"The airport has ceased working."

This means the airport has completely stopped operations. No flights are taking off, landing, or being managed .It’s temporarily or permanently shut down. ( Аэропорт перестал работать.)

"The airport has come to a standstill."

This implies that all airport operations have stopped, usually due to an unexpected issue such as a severe weather event, a strike, or technical failures. It's a temporary situation where activities have stopped. (Аэропорт перестал работать.)

"The airport is in decay."

This indicates that the airport’s infrastructure or facilities are deteriorating over time. ( Аэропорт в упадке.)