The Stability Analysis and Transmission Dynamics of the SIR Model with Nonlinear Recovery and Incidence Rates

Table 1

The detail descriptions of parameters given in system (1).

Parameters	Parameters description
	Susceptible population
	Infected population
	Recovered population
	Constant quantity addressing the rate of birth
	Rate of disease transmission
	Rate of natural deaths at each compartment
	Rate of deaths due to the disease
	Impact of the quantity of clinic beds
	Constant that represents the diseases infection force
	Minimum recovery rate
	Maximum recovery rate
	Represents the mediation level and decide the figure of the frequency rate as an element of the tainted population

It is assumed that all parameters , , are positive constants. The first two equations of the given model do not depend on the third equation. Hence, it is sufficient to take the first two equations; that is, the target in the upcoming discussion will be the following reduced model: