I have a trail about 10' wide going down a hill in the woods behind my house. This particular section has a ~10-15% grade. It receives regular foot, tractor, and log skidding (i.e. behind the tractor) traffic, so there's not much that grows in the pathway (and planting some kind of turf grass won't work). The soil is gravelly under the duff layer. The area receives minimal light since this is going through the woods. The edge of the trail is a mix of brush, saplings, and large trees -- more the latter than the former.
When we get heavy rain, parts of the trail wash out. It can be repaired, but I prefer prevention over cure.
What are my options for preventing erosion on this trail?