expression, godan verb (-ru)
continue on a course; keep going; follow a trend
Used in the pattern 〜の一途を辿る to describe a situation that continues or progresses in a certain direction, often with a nuance of inevitability or steady change. Commonly used with nouns like 増加 (increase), 減少 (decrease), 悪化 (worsening), etc.
地球温暖化は悪化の一途を辿っている。
Global warming continues to worsen.
彼の人気は上昇の一途を辿った。
His popularity kept rising steadily.