Periodic tenancies do not have an end date: they run on a rolling basis from X amount of time to Y. Typically, periodic tenancies will have a term of one month. To end a periodic tenancy, either the landlord or the tenant must give notice.
If the tenancy is a contractual periodic tenancy, the tenancy agreement should specify how much notice the landlord needs to give the tenant to end the tenancy. If the tenancy agreement is silent on this matter, or there is a statutory periodic tenancy, the landlord should give the tenant at least 2 months’ written notice of their intention to repossess the property. This is also known as Section 21 Notice. Once the notice period expires, if the tenant has not moved out, the landlord can then apply to the courts for a possession order.