P-38 vs Bf 109 - Huge battles over Italy August/september 1943

[Gizmo]

Hi,
I'm interested about true Luftwaffe losses in few air combats with P-38 over Italy. Unfortunately I have only JG 53 History by Mr Prien, so losses of IV./JG 3 and JG 77 with participated at this combats are unclear for me.



20 August 1943
Pilots of 1st FG and 82nd FG claimed shot down 13 enemy fighters.
USAAF losses: five P-38s from 1st FG and three more from 82nd FG.

LW losses:
JG 53: no losses
IV./JG 3: ?
JG 77: ?

30 August
Pilots of 1st FG claimed eight enemy fighters, but lost 13 P-38.
Jg 53 losses: Bf 109G-6 'yellow 6' W.Nr Uffz. Leo Niesen KIA
IV./JG 3 and I./JG 77 losses: ?

2nd September
Pilots of 82. FG claimed 17 Bf 109, 5 M.C. 202, 1 Re.2001 and 1 Fw 190 USAAF losses: 10 pilots (8 KIA and 2 POW)

JG 53 Losses:
Hptm. Franz Schiess (67 kills, including 17 P-38) MIA Bf 109G-6 W. Nr 160022
Fw. Hans Feyerlein WIA Bf 109G-6 W. Nr 18618
Fw, Eugen Kurz WIA Bf 109G-6 W. Nr 18617

IV./JG 3 losses: ?
JG 77 losses: ?
Osprey P-38 Aces book says that Luftwaffe lost seven pilots on 2nd september battle.

If someone have IV./JG 3 or JG 77 book, I'm very interesting about German losses on that days.
Thanks