Effects of variable-state neighborhoods for spreading synergystic processes on lattices

Sergei N. Taraskin and Francisco J. Pérez-Reche
Phys. Rev. E 88, 062815 – Published 19 December 2013

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.

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  • Received 29 August 2013

DOI:https://doi.org/10.1103/PhysRevE.88.062815

©2013 American Physical Society

Authors & Affiliations

Sergei N. Taraskin*

  • St. Catharine's College and Department of Chemistry, University of Cambridge, Cambridge, United Kingdom

Francisco J. Pérez-Reche

  • Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen, United Kingdom

  • *snt1000@cam.ac.uk
  • fperez-reche@abdn.ac.uk

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Vol. 88, Iss. 6 — December 2013

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