Can dependant stay after sponsor cancels both visas and exits the country?

by Anxious
(Dubai)

Hello,

I was under my husband's sponsorship until 4th of this month. He cancelled his visa with his current company to move to another one.He has to go to India on an urgent basis soon. I am currently employed and have given my visa for processing with the new company.I would like to know whether I would need to exit the country with him when he leaves? Or can i stay here for a grace period of 30 days?Would he be allowed to exit only with me? Please answer at the earliest possible.

We are very worried as i just joined this company and would not be given leave for the time being. Please help.