encroach

verb
1
to begin to affect or use up too much of somebody’s time, rights, personal life, etc.
تجاوز کردن, تعدی کردن, دست‌درازی کردن
2
to slowly begin to cover more and more of an area
به تدریج تجاوز کردن, آهسته پیشروی کردن, نفوذ کردن
The growing town soon encroached on the surrounding countryside.
the encroaching tide