English

Effects of variable neighbourhood on spreading processes

Populations and Evolution 2013-12-25 v1

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 a time-dependent environment on the transmission of infection between hosts. Exact solution of the model shows that time-dependence of the neighbourhood 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.

Keywords

Cite

@article{arxiv.1308.5676,
  title  = {Effects of variable neighbourhood on spreading processes},
  author = {Sergei Taraskin and Francisco J. Pérez-Reche},
  journal= {arXiv preprint arXiv:1308.5676},
  year   = {2013}
}
R2 v1 2026-06-22T01:15:15.277Z