You might say that the family portrayed in The Death of Ivan Ilych is dysfunctional. The marriage of Ivan Ilych and Praskovya Fedorovna is characterized by mutual selfishness and a refusal of each to sympathize with the other. Ivan's family life is his principal source of unhappiness, and he usually deals with any unpleasantness by retreating from it. When he becomes ill, he receives little sympathy from Praskovya Fedorovna or from his daughter, who takes after her mother. Only Ivan's young son seems to show him any care. It's an open question whether Ivan's family is as loveless as it seems or not. How much of the dying Ivan's growing alienation from his family is caused by them, and how much is caused by his own dislike of them?
Ivan Ilych is responsible for his family's troubles, because he has always refused to show any sympathy to his wife and children.
Praskovya Fedorovna has no love for her husband, and by the time he dies she is only interested in his money.