I'd venture an educated guess that this design was entered into the late 1952 GOR for a lightweight air superiority fighter against the Lockheed L-246, Republic AP-55, and Northrop N-102 Fang, that resulted in the F-104.
Published sources have said that North American submitted the NA-212 (F-100B/F-107) but this project seems too late to fit the timeline. Lockheed's L-246 won in Jan 1953, but NA-212 started development in August 1953.
Additionally, the shape of the design looks appropriate for early 1950s and the size of the model fits this competition better than anything else I can think of. It might be a private venture model perhaps, but mid 1950s at latest.
Model is 28cm length and 18.6cm span. At 1:32nd scale, that would be 8.96m length, 5.96m span. Pretty much in the Folland Gnat category. Judging from the relative size of the canopy, I would say this seems about right.
1/32 scale seems most probable; if it was 1/48th the resulting airplane would be too large, 1/24th scale too small.