Failure in Luv Dmax 2.4

I have a DMAX 2.4 Double cabin year 2007, the problem that the truck presents to me is that sometimes the engine revolutions go down and go out as if it stops reaching fuel, I turn on it again and turn on quietly or lose the minimum and it is turned off again, they have told me that it could be the gasoline pump, or could it be the filter ??? that please recommend

The problem may be due to the IAC valve since this regulates the idle, but if you want fuel pressure.
The case of the fuel filter discarded it since if it were covered it would not start in any of the cases but as you say that you are still in it (in the truck), so I discard it, as with the air filter since the ECU regulates the fuel to be supplied in the air that enters the engine (mathematical calculation processes of the ECU) and in that current case the IAC to regulate the minimum march (Ralenti)

It is always good to start with the most basic fuel air filter spark plugs, etc., then a cleaning of the IAC and admission body and then the rest of the components.