Many people have remarked on the recent flurry of worms and viruses going around on the Internet. Is this a trend, or just a random blip? A simple model predicts that worm/virus damage should increase in proportion to the square of the number of people on the Net.
First, it seems likely that the amount of damage done by each worm will be proportional to the number of people on the Net. This is based on three seemingly reasonable assumptions.
(1) Each worm will exploit a security flaw that exists (on average) on a fixed fraction of the machines on the Net.
(2) Each worm will infect a fixed fraction (nearly 100%, probably) of the susceptible machines.
(3) Each infected machine will suffer (or inflict on others) a fixed amount of damage.
Second, it seems likely that the rate of worm creation will also be proportional to the number of people on the Net. This is based on two more seemingly reasonable assumptions.
(4) A fixed (albeit very small) fraction of the people on the Net will have the knowledge and inclination to be active authors of worms.
(5) Would-be worm authors will find an ample supply of security flaws for their worms to exploit.
It follows from these five assumptions that the amount of worm damage per unit time will increase as the square of the number of people on the Net. As the online population continues to increase, worm damage will increase even faster. Per capita worm damage will grow as the Net gets larger.
Assuming that the online population will keep growing, the only way out of this problem is to falsify one of the five assumptions. And each of the five assumptions seems pretty well entrenched.
We can try to address Assumption 1 by applying security patches promptly, but this carries costs of its own, and in any case it only works for flaws that have been discovered by (or reported to) the software vendor.
We can try to address Assumption 2 by building defenses that can quarantine a worm before it spreads too far. But aggressive worms spread very quickly, infecting all of the susceptible machines in the world in as little as ten minutes. We’re far from devising any safe and effective defense that can operate so quickly.
Assumption 3 seems impossible to prevent, since a successful worm is assumed to have seized control of at least one significant part of the victim’s computer.
Assumption 4 seems to be human nature. Perhaps we could deter worm authors more effectively than we do, but deterrence will only go so far, especially given that we’ve had very little success so far at catching (non-rookie) worm authors, and that worms can originate anywhere in the world.
So we’re left with Assumption 5. Can we reduce the number of security flaws in popular software? Given the size and complexity of popular programs, and the current state of the art in secure software development, I doubt we can invalidate Assumption 5.
It sure looks like we’re in for an infestation of worms.
