Mathematical Model and Analysis on the Impacts of Vaccination and Treatment in the Control of the COVID-19 Pandemic with Optimal Control

Table 1

Description of model parameters.

Notation	Biological meaning
	The recruitment rate of susceptible individuals
	The progression rate of susceptibles into vaccinated individual class
	The natural death rate of all individuals
	The contact rate of susceptibles with infectious individuals
	The contact rate of vaccinated individuals with infected individuals
	Recovery rate of quarantined individuals into recovered individuals
	Disease-induced death rate of infectious individuals
	Disease-induced death rate of quarantined individuals
	Recovery rate of infected individuals into recovered individuals’ class
	Half saturation constant
	Positive constant