Dynamic survivability of two-layer networks with different topologies

In light of the paramount importance of addressing safety concerns in dynamic network systems, this paper investigates the dynamic survivability of two-layer networks, thereby surpassing previous studies that predominantly focused on static or dynamic single-layer networks. An improved model is constructed with globally and Barabási–Albert scale-free coupled topologies under different interlayer couplings, and dynamic survivability is analyzed under different attack strategies. Our results suggest that intralayer coupling reduces dynamic survivability, while interlayer coupling exhibits the opposite effect. Furthermore, the intralayer coupling plays a crucial role in dynamic survivability of two-layer networks. The Barabási–Albert scale-free two-layer networks exhibit high survivability against random attack, yet demonstrate low survivability to deliberate attack. In the case of interlayer couplings, negative coupling has the greatest effect on dynamic survivability, while positive coupling has the least. These findings could provide new methods to explain the phenomena of dynamic networks and design survivable networks to prevent attack.