It looks like you're new here. If you want to get involved, click one of these buttons!

- All Categories 2.3K
- Chat 498
- Study Groups 14
- Petri Nets 6
- Epidemiology 3
- Leaf Modeling 1
- Review Sections 9
- MIT 2020: Programming with Categories 52
- MIT 2020: Lectures 21
- MIT 2020: Exercises 25
- MIT 2019: Applied Category Theory 339
- MIT 2019: Lectures 79
- MIT 2019: Exercises 149
- MIT 2019: Chat 50
- UCR ACT Seminar 4
- General 65
- Azimuth Code Project 110
- Statistical methods 2
- Drafts 5
- Math Syntax Demos 15
- Wiki - Latest Changes 3
- Strategy 113
- Azimuth Project 1.1K
- - Spam 1
- News and Information 147
- Azimuth Blog 149
- - Conventions and Policies 21
- - Questions 43
- Azimuth Wiki 707

Options

I suggest we revive this classical Azimuth topic at the Forum -- Petri nets / reaction networks -- in light of the present day context. On the theoretical side, things have changed due to advances in the application of category theory to Petri nets. And in practice they have changed due to the pandemic, which brings matters of epidemiological modeling to a higher level of prominence on the social radar. Compartmental models are of signal importance to this subject. And the mathematics of Petri nets provides the stochastic and deterministic foundations for these models. This is math that matters for the social planet -- Azimuth math.

The subject of Petri nets is rich and expansive.

## Comments

I recently started on this fishing expedition, with a couple of comments to this post by John on the blog:

Comment 1:

`I recently started on this fishing expedition, with a couple of comments to this post by John on the blog: * [How scientists can help fight Covid-19](https://johncarlosbaez.wordpress.com/2020/03/31/how-scientists-can-help-fight-covid-19/), Azimuth blog, March 31. Comment 1: > Modeling each country separately leaves holes in the overall model for a pandemic. E.g. if the curve goes down, travel restrictions are lifted, and then it goes back up due to what’s happening in other countries. Compartmental models use ODEs and assume a well-mixed population. What about a multi-level approach, where each country or well-mixed region has a compartmental model with its own parameters. Then there could be transitions between the compartments in different countries, reflecting flows due to travel. This looks like a potential application of composition of open networks. Perhaps a good composition rule could produce an aggregated, abstracted compartmental model for the whole globe. Or help us in other ways to understand the dynamics of the whole. What do you think?`