It’s not An Invasion per se...America was colonized. The impact of invasions are different in history’s timeline.
Regardess, those who reached American shores were the Puritans and their ilk anyways.
Genuinely curious.
For example, India was a colony of Britain. All trade was diverted to Britain to benefit them. The great famine of bengal for example was because farmers had to grow and send cotton to England rather than grow food for Indians. The economic activities were controlled by the colonizers armed forces.
The British colonized India. The Moghals invaded India. Alexander, The Great...for example..tried to invade India, but had to retreat. It’s usually done with armies vs colonizations that is through trade.
An invasion is when a military moved in and took over the government. The invaded country became the de facto territory of the invaders. And the invaded people have to live by the rule of the invaders. Example: Georgia was invaded by mongols and the Turks and then Russia. Each time, it became part of the other’s empire.
Usually invaders, like Alexander the Great, Tariq ibn Ziyad , Kublai Kan, Hernán Cortés or Napoleon will kill opposition(mostly males) but leave women and children and men who don't oppose them.
That means most of the society remains the same after the invaders take control of power, and grant special privileges to themselves, like owning the best land or having sex with the local women.
In the US, they never mixed with local population, they just expelled them of fertile soil until they died from starvation, illnesses or fights.
Likely the origins of: “Make Love, Not War.”
Kill the men..keep the children and women around.
Invasions strive to strengthen and diversify gene pools while colonists dont mingle genetics as all and all about racial purity.
Mexico and Central/South America instead starting as a military venture with mostly men raping/“marrying” the native women and having children that way.