. . which means the Argentines will expand their population until there is nothing to eat. Unlike other ants which are kept in check by inter-hive warfare, the Argentines all came off a single ship, so they think they're all the same hive - there is no limit to their expansion. Anyone who wants to play nice with Argentines will not do so for long.
When the weather gets hot in Southern California, the Argentines no longer want to forage outdoors, they want to come into the house where it's cooler, and will do so by the tens of thousands if you let them.
Once an invasion is in, you need to kill all those inside or they will develop new paths back to the hive and bring another wave. Once they are wiped out you can block the access they were using with just a tiny squirt of poison - they're not so good at finding new routes from the outside.
Argentines are alien invaders and need to be treated as such. The native black ants and red ants, relatively moderate critters, have all been wiped out by the Argentines.