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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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Erratum: SIS dynamics (Equation 3.5) #75

Closed janmoelter closed 3 months ago

janmoelter commented 3 years ago

It seems to me that the evolution equation for SS-pairs under SIS dynamics (Equation 3.5d) might be missing two terms. Specifically, since the number of SS-pairs increases from within the pair when SI-pairs recover, the terms +γi 〈IiSj〉 and +γj 〈SiIj〉 should appear in the corresponding evolution equation. This would then also make the equations consistent with the evolution equations after closures at the pair level have been introduced later in the book (Equation 3.26).

joelmiller commented 3 years ago

At first glance, it looks like you're right. I'll need to look over it in more detail just to be sure. It looks like the SS pairs can only decrease in time, which of course isn't right.

joelmiller commented 3 months ago

Cleaning up the issues. This was done, not yet closed.