When a large percentage of the population becomes immune to a disease, you can consider the population to be protected from the disease by herd immunity. This means that although 100% of the population may not be vaccinated, a sufficient proportion of the population is, and the disease can no longer spread. In this virtual lab, you will investigate the concept of herd immunity using the SIR (susceptible, infected and recovered) model.
The model used in this exercise is based on the SIR (susceptible, infected, recovered) model. The SIR model was developed by Kermack and McKendrick in the early 1900s and is one of the most well-known models for studying infectious diseases within populations. Since its development, there have been many adaptations of the model, allowing it to be used in a wide variety of settings and contexts.
SIR model with vaccination.
Analyze the impact of infection for different basic reproduction number (R0) values and duration of sickness. To model influence of influenza, set R0 value to 3 and the duration of sickness to 7 days.
Use the Wolfram Language to carry out parametric analysis.
Dynamic visualization of spread of an infectious disease.