Question: We witness the closure of the tesseract once Coop successfully sends the singularity data back to Murph. And then it appears that Coop is sent back through the wormhole to our home galaxy.

Is the implication that the wormhole remained open, and only the tesseract was closed?

If so, then I imagine as soon as Coop rendezvouses with Brand, the rest of humanity will follow (at least the ones who don't prefer living on a giant cylindrical habitat)? At any rate, it doesn't seem likely that Dr. Brand would be alone for very long, which takes some of the urgency away from Coop's final voyage.

Answer: 
No. The wormhole is closed according to Christopher Nolan, the director:

<http://www.ign.com/articles/2014/11/08/jonathan-nolan-interstellar-spoilers>

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> Nolan: ... By the end of Cooper's journey, the wormhole is gone. It's up to us now to undertake the massive journey of spreading out across the face of our galaxy. Brand is still somewhere out there on the far side of the wormhole. The wormhole has disappeared entirely. It's gone.
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> IGN: And he has to try and get to Brand in this little ship?
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> Nolan: That's the idea.
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This, however is confusing, even though the director said it himself. The movie implies that the worm hole is open and that Cooper is going to travel back through the worm hole and reunite with Brand.

If the worm hole was gone, then how would Cooper ever possibly find Brand? She is in a completely different galaxy that would take thousands? millions? of years to reach by ship without the worm hole. If that is the case, then where is Cooper going in that little 1-man ship? What is the intent? It doesn't really make sense in the context of what you see at the end of the film. The movie certainly implies that Cooper and TARS steal the ship to fly back through the wormhole and reunite with Brand. This is the only interview I've seen where Nolan has explicitly stated this.
Pertaining to the wormhole status.
IF "they" placed the wormhole there then you would need a huge source of energy to create it and maintain it. The Gargantua black hole would be my assumption as that source of holding it open. Maybe Jupiter is holding it open on our side?? Somehow?? So if the tesseract was removed and that energy source was removed, then it would close. Is my thought.

Pertaining to Dr. Brand and Coop.
Dr. Brand is probably slightly out of sync with Coop after their separation so she is probably a little older than she was, then he is... << if that makes sense. Also, there wouldn't have been a rescue sent out for her yet. Because she would have just setup her beacon, the time dilation effect would have meant some 90 or so years later from when Coop and the gang took off they might have gotten a signal thru the wormhole. But after the wormhole closed then it would have taken even longer for the signal to reach them. Because they would lose their window to the other system.

Pertaining to Coop finding Brand
OK, so this is a lot of speculation. BUT there is a slight possibility that when the wormhole was swinging around that we could see recognizable constellations and are able to get an "idea" of where this place was. So he might have some clue as to where she is in the universe... BUT that doesn't matter... I mean even if he was able to trace her to a single galaxy.. It would still be like looking for a needle in a stack of needles (where the needle stack is the size of the mass of earth... or something... probably worse). IF we solved the equations for gravity and were able to lift off from earth, then maybe we can warp the space around a small ship like Coop left in to travel faster than light IF they have an enormous energy supply to feed it. Then if he could possibly go fast enough maybe...I'm pretty sure he'd never find her... But, another idea in the movie was that love transcended space/time...so maybe he could track her using love???? **love-dar**?