Epidemic dynamics on weighted networks by adaptive rewiring

Abstract

We study epidemic dynamics in weighted networks, where the susceptible nodes can change their infected neighbors by rewiring the edge. Two kinds of edges with different weights are considered and the effects of the edge density and the rewiring process on the epidemic properties are studied. The simulation results show that a fraction of infected nodes in the equilibrium state exhibit a nonmonotonic or monotonic behavior with the increase of the fraction of heavier weighted edges or the rewiring probability. Under the rewiring process, the system can evolve to a lower infected state in comparison with the result obtained in static network. The effect of rewiring different weighted edges on the epidemic behavior is also discussed.