The only way to stop the animals from spawning is to delete the object. When using this function, I recommend creating a non-solid object (almost anything from the "Objects (Helpers)" list in the editor, and using hideObjectGlobal on it. Using setVariable you can add the animal site to a reference object to find it easily when you want to delete it.
private _obj = createVehicle ["Sign_Sphere10cm_F", getPos player, [], 0, "CAN_COLLIDE"];
hideObjectGlobal _obj;
player setVariable ["animalSite", _obj];
_obj = nil;
There are two hidden variables, "animalCount" and "radius". Use setVariable on the object to change these.
animalCount is supposed to limit the amount of animals that can spawn. In the code, the algorithm for this is hard to understand.
radius refers to how far away from the object the animals can spawn.
Both are numbers.
The "area" is imaginary. It is not a tangible area defined by trigger or marker radius, the area is only saved as an integer within the function.