One loose analogy could be the death of Stalin. His main men got on fighting for a few years, with a few important ones like Molotov and Beria (initially considered something of a favorite) ending up sidelined or dead. The Cold War ultimately continued, though in a less total manner.
But Stalin's Soviets were comparable to N. Korea, than, say, modern Russia, in terms of regime and its complete grip on everything. So I'd say the result would be more chaotic, might be actually comparable to Libya.