Greetings and Welcome to Just answer.
I will do my best to assist you. When you are finished please click on accept only if you are satisfied. I don't get paid unless you do.Please do not accept if you cannot leave positive feedback. I don't know if you are a tech or a just working on your own vehicle so we may have to fine tune the answer. I only know as much about your problem as you have told me in your post, so my answers will be based on what you tell me so please add all the details you can.
This is a fuel system issue. When wat the last time you changed the fuel filter?
Was the old filter plugged?
I suspect the pump is weak and will not push the fuel past the poppet nozzles in the intake, But when you add fuel, the engine starts and gets engine vacuum to help pull it through. BotXXXXX XXXXXne, I suspect your pump pressure is low due to a bad pump and causing this. Pressure spec is 60-66 psi.
Its a tall order but I can do it.
FUEL SYSTEM TESTING