Kim Kardashian West revealed earlier that her daughter North became jealous of her little brother Saint when he first came to the family.
And after the arrival of her baby through a substitute on Monday, the Keeping up to date the star of reality Kardashians of 37, and her husband Kanye West, 40, are ensuring that both North, 4½ and Saint, 2, receive an additional love.
"Kim wants to make sure that North and Saint have a lot of extra attention and feeling included too, it's a great business for everyone to have a newborn in the family," PEOPLE tells a source close to the new parents.
Adding: "Kim and Kanye are at home with the baby They are very happy They have had some visitors, but Kris [Jenner] and Kourtney [Kardashian] are helping."
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Kim Kardashian and Kanye West with their son Saint and daughter North at the KarJenner Xmas party in December
Kim Kardashian / Instagram
Kardashian West revealed that there has been a small rivalry between her children, even before the arrival of the girl.
"I do not know if it's because she's the older sister, I do not know what it's about, I thought it was a phase, she does not like her brother and it's very difficult for me," she said in August while guest host with Ryan Seacrest with Live with Kelly and Ryan .
"She was so jealous when she badfed and all that kind of thing, and now, the phase is not going away," shared the mother of two.
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A couple of months earlier, in June, Kardashian West gave his eldest son a puppy, called Sushi, hoping that looking after the dog would teach North responsibility.
"North has been asking for a puppy for a long time," a source told PEOPLE at the time. "Kim thought it was a good idea for North to take care of a puppy and prepare it for a little brother."
Kim Kardashian with Saint and North in August
Kim Kardashian / Instagram
As The Wests have expanded to a family of five, they still have to make a final decision on the name of the newborn.
"They still do not have a name," a member of the community told him previously. "They've been thinking about it for months and they want to make sure it's right."
On Wednesday, the father of three confirmed that they are still trying to establish a name when he was photographed upon arriving at his work in Los Angeles. .
"I can not think of a name!" West told the photographers, prompting one of them to suggest Donda as his deceased mother. The new father of three, who was smiling as he walked to the office, laughed and replied, "Oh, that's fire."