We study the problem of wireless network resilience to node failures from a
percolation-based perspective. In practical wireless networks, it is often the
case that the failure probability of a node depends on its degree (number of
neighbors). We model this phenomenon as a degree-dependent site percolation
process on random geometric graphs. In particular, we obtain analytical
conditions for the existence of phase transitions within this model.
Furthermore, in networks carrying traffic load, the failure of one node can
result in redistribution of the load onto other nearby nodes.