1996 grand cherokee laredo 4wd 5.2l v8 stalling

Entered this as the search string "P0107 MANIFOLD ABSOLUTE PRESSURE" in Google and the first link explains exactly what this error code means.

In a nutshell, that error code tells you that the engine computer is getting a bad (out of range) reading from your MAP sensor.

I have a '95 Grand Cherokee with the same engine, my MAP sensor is mounted to my throttle body and senses barometric pressure through a small 90 degree formed vacuum hose connecting the MAP sensor to the throttle body, I'm sure this is the same on your vehicle.

The disintegration of this small formed vacuum hose from exposure to heat, vacuum, & fuel vapor will cause the MAP sensor to "NOT see" the correct barometric pressure in the intake manifold. If the vacuum hose is OK then the MAP sensor COULD be bad, this is a easy test to perform for a trained technician. After the repairs are made the technician should verify the proper operation of the MAP sensor with a SCAN Tool & clear that error code from the computer.

I hope this helps.
Bill