The invulnerability or robustness of complex networks against cascading failures under critical node failures is of great realistic meaning. Inspired by other related works, we propose a renewed cascading failure model which should be more suitable for real networks. In this model, the initial...

With the first-order traffic model of Lighthill, Whitham and Richard (LWR), many simple traffic problems can be represented analytically such as a shock formation. However, the LWR model has some deficiencies. For example, among the other things, it fails to replicate interesting non-linear...

This paper presents a continuum approach to model the dynamics of cooperative traffic flow. The cooperation is defined in our model in a way that the equipped vehicle can issue and receive a warning massage when there is downstream congestion. Upon receiving the warning massage, the (up-stream)...