As a start: in the botanical world, first a plant wilts (it begins losing water, the drop in pressure decreases its turgidity, and its supporting structures fail to operate; it bends over); second, the plant withers (it begins to dry out, further collapsing; and finally, it shrivels (it curls and wrinkles up as it continues to dry out). A bit simplistic, but a decent start on using the three words. Your dictionary will supply other meanings.
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