What is the logic behind polygamy in general? No woman likes to have a co-wife and it was demonstrated by the Prophet’s wives as well.

How can a woman handle the jealousy that arises in such situations?

The permission is a general permission based on the need of human society, which is surplus of women in society, and Allah knew the need when He created the world so He created the nature of male to be attracted to more than one female and nature of female is that they tend to be attracted to a single male.

These are complementary natures necessary to work and this is something which was being practiced throughout the history in every corner of the world. Norm for human society; thus Islam came and regulated it, put certain limits, and gave rights to the people involved. Islam didn’t introduce it but organised it. Islam regulates polygamy to maximise the benefit and minimise the harm.

Muslim woman should trust that Allah is all Wise, and when He made it permissible for the man to have up to 4 wives with justice, respect and keeping the rights, that will be good for sure; it is not only by emotions as even the jealousy that many women feel, it will add another kind of love.