Using iNat data. I can understand how easily they might invade - have an egg case hitching a ride on my hiking jacket https://www.inaturalist.org/observations/117846055
https://jor.pensoft.net/article/79332/
Citizen scientists track a charismatic carnivore: Mapping the spread and impact of the South African Mantis (Miomantidae, Miomantis caffra) in Australia