My mother's visa will be expire on 16 jan. And...

It should be noted that after reviewing your inquiry and legally verifying it, we would like to inform you of the following: According to the UAE labor law, yes, it is possible to stay in the country for a period of thirty days after the visa cancellation.Article (77) of the executive regulations of Federal Law No. 6 of 1973 stipulate that:
The Executive Regulation of Federal Law, stipulating that the competent Naturalization and Residency Department shall collect a fine of 100 AED for each day in which the alien resides illegally. As the penalty shall be calculated from the day following the expiration of the non-renewable visa and the expiration of 10 days for the renewable visas and seven days from the date of issuance of the exit permit for violators of the Aliens Entry and Residence Law.
Note that the Nationality and Residency consider the 100 AED fine from the first day of expiration of all visa types even visit, transit, entry, tourist and entry permit to visit residents in the GCC.
Article 78
Of the same law stipulates that, except in the cases mentioned in the preceding article, the financial fine obtained by an alien for his illegal residence in the country after the expiration of his/her visa/residence permit, as it shall be calculated as the following:
• (25 AED) on every day of the first six months,
• (50 AED) for each of the next six months.
• (100 AED) for each day next to the year