Really doubt Humans would last. Humans are not even that impressive, compared to other animals. They still die, and are one of the most fragile species in the animal Kingdom. I can see Humans become extinct during an Armageddon. But animals? They wouldn't care. They'd move on, evolve, learn to adapt to the changes like they had to when people began sprouting buildings(animals already take advantage of that). And hey, they'd probably see an improvement with no more people hindering their mobility.
People could kill million of animals, but many more would survive, adapt. And what would humans eat, if the animals are all infected with radiation? They'd kill themselves just as likely. Try to grow crops? Millions upon Millions of birds would not even give them a chance to step outside, let alone get some fresh air.
They'd clog the thrusters in airplanes, throw their bodies in jets, people would not be safe in the sky. In the sea? There's even more dangerous marine wildlife.
Their only chance is to stay holed up in an underground bunker.

