Count of 3 consecutive unsynced dates

I have a table set out like so:

user_id  date        minutes_asleep         
----------------------------
1       2015-01-01   480
1       2015-01-02   0
1       2015-01-03   0
1       2015-01-04   0
1       2015-01-05   321
1       2015-01-06   0
1       2015-01-07   0
1       2015-01-08   0
2       2015-01-01   567
2       2015-01-02   0
2       2015-01-03   285
2       2015-01-04   0
2       2015-01-05   577
2       2015-01-06   0
2       2015-01-07   0
2       2015-01-08   0

I need to find the count of 3 consecutive dates where minutes asleep is 0. So in the example above user_id 1 would have a count of 2, user_id 2 would have a count of 1. The total count would be 3. So the returning result would be:

total_count
-----------
3