Wear khaki, olive, brown or muted green. Bright white reads as a flag; navy and black can silhouette like a predator against dry grass. Leave the perfume in camp — elephants and lions work by scent as much as sight.
A hat with a brim, a light long sleeve, and shoes you can walk in matter more than any logo. The animals are not a backdrop. Dress as if you are visiting their home, because you are.