You can fish it up in the oasis during Summer. You need the special Summer helmet to be able to move through the sand storm though. If you want it to leave you alone for the entire Summer, you will have to give it a frozen Heat Stone (put it in the fridge), give it to the Antlion and then kill it (it might be difficult if you're not used to it though).

So you can't just feed it tons of rocks on the first day and hope that it will leave you alone for the entire Summer. One should keep in mind that its rage timer cannot exceed 6 days, so players may need to contribute a hefty amount of items to it at least twice throughout Summer in order to never be attacked. Players can either contribute Rocks, Trinkets, or Eggs to the Antlion and it will take away a bit of its rage. When the Antlion first spawns in Summer, players have about 4 days to pay tribute before it becomes enraged.

According to some information I read, a Summer lasts 16 days in Don't Starve Together.Īccording to the Wikia page of the Antlion you linked to:

Dont starve wiki antlion