Does your connection pump on and off also out of the game? You won't necessarily notice it while browsing, since a new page would just take a second more to load during the reconnection, but you should be able to see it from the network icon in the Taskbar - unless you're using win8 and the new IE applet.
Anyway, if it keeps dis- and reconnecting in cycles in all circumstances, the first thing is to power the modem off for a minute or ten. You may have to do this more than once. Another thing is to change the wireless channel to something your neighbor isn't using. If you can, test with an ethernet cable to see if it's your wireless or your connection. A wired connection would in any case be more stable for gaming.
And don't forget all the damage recent weather conditions have caused to the infrastructure. It won't be fixed in a day or two.
