Introduction to Complex Systems
Practical Problem 23: SIRS Model with Peer Pressure
This problem is very simple. The main purpose is to code a patch model that describes the SIRS model but with an additional twist: Individuals vaccinate with a probability that is proportional to the fraction of infected individuals around them.
The first part of the problem is implementing the model that is described in the complexity explorable:
only in netlogo you will use a square lattice.
Make sure you have sliders for
- infection rate
- recovery rate
- waning immunity
Additional Twist
In addition to the states Susceptible, Infected and Recovered introduce a new state Vaccinated. Here are the rules for vaccinated patches
- Susceptibles can become vaccinated with a vaccination $v$ only if the fraction in infecteds in their neighborhood exceeds a predefined value $p$. Both parameters should be sliders
- Vaccinated become susceptible just like the recovered patches.
Try to find parameters setting such that the dynamic pattern that emerges appears spatially heterogeneous.