This is all very interesting (and utterly pointless). These are the points of the jury :-)
1. strength: Spider-man, absolutely no contest here.
2. speed: Spider-man, although Wolverine is also damn fast
3. experience/fighting skills: It's really hard to measure experience, but both have lots and lots of it. The same goes for fighting skills: both have a unique way of fighting (like most superheros have)
4. killer-instinct: definitely our hairy friend. But I don't think Logan will actually kill Spider-man. He is mean, but he isn't a sadistic pscyho who kills people because he's in a bad mood (he always is). He knows when to quit, sometimes even when he is in berserker mode.
5. weapons: our two fighters have each a great weapon. Spider-man has his incredibly strong web, which he handles very well. Wolverine has of course his famous claws, which he even handles better 🙂
6. endurance: again, very difficult, and it depends on what you mean by endurance. I wouldn't know who to pick. But do not make the big mistake to think Wolverine is invincible. He has been beaten up by lots of enemies (so has, of course, Spider-man). He is tough, has an unbreakable skeleton and certainly isn't afraid of pain, but he can feel pain. And can be knocked senseless. Which has happened before. When Spider-man gives some of his best powershots, Wolvie will certainly FEEL it, and will probably hit the floor (not for long, mind you, and Spider-man couldn't fight anymore because he probably had a broken hand).
7. senses: the "smell-sense" of Wolverine wouldn't help him much against a direct fight against Spider-man. It would help him when he was chasing Spider-man, or when Spider-man would try to ambush Wolvie, but not in any other way. Spider-man can use his spider-sense too to track people, and his spider-sense is truly his trump-card when fighting villains.
Conclusion: Wolverine is one of the most dangerous people on earth when fighting close combat. But Spider-man mostly controls a fight, and he doesn't do that much close combat. He mostly hits and jumps away and hits again and jumps away, and all that in a few seconds.
Of course, when they fight each other in the comics, there seldom is a true winner, because they are both too popular in the Marvel universe. The result of the fight depends a lot on the writer.