Diffusively coupled SIQRS epidemic spreading in hierarchical small-world network

Abstract

We investigated the combined effect of migration and quarantine on epidemic dynamics in a hierarchical small-world network. Quarantine is closely connected to migration because quarantined individuals become immobile. We used the susceptible-infected-quarantined-recovered-susceptible model and derived diffusion-reaction equations for a small-world network. We demonstrated how the small-world network structure influences epidemic spreading. It was found that infectious diseases can be substantially suppressed by either increasing the quarantine rate or decreasing the migration rate. We recommend some effective control measures against the spread of influenza and COVID-19.