Here is the perfect website for this thread:
Dangerous Animals
Apparently staring at a hostile lion is a correct strategy. But not at a leopard. And as I said, it is fatal to try to outrun an elephant. But the website does advise running as the only option when the elephant makes a "real charge" (as opposed to a "mock charge", which is apparently in jest). Then run in zig-zag manner, make sudden turns, etc. Climbing trees will not work.