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 language | English |
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Article number | 062815 |
Number of pages | 10 |
Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
Volume | 88 |
Issue number | 6 |
DOIs | |
Publication status | Published - 19 Dec 2013 |