The math topic related to this is interacting particle systems. In the case of disease spreading you have some very interested results iwhen you are looking at something to which you cannot build immunity but for which you can get better from over time. When you are dealing with some kind of regular network you can show that depending on infectiousness rate and the network's complexity that it can keep on spreading or naturally vanishes in almost all scenarios. :o)
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It would definitely be interesting to build this out to a bigger game with a longer runtime and more rules. But probably some people will get annoyed by it then.
Btw, the data is all in the post if you want to analyze it :P
Would I be remiss to note that one of the above two results would occur not in almost all scenarios, but actually in all possible scenarios?
=)
Sad I missed this fun event. At least I can have fun in the aftermath.
Good point. I poorly formulated that sentence. I mean that there exists a set of rate parameters such that the disease dies out and there exists a set of rate parameters such the disease remains. These two parameter sets are disjoint. ^-^