Peugeot 206 goes out walking

Hello everyone.
My problem is as follows, I have a Peugeot 206 Mod 2002 a few days ago I was running on the road and I stayed without gasoline, from there the problem began, then I filled the tank again and when I was walking suddenly the engine goes out, it is march and it normally walks again, after a while the same thing does again and so successively. However, this does not happen when standing is maintained but the revolutions are suddenly down and come back normally. Could it be the gasoline pump or any other problem?

Check the pump pressure. and also crankshaft sensor.

Look for the pump filter, it is almost covered, the entire residue of the bottom of the tank is in the filter

Hello thank you for your answer, the pump weighing is fine and the crankshaft sensor appears too. since there is no indicator on the board.
As for the pump filter, I have already uncovered it and washed there was not much waste accumation, and anyway I cleaned it and smoothly with pressure and the problem is still presented. Some have told me is the TPS sensor since I also have a hard time keeping it on without stepping on the accelerator. What do you think ??