News Finding: So it'll be fascinating to see what other insights emerge from this kind of work.
Paper Finding: In the long run the system always reaches an equilibrium state where all spreaders have turned into stiflers, ∂ t i(t) = 0, and ∂ t r(t) = 0.
News Context: What's interesting about this result is that it only emerges when the time-varying nature of the network becomes visible. "The presented results underline the subtleties inherent to the analysis of dynamical processes in time-varying networks," say Karsai and co. So it'll be fascinating to see what other insights emerge from this kind of work.
Paper Context: We assume that only their ratio matters for the spreading behaviour (supporting results are summarized in SM). In the long run the system always reaches an equilibrium state where all spreaders have turned into stiflers, ∂ t i(t) = 0, and ∂ t r(t) = 0. Different parameters provide different penetration of the rumor in the network.