A virus deck, in general, is usually a type of destruction deck. Destruction decks exist purely to destroy, but often the destruction takes up such a large portion of the deck that it is difficult to actually implement a strategy to win.
However, this deck is really an Exodia deck. The virus theme is it's supporting theme. (For more info about themes, check out the deck-building section). So, to keep you alive until you win with Exodia, the theme is to destroy every monster your opponent plays.
First of all, note that most of the monsters in this deck are Dark with 1000 or less attack, meaning that you have a ton of candidates to be used for Deck Destruction Virus of Death's required sacrifice. With so many monsters it can be used with in the deck, it's almost not a combo, because you will always be able to play it.
Even when you don't have Traps, you should bluff like you do. The Traps in this deck are powerful, and they should be feared. Using Blackdust or Raise Dead as a fake Trap can cause your opponent to hesitate, which is all the better for you. Also, if you have too many cards in your hand, storing Magic on the field as fake Traps will act as a storage area. However, try not to lay duplicates of the same Magic or Trap card on the field, just in case your opponent plays a card like Harpie's Feather Sweep(P5-02).
Due to the fact that there is a Reserves in this deck, you don't have to be too worried about discarding Exodia pieces. It's even a good idea to play an Exodia piece on the field and sacrifice it for the Deck Destruction Virus of Death. Just make sure that you don't discard more than 3 of Exodia's appendages, because then it will be difficult to get them all back. Also, if possible, try not to discard Exodia himself.
If you find yourself in a losing situation, play Fiber Pod. He'll reset the game and give you a second chance.
This deck is about staying in control. Not only does it keep your opponent's Monster Zone fairly clear, but it also has Magic Jammers to make sure that your opponent doesn't make a move that devestates you. Remember, these aren't here to just counter any Magic Spell. Most of the time, something small like a Thunderbolt isn't worth countering; you might take a little damage, but you'll be up and running next turn. Be sure you take the entire situation into careful consideration before deciding which Magics to counter.
If you can clear your opponent's field, and they have no useful cards in their hand, you can lock them down with Eight Giant Crows. A Thunderbolt or Deck Destruction Virus of Death will usually do it, because once your opponent stops drawing cards, it's just a waiting game until you draw all of the cards you need to get Exodia in your hand. This strategy is easier said than done, but it's very possible. If it wasn't, it wouldn't be in the deck.
Sidenote: Note that the Virus Deck and Turbo Exodia decks play many of the same cards. If you count, there are 13 cards that make these decks different. In a tournament, you can play with a 15-card sidedeck. This means that in a tournament, you can play one of the two decks, and if that one doesn't work against a particular opponent, you can try the other! This is something that we like to call a transformation sidedeck.
If you want to beat this deck, try removing cards from the graveyard from the game. Also, forced discarding can seriously hurt this deck.