摘要：AbstractWe study Susceptible-Infected-Recovered (SIR) epidemic model under mobility on multi-layer networks. We consider a scenario in which each individual within the population belong to one of the multiple classes and the population is distributed over multiple environmental patches. Individuals within a patch interact according to the SIR epidemic model and move across patches according to a class-dependent continuous time Markov chain. This yields a multi-layer network in which each layer is associated with a class and the connectivity in each layer corresponds to the digraph and transition rates of the associated Markov chain. For this multi-layer SIR model, we establish stability properties of equilibria using Lyapunov techniques, and derive simple conditions for the epidemic outbreak.
