problems with security system

Im having problems with my 2000 chevy s-10 blazer. Sometimes when I get in to start it. My security light comes on and starts flashing and then when I to turn it over it acts like it wants to start but it cant. It almost seems like its not getting any gas to the engine. But then when you wait about 10 to 15 min. it starts right up. Please email me if you can help. Thanks