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The phrase "a useful model" is correct and usable in written English.
You can use it when referring to a framework, representation, or example that provides valuable insights or guidance in a particular context.
Example: "The research presented a useful model for understanding consumer behavior in the digital age."
Alternatives: "an effective framework" or "a valuable representation".
Exact(60)
Drosophila as a useful model system is widely used in many fields of biological studies.
The tenure model practised at US universities could, they think, serve as a useful model.
That's a useful model for laptops.
He's always a useful model in that sense.
His brand of moderate, pragmatic socialism has also served as a useful model for Labour modernisers.
Last year's amendments to the nation's secret wiretapping regime are a useful model.
In this, his speech might be a useful model for the Clinton campaign.
They found them a useful model for the black "homelands" they were establishing.
Did his father, who had long ago renounced his monastic vows, provide a useful model?
But, after September 11th, some C.I.A. officials viewed the program as a useful model….
It's why the inverted pyramid remains a useful model on which to craft story telling.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com