The population then stabilised and was exterminated at the study's end.
A surprise result from genetic analysis showed not all the mice trapped at the end were descended from the founding male and female.
An unrelated female - likely to have arrived on a visitor's boat - was first captured three months after the start of the invasion, and had produced offspring one month later.
Ms Nathan said the boom on the island - a scenic reserve where there were no threatened species considered at risk from the mice - was also what could be expected with other pests such as rats, ferrets and stoats.
The findings reinforced the need for ongoing monitoring for those islands that played crucial roles in preserving critically endangered species such as kakapo and kokako.