Posting on social media Friday morning, the city's police department said they lodged the individual at an Oakland County jail and have passed the investigation onto the county prosecutor's office.
"The South Lyon Police Department would like to thank Oakland County Sheriff Mike Bouchard and Undersheriff Mike McCabe for deploying their resources to assist our agency during this critical incident," read a post from the South Lyon Police Department's Facebook page.
Witnesses told police that shortly after hearing a firearm discharge, neighbors saw someone exit a house on Liberty Street Wednesday night.
A release from police said they had developed several leads and had identified a person-of-interest shortly after starting their investigation, believing they didn't live in the city by frequented the area.
When police arrived at the home, they found Dylan shot in the back and his father Kevin shot in the chest and leg. Emergency crews worked to save Dylan but were unsuccessful. Kevin remains on a ventilator.