Drug epidemic tutorial (Ordinary Differential Equations)
In this use case, we analyze a system of differential equations describing the evolution of drug epidemic over time.
Figure: Plot of modeled initiation, numbers of users, memory of abuse in millions (cf. Behrens et al., 2000b)
In a set of tutorials on the subject, our partner Openeering developed algorithms and a Graphical User Interface to model this phenomena.
The system of Ordinary Differential Equations (ODE) describing it is:
Modeling an ODE :
After that we developed a Scilab Cloud App that make it all available online (for subscribers of Scilab Cloud):
The graphics have the same rendering has the one at the top of this article:
- data appear on hover,
- you can zoom in& out,
- or select a region of values with your mouse…
You can find more litterature on the subject online.