In the UK the 'airport police' are provided by the police force for the area in which the airport is situated as is their equipment including vehicles. The individual officers are not usually permanently based at an airport and come from and later move back to 'normal' policing duties within their force area. Many UK airports also have Special Branch officers based there, who are again part of the civil police force for the area.
The UK has a British Transport Police, but peculiarly confined to Railway matters but with powers equal to any of the individual forces under the Crown. Aviation Police , as TLY has correctly suggested, are divisions of the territorial force that police the airport estate within their area of competence. There will be an unspecified number of Counter Terrorism Officers embedded within local forces. The Security Services will also have eyes and ears present. Much like the USA, local force plus Federal agencies working together.
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