persist with

persist with (something)

To continue with some pursuit or activity with steadfast or obstinate tenacity. The union persisted with its demands for better pay and benefits, threatening to extend the strike until they were met. I'm not sure why he persists with this career as a musician when he's clearly nowhere close to being successful.
See also: persist

persist with something

to continue the state of something; to extend an action or state. Please do not persist with your demands that I agree to your terms. If you persist with this intrusion, I'm going to call the police.
See also: persist
References in periodicals archive ?
Although most individuals with allergies to foods in this latter group tend to persist with these allergies indefinitely, some children will develop tolerance to these foods and will be able to reintroduce them safely into their diet.