By reducing the transmission coefficient, an epidemic can be avoided. The recovery coefficient is a constant. If the recovery coefficient b is increased, it will help cause the epidemic to peak earlier with a lower number of infected people. Cures and better medications increase the recovery coefficient because it shortens the time a person will be ill. Though the recovery coefficient is important, increasing it only helps after the epidemic is already in progress.
P represents a population and P' represents the rate of change of the population.
The value k is a positive constant of proportionality. Because of this, when P is large, P' is also large, and when P is small, P' is also small. The rate of change of the population depends on the size of the population. To further understand and study the model, Euler's method is used. Euler's method estimates the function values.