Coupled effects of local movement and global interaction on contagion

Abstract

By incorporating segregated spatial domain and individual-based linkage into the SIS (susceptible-infected-susceptible) model, we investigate the coupled effects of random walk and intragroup interaction on contagion. Compared with the situation where only local movement or individual-based linkage exists, the coexistence of them leads to a wider spread of infectious disease. The roles of narrowing segregated spatial domain and reducing mobility in epidemic control are checked, these two measures are found to be conducive to curbing the spread of infectious disease. Considering heterogeneous time scales between local movement and global interaction, a log-log relation between the change in the number of infected individuals and the timescale $\tau$ is found. A theoretical analysis indicates that the evolutionary dynamics in the present model is related to the encounter probability and the encounter time. A functional relation between the epidemic threshold and the ratio of shortcuts, and a functional relation between the encounter time and the timescale $\tau$ are found.

References in corpus (10)

• Cyclic dominance in evolutionary games: A review
• Invasion threshold in heterogeneous metapopulation networks
• Percolation and Epidemic Thresholds in Clustered Networks
• Epidemic Model with Isolation in Multilayer Networks
• Epidemic variability in complex networks
• Limited path percolation in complex networks
• Finite-size scaling of synchronized oscillation on complex networks
• Promoting cold-start items in recommender systems
• Encounter times in overlapping domains: application to epidemic spread in a population of territorial animals
• Equivalent dynamical complexity in a many-body quantum and collective human system