I am not a biologist by profession, but I am attempting to implement a simple SIR model from the following paper. The paper assumes the following constants are known:
rc = growth rate of susceptible group S
k = carrying capacity of susceptible group in absence of infection
alpha = max value of per capita reduction rate of S due to I
a = half saturation constant
gamma = natural recovery rate from infection
delta = death rate of recovered population
I found some coronavirus data from the following source, and I plotted the Italy data in particular:
- Can I calculate the constants above from this type of data?
- Is it a good assumptions for these "variables" to be constant?
Here is my attempt of the model with the constants given in the paper