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.
Perez-Reche, F. J., Ludlam, J. J., Taraskin, S. N., & Gilligan, C. A. (2011). Synergy in spreading processes: from exploitative to explorative foraging strategies. Physical Review Letters, 106(21). https://doi.org/10.1103/PhysRevLett.106.218701