Pit vipers and them other poisonous bastards are actually far more dangerous than clear danger like pursuers or hungry carnivores. At the very least you can still evade and run away from them, or so some counterattack. This is clearly different when facing poisonous threats. Y'see, most of these creatures likes to hide in the blind spots and such, and coupled with dense jungle and little to no sunlight, you probably will understand what I'm talking about. Also map made this much easier.
Well, enough bout that and move on to real thing. First thing first, you mentioned being surrounded by hungry carnivores and such. Point one: What are these carnivorous animals, and what are their numbers? This is important because different predators has different behavior and hunting strategy, and just by knowing this your chance of survival will increase by several fold. Also don't think of "defeating" the beasts, at most just attack for the sake of escaping.
Now let's just assume those beasts and whatnot are out of the way. The next most important thing to do is look for water source. This is ridiculously vital in any kind of survival scenario. Not only it will replenish your moisture intake, river and such can serve as important landmark. Do note however, it is extremely dangerous to be near a river during the rainy season due to the chance of flash flood. And because you did not mention whether this is a rainy season or not on your initial scenario, I'll just assume it's not to make things simple. At this point, having a map is a real godsend, as you can somehow pinpoint your current location with the help of the landmarks you've found. Banzai for the map. Fuck yeah.
Okay, on to third. Now you have secured water source and we have rough estimation of where you are. Let's tread into the next problem: Food. While I might have quite some knowledge on edible and poisonous plants, let's just assume you have zero knowledge about this (seeing that you were kidnapped and such). But thankfully, this is a jungle. A tropical rainforest to boot. Meaning there would be an abundant source of fruits there. As long as you can recognize fruits in general, I don't think you'd have real problem here. I don't really recommend this due to the scenario restriction, but if you got the skill and want some meat, spearing fish from the shallow part of the river can work as well. Where to get the spear? Simply sharpen the edges of sticks and branches that you deem suitable. Do remember though, do not make a fire out in open during night time. It attracts predators and shit. So if you want to have some meat, do it in daytime or inside a cave. Still don't really recommend it because the smell can also attract predators. Also do not need to worry about the fire will give you out to your pursuers. The very fact that you were left with a map and a combat knife alone means that you're already under surveillance, or that they somehow have your trail at best. Should not get high hopes for this.
Water, current position and food source has been secured. Next, shelter. If you can survive so far, then this task would be much easier. Any place would be fine, but somewhere inside a cave or something would be best. For bedding, gather some leaves and that's it. Do make sure not to get too far off the river or whatever landmark you decide. If you can't find a cave, top of the tree is acceptable. Be aware of tree snakes though. Also, it is much advised that you sleep in under two hours at a time. This decreases the possibility of being ambushed or sneak attacked.
Last point, keep on moving. Don't stay in the same place for too long. It's great if you can cover 10 km in a day, but 5 km a day is fine. Just be sure to be as stealthy as possible, you never know what lurks in the corner. Always have the knife in your hand whenever you start moving.
Well, basically that. Feel free to add or whatever shit you want. I don't really care.