Hair rendering

Dear all,
I’ve searched a lot but can’t find out what I’m doing wrong.
I am trying to render one frame from big bug bunny’s production files and got very ugly result. The result is the same and with Blender Render and with Cycles.

As you see there are strips on the bunny and I don’t know which setting or preset to set up in order to solve this issue.
Also you can notice that the grass rendered also bad but I think this problem will dissapear after solving the issue with strips.

Please,any idea?