Good points by Rob, although I think resorting to physical escalation is more or less cowardly because you're exuding your fear over losing her. The only time that's probably necessary is if they've made an advance on you or are being particularly creepy.
Also if your wingman is stealing your girls, he's not your wingman, he's a dude you party with.
An important factor in "competition" is your environment in night game. If it's a loud chaotic club, you need to have hooked her super well or else she'll get lost in the jungle somewhere. This can be done by landing a make out or some large investment by her, but even then it's all about the shiniest object in the room. In a chaotic club, you have to defend your stake with a near ever constant presence / position with her.
In a standard bar it's easier to get her to hook and if she's already invested in you she'll probably continue to unless some other dude comes in and out games you. You have to give her good emotions and then have her give you investment (by moving her, her getting you a drink, changing venues, playing a game of X) before the next guy does.
Above all though, when guys run up on your girl play it cool. Make yourself believe she's already into you more and you're the better option, and just carry on as usual - not giving these new dudes in your bubble much (or any) investment. If you think you're starting to lose grasp on her, consider taking charge and changing venues. But don't be a try hard.
Tooling them can work when done correctly but is also creating aggression between the two of you directly when they haven't directly been an aggressor towards you. To be done with calibration and caution (people at bars can resort to very stupid things out of becoming triggered).
I'd recommend reading Alek's writing on night game. Mainly hooking, positioning to cement yourself in the situation, and dealing with wild cards. All applicable stuff. I just recently had a lay where a group of 3 dudes tried super hard to steal my girl.
Read here if you'd like. They tried to leverage a recent breakup and leaving to do some fun party drugs to snag her from me, and I'd just occasionally poke in and remain physical with her, I very briefly introduced myself to one of them, and 10 minutes later we're making out in front of them. If you have her hooked and play it cool, other guys ain't shit - but you have to hook her.
Hope this helps.
Hue