Idiom
Turf war.
If people or organisations are fighting for control of something, it is a turf war.
Dictionary
turf war
noun
A dispute over territory between rival gangs.
Ai Feedback
The phrase "turf war" is correct and can be used in written English.
The phrase is typically used to refer to a dispute between groups, often in which the competing groups seek to control the same territory. For example, "The disagreement between the two neighboring countries quickly escalated into a turf war."
Exact(60)
But an inter-agency turf war?
This turf war is on.
"It might be quite a turf war".
DEAD OR ALIVE -- Turf war in Tokyo.
It is a classic turf war.
"They started an instant turf war".
The subsequent turf war has claimed hundreds of victims.
The turf war, though, is mostly for show.
"There's no question there's a turf war," said Mr. Hammond.
"Unity is more important than a turf war".
But she laughed off suggestions of a looming "turf war".
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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