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.