Proceedings under sections 25-21,219 to 25-21,235 may be had:

(1) In all cases against tenants holding over their terms, and a tenant shall be deemed to be holding over his or her term whenever the tenant has failed, neglected, or refused to pay the rent or any part thereof when the rent became due;

(2) In all cases when a tenant has threatened the health or safety of other tenants, the landlord, or the landlord's employees or agents, without the right of the tenant to cure the default;

(3) In all cases of sales of real estate or executions, orders, or other judicial process when the judgment debtor was in possession at the time of the entry of the judgment or decree by virtue of which such sale was made;

(4) In all cases of sale by executors or administrators or guardians and on partition if any of the parties to the partition were in possession at the commencement of the suit after such sales so made on execution or otherwise have been examined by the proper court and the sales adjudged legal; and

(5) In all cases when the defendant is a settler or occupier of lands or tenements, without color of title, and to which the complainant has the right of possession.

This section shall not be construed as limiting the provisions of sections 25-21,219 to 25-21,235.