Effects of variable-state neighborhoods for spreading synergystic processes on lattices

A theoretical framework for the description of susceptible-infected-removed (SIR) spreading processes with synergistic transmission of infection on a lattice is developed. The model incorporates explicitly the effects of time-dependence of the state of the hosts in the neighborhood of transmission e...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 88; no. 6; p. 062815
Main Authors Taraskin, Sergei N, Pérez-Reche, Francisco J
Format Journal Article
LanguageEnglish
Published United States 19.12.2013
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Summary:A theoretical framework for the description of susceptible-infected-removed (SIR) spreading processes with synergistic transmission of infection on a lattice is developed. The model incorporates explicitly the effects of time-dependence of the state of the hosts in the neighborhood of transmission events. Exact solution of the model shows that time-dependence of the state of nearest neighbors of recipient hosts is a key factor for synergistic spreading processes. It is demonstrated that the higher the connectivity of a lattice, the more prominent is the effect of synergy on spread.
ISSN:1550-2376
DOI:10.1103/physreve.88.062815