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Mathematically speaking this is a discrete markov process. If you study the continuous version of these type of systems then by only given the rates you can prove what the eventual behaviour of the system is (from a measure theoretical perspective) . I guess your system is a just a contact process -> See 1.3 over here http://staff.utia.cas.cz/swart/lecture_notes/partic17_04_07.pdf over here.

Shh... I had that planned for another post to explain this system mathematically and nobody was supposed to know that yet!


Just kidding about the nobody was supposed to know part. I will definitely use that as another source when referencing the other post, though how it explains it in your resource is slightly different than how I had always seen the contact process explained (in other sources from reading up on it) so I still kind of learned something. As well mine is slightly more complex than just a simple contact process as it has both the vaccination rates and the infection rates and whether someone is vaccinated or not will affect the rate of spread of the infection along with some other things but still you are correct! I wish I could vote you for more.

Yeah it is a bit different from an ordinary contact process.

The theory for these kind of stuff that I am familiar with hold on lattices of the type ql_b70b76a8ac309bca08edc1a1142c9ebe_l3.png . Which is in some sense a lattice on RR.png So it might be fun to explore what kind of results you get if you implement this kind of stuff on a torus.

I could check it out and try the implementation though I am unsure about pygame in its ability to handle the 3rd dimension. I mean python already does O(nlogn) algorithms as O(n2)

So I will definitely look into it but it might take a little longer to implement this into 3d (for application) than it did for 2d

I mean a 2d torus (S x S). By identifying the opposite edges on a square you can create a torus.

Yes but it would be prettier to look at if it was a complete torus, as well I can just write it in C++ and have it work a lot faster

Nice! You should make one of these and share with the anti-vaccine community. :) Really stir up the pot. :)

I have an entire list of posts dedicated to stirring the pot of the antivac community... Even better though is when you piss off, I mean stir the post, with antivaccers you know personally.

These images skip the part where I had sent a very long list of scientific sources (with brief explanations of the conclusions in each)...

:) Why listen to scientific evidence. . :)

Exactly, especially when there is a guy that graduated from standford with an honours degree saying that vaccines cause autism (J.B. Hadley or something like that, B.A. honours in east asain studies) and obviously, since he went to standford his knows what he is talking about. Where do I get off thinking vaccines work?

"Science is nice and everything but... unsourced anti-vax facebook meme"

Screenshots from my phone. I mean what are the chances I could find a meme with someone talking to a person over facebook about this exact topic where they have the same spelling as me (most people with my name has it spelled as Brody, not Brodie...) and even then it isn't a super common name (at least not here)

I think you misunderstood, I'm making fun of the type of person I've run into numerous times on the internet who'll claim to 'love science' and then immediately use unsourced anti-vax memes/infographics in an argument.