Can't use an exact birthdate for this time frame, it was many , many years after this that England & Wales incorporated actual dates of birth into death registrations (and even then it was only to be the best knowledge of whoever the informant was).
However, if you believe he died in England or Wales then try FreeBMD.
Search deaths
Surname Smith
First name Alfred
date range 1913 -1918 and don't specify either a county or a district
Before you press search , put a range in the Death Age/DoB box. You can try the exact year of his birth but its better to do a range with a year either side, so if he'd been born in 1880 type in
@1879-1881
now hit search
27 hits for those search terms, and it will take a lot of work to discount them one by one, by trying for cemetery records, old newspapers etc etc.
and if he died in Scotland or Ireland then you'd have to also search their records.
Boo