I haven't had kids yet so I can't really speak as to how it affects a womans sex life. However If everything else is going okay in the marraige then you might want consider things you can do to get him more interested in sex.
I don't think men really notice when their sex drive lowers, it just doesn't seem to occupy the same position in their brains anymore like its been pushed out by something else
Maybe for a while you might want to consider sex as something you do
to your husband rather than with him. I know it sounds wrong your husband isn't making the effort so you have to. Also it might mean that for a little while you might not have your orgasm while your husband does. After a couple of times you can shift the onus back onto him, ie you'll bring it for the first couple of times but then he'll have to come and get it.
Also what turns men on changes over time, they like to be dominant/submissive, they like you to act ****ty / Girly , they like spontaneous/ planned, even the type of lingerie that turns them on changes.
Like I mentioned on other threads I'm pretty indulgent of my hubby just so long as he keeps making the effort.If a guy is struggling sexually then doggy style despite the horrid name is your friend, they feel less self conscious if they start to lose it then they can take a minute and sort themselves out, it really does help.
Anywho I hope it all works out for you.