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Table 1 Parameters: Descriptions and their values

From: Stability analysis and numerical evaluations of a COVID-19 model with vaccination

Parameter

Description

Value

\(\alpha _1:\)

The rate of unvaccinated infected people and are isolated

0.2

\(\alpha _2:\)

The rate of vaccinated infected people and are isolated

\(\frac{\alpha _1}{30}\)

\(\beta :\)

Transmission rate for unvaccinated individuals

\(3.6\times 10^{-7}\)

\(\beta ':\)

Transmission rate for vaccinated individuals

\(\frac{\beta }{30}\)

\(\eta _1:\)

Recovery rate in class J

\(\frac{1}{7}\)

\(\eta _2:\)

Recovery rate in class \(J_v\)

\(\frac{1}{7}\)

\(\delta :\)

A fraction of vaccinated susceptible goes to \(R_v\) class

0.997

\(\gamma _1:\)

The recovery rate of infected people who did not receive the vaccine

\(\frac{1}{7}\)

\(\gamma _2:\)

The recovery rate of infected people who received the vaccine

\(\frac{1}{7}\)

\(\mu :\)

Natural mortality rate

0.008

\(\mu _1:\)

Death rate due to disease in isolated people without vaccine

0.02

\(\mu _2:\)

Death rate due to disease in isolated people with vaccine

0.01

\(\theta _1:\)

The rate of reinfection in class R

\(\frac{1}{60}\)

\(\theta _2:\)

The rate of reinfection in class \(R_v\)

\(\frac{1}{60}\)

\(\Lambda :\)

Population growth rate

0.8