I am no propane pro, but some things I have learned from my experience may apply here. My first thought is possibly a failed propane supply line. Have you tested all connections starting from the stove going to the tank with soapy water. If it bubbles, you have a leak. When the stove does light, are the flames solid blue, or have a bit of orange color? If it's orange, you may have a leak and air is mixing in with the propane.
If this were my issue, I would start there. If all seems good, then I would begin to believe I may have a failing propane regulator that is not supplying a constant supply.
I hope this helps, or at least gives you a place to start :-)
2014 Jeep Liberty & 1994 Jayco 1207