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springer-math / Mathematics-of-Epidemics-on-Networks

Source code accompanying 'Mathematics of Epidemics on Networks' by Kiss, Miller, and Simon http://www.springer.com/us/book/9783319508047 . Documentation for the software package is at https://epidemicsonnetworks.readthedocs.io/en/latest/
MIT License
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Pair-approximation example #20

Open shenii opened 6 years ago

shenii commented 6 years ago

Thanks for making this useful package!

Would it be possible to show implementation of numerical pair-approximation for SI model when population are spatially structured?

joelmiller commented 6 years ago

That one is a bit tricky. Right now the only pair-approximation model that we've implemented ignores space. Offhand I'm not sure that anyone has written down what a pair-approximation would look like with spatial structure. It would depend on what assumptions we make about the network, and then we'd have to build the model (I've got a version here that does an EBCM approach to SIR

Could you give me some ideas of what network structure you'd want to consider?

shenii commented 6 years ago

Okay, I see your point. Yes, I was initially thinking about lattice models with varying degrees of dispersal or infection rates for diseases. One nice example is this paper http://rspb.royalsocietypublishing.org/content/royprsb/266/1432/1933.full.pdf