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Rob Lewis's avatar

It's interesting that indigenous people don't seem to get as caught up in these memes. I would guess their connection and reverence for ancestors and what came before, along with connection to the earth, gives them a certain immunity. The more attached to technology and abstract ideology we become, the more susceptible we seem to be.

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Martí's avatar

I don't really understand your model. The second equation (I') looks fine to me. The first one (S') not so much. In my opinion S should decrease with the cured people alone, so I don't see why S' has this S multiplying.

I played with another model as I think it should be (of course, I can be mistaken). Luckily the looks of the plot is almost exactly the same. My model is:

S’ = -k3 I

I’ = k2 (S - I) I – k3 I

R’ = k3 I

And what I plot as Susceptible is actually is (S - I). S includes the infected, and this is not what I want to plot. For the same reason, I'm putting (S - I) in the I' equation.

I assume all the cured become immune. I guess the model could be set so that only a fraction of the cured became immune. Or, for memes, that each cured could immunize more people other than himself.

Once plotted it looks almost exactly as yours. So much so, that I suspect I'm reformulating the problem in an equivalent way, still not understanding yours and why it should behave so exactly as mine.

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