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

Sergei N. Taraskin, Francisco J. Perez-Reche

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12 Citations (Scopus)
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Abstract

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.
Original languageEnglish
Article number062815
Number of pages10
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume88
Issue number6
DOIs
Publication statusPublished - 19 Dec 2013

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