Lecture material

First-principle modelling:

First-principle modelling examples:

Introduction to state space models:

State space system example (to be added):

Solving linear systems:

Stability:

Exercise 2.4

Webinar

Extra material

Compartment models have many uses. One is to model epidemics. The simplast flavor of such models is the SIR model. The population is divided into three fractions: Susceptible, Infected, and Removed. (Removed are either recovered and immune or dead). Since S+I+R = constant, it is enough to introduce two states, for example x1 = S and x2 = I. Here's an interactive SIR model simulator.

Video on eigenvalues and stability (2x2 case)

Video on state space equations