If you are speaking biblically ... abandonment is provided for in the Pauline Exception mentioned in 1 Corinthians 7.
Abandonment by an unbeliever ...
1Cr 7:12 But to the rest speak I, not the Lord: If any brother hath a wife that believeth not, and she be pleased to dwell with him, let him not put her away.
1Cr 7:13 And the woman which hath an husband that believeth not, and if he be pleased to dwell with her, let her not leave him.
1Cr 7:14 For the unbelieving husband is sanctified by the wife, and the unbelieving wife is sanctified by the husband: else were your children unclean; but now are they holy.
1Cr 7:15 But if the unbelieving depart, let him depart. A brother or a sister is not under bondage in such [cases]: but God hath called us to peace.
Exodus also talks about neglect ...
Exd 21:7 And if a man sell his daughter to be a maidservant, she shall not go out as the menservants do.
Exd 21:8 If she please not her master, who hath betrothed her to himself, then shall he let her be redeemed: to sell her unto a strange nation he shall have no power, seeing he hath dealt deceitfully with her.
Exd 21:9 And if he have betrothed her unto his son, he shall deal with her after the manner of daughters.
Exd 21:10 If he take him another [wife]; her food, her raiment, and her duty of marriage, shall he not diminish.