Simplified Epidemiological Model

The parameters used to create the graph shown below are the following (these can be modified as desired, as long as the values are non-negative numbers, with Xmax a positive integer):

The black line shows the number of individuals who are infectious as function of time. The blue line shows the percentage of the population that is not susceptible. The right axis (i.e., the blue axis) goes from 0% to 100%.

ParametersGraph
Xmax
Ymax
N
N0
NE0
NI0
R0
τE
τI
 

The graphs were produced by solving the following system of first-order differential equations:

where