Synergy in spreading processes: from exploitative to explorative   foraging strategies
  An epidemiological model which incorporates synergistic effects that allow the infectivity and/or susceptibility of hosts to be dependent on the number of infected neighbours is proposed. Constructive synergy induces an exploitative behaviour which results in a rapid invasion that infects a large number of hosts. Interfering synergy leads to a slower and sparser explorative foraging strategy that traverses larger distances by infecting fewer hosts. The model can be mapped to a dynamical bond-percolation with spatial correlations that affect the mechanism of spread but do not influence the critical behaviour of epidemics. 
Francisco J. Perez-Reche, Jonathan J. Ludlam, Sergei N. Taraskin, and   Christopher A. Gilligan
q-bio.PE cond-mat.stat-mech nlin.AO