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 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.
St. Catharine's College and Department of Chemistry, University of Cambridge, Cambridge, United Kingdom.
Sergei N
SN
Taraskin
Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen, United Kingdom.
Francisco J
FJ
Pérez-Reche