Man on the run after stabbing brother in the chest at parents home

A man is on the run after stabbing his brother in the chest at a south Sydney home.

The brothers, both aged in their 40s, were reportedly at their parents home in Kogarah Bay when they began arguing over a greyhound dog.

The younger brother than allegedly attacked the older brother, knifing him in the chest.

The 46-year-old man was rushed to intensive care at St George Hospital, while the younger brother remains on the run.

A crime scene has been established at the Lacey Street home as investigations continue.