Extension/ Renewal of Leave and License agreement.

Dear Sirs, As the owner of a residential premise I have given it on rent. The agreement is on leave and licence basis for SIX months expiring on 30 April 18 . There is no provision in the agreement for extension or renewal of the agreement. Now the licensee has requested to allow him to stay beyond 30 April 18 till he finds a suitable accommodation without giving any definite date or deadline. My query is - What should I do? Should I enter into a similar agreement for a limited period , say for two months.He is not regular in paying rent also.