Effects of variable neighbourhood on spreading processes

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.

References in corpus (5)

• Statistical physics of social dynamics
• Discontinuous Percolation Transitions in Epidemic Processes, Surface Depinning in Random Media and Hamiltonian Random Graphs
• Driving-induced crossover: from classical criticality to self-organized criticality
• Complexity and anisotropy in host morphology make populations safer against epidemic outbreaks
• Prediction of invasion from the early stage of an epidemic

Cited by in corpus (7)

• Coevolution spreading in complex networks
• Explosive spreading on complex networks: the role of synergy
• Effects of local and global network connectivity on synergistic epidemics
• Bifurcations in synergistic epidemics on random regular graphs
• Synergistic epidemic spreading in correlated networks
• Synergistic Effects in Networked Epidemic Spreading Dynamics
• Synergistic effects in threshold models on networks