dynamics observed in the replicate experiments. The broader implications of this work in identifying disease control strategies that de ect epidemics from invasive to non-invasive regimes are discussed.
Original languageEnglish
Pages (from-to)949-956
Number of pages8
JournalJournal of the Royal Society Interface
Volume9
Issue number70
DOIs
StatePublished - May 2012

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Ludlam, J. J., Gibson, G. J., Otten, W., & Gilligan, C. A. (2012). Applications of percolation theory to fungal spread with synergy. Journal of the Royal Society Interface, 9(70), 949-956. DOI: 10.1098/rsif.2011.0506

Ludlam, Jonathan J.; Gibson, Gavin J.; Otten, Wilfred; Gilligan, Christopher A. / Applications of percolation theory to fungal spread with synergy.

In: Journal of the Royal Society Interface, Vol. 9, No. 70, 05.2012, p. 949-956.

Research output: Contribution to journalArticle

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Ludlam, JJ, Gibson, GJ, Otten, W & Gilligan, CA 2012, 'Applications of percolation theory to fungal spread with synergy' Journal of the Royal Society Interface, vol 9, no. 70, pp. 949-956. DOI: 10.1098/rsif.2011.0506

Applications of percolation theory to fungal spread with synergy. / Ludlam, Jonathan J.; Gibson, Gavin J.; Otten, Wilfred; Gilligan, Christopher A.

In: Journal of the Royal Society Interface, Vol. 9, No. 70, 05.2012, p. 949-956.

Research output: Contribution to journalArticle

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Ludlam JJ, Gibson GJ, Otten W, Gilligan CA. Applications of percolation theory to fungal spread with synergy. Journal of the Royal Society Interface. 2012 May;9(70):949-956. Available from, DOI: 10.1098/rsif.2011.0506