Jan - in defense of my artificial hips: The last thing you want to do is run from buffalo, elephant or rhino as they ALL CAN RUN TWICE AS FAST AS THE FASTEST OLYMPIC RUNNER!!!
I have had to get deal with all three on the many walking trips (before and after my hip replacements).
Buffalo are tough and realistically you'd better get up a tree, or on top of rocky outcroppings....I was able to do this with my trusty titanium hips on a camel walk in the Ndoto mountains, northern Kenya....and also in Botswana. I have also strolled slowly around single, old bulls (supposedly the most aggressive) with no problem, however, that may have been shear luck, more than outwitting them....
In Botswana I was surrounded on three sides by a herd of 20 or so elephants....on foot with a Bushman guide (no gun). I gulped and said to him "are we finished?" He just smiled, took my hand and said "whatever you do, don't run"...we backed up VERY SLOWLY into the only clear space and the elephants stopped walking toward us....another exciting close call.
Camping outside the Mara one night at 3am, I had a fit of exploding bowels and had to walk from my one-person tent to the "choo" (long drop toilet) about 50 yards away. Halfway there I found myself in amongst a herd of foraging elephants. I picked up my flashlight (torch) and saw the gray flank of an enormous elephant only a few feet away. I looked back at my little pup tent and thought that was no place to seek safety. I saw our trusty Maasai Askari sleeping soundly on the picnic table...completely oblivious as were my fellow campers. I just stood absolutely still and thought "well, if this is my last day on earth, my friends will at least have an interesting story". The eles moved around me and it took me an hour to stop shaking....(and, I made it to the "choo" in time!)
Another time walking in the high grass with another cheetah project volunteer, I noticed the swishing sound of a snake coming through the grass in my direction. Again, word to the wise....keep absolutely still!!! The snake moved over my left hiking boot and after about 30 feet made it too a sandy patch. It was a very big Black Mamba. This time it took 2 hours to stop shaking. He/she made no aggressive move toward me as long as I pretended to be part of the landscape.
Then I was on Rhino Patrol on foot at Ol Pejeta working on a conservation project with several conservationists and a ranger with a rifle....I was last in line as we walked through a very thick patch of bush....I looked behind me and saw a huge male rhino right behind us in the bushes. I called out "rhino in back of us" and every body dove into the bushes....I tossed my light-colored cowboy hat out on the trail and the near-sighted bull rhino trampled over it. (Always wear the best - it was an original Stetson cowboy hat!!!)
By the way, if you think you're safe from an enraged elephant in a Landrover....forget it. I have been seriously charged a dozen times by angry elephants and they crush several vehicles and kill or injure people in them every year in Africa. Back away or make a serious detour...IMMEDIATELY. On foot...hold your ground and pray to whatever gods you may think might help (there is an Indian elephant god but I forget her name).
My luck is bound to run out. But as they say "stuff happens". Nor matter how careful you are...."stuff happens". Putting things in perspective - I am terrified of driving!!! Here in the USA an average of 42,000 people are killed on highways every singe year! Now that's what scares the "stuff" out of me!!!