Table 3 Description of variables and parameters in the model equation.

From: A mathematical model for the transmission of co-infection with COVID-19 and kidney disease

Parameter

Description

Value

Reference

\(\Delta\)

Recruitment rate of the human population

630

Calculated

\({\phi }_{1}\)

Contact rate of Covid-19

0.1175

Fitted

\({\phi }_{2}\)

Contact rate of kidney disease

0.3425

Fitted

\(\theta\)

The parameter adjusting for the enhanced transmission of kidney disease among co-infected individuals and those in the end-stage of the disease

1.1

8

\(\gamma\)

Parameter accounting for the amplified transmissibility of COVID-19 in co-infected persons

1.0

Estimated

\({\sigma }_{1}\)

Progression rates to fully increased kidney disease by compartments \({I}_{k}\)

0.15

Fitted

\({\sigma }_{2}\)

Progression rates to fully increased kidney disease by compartment \({I}_{kc}\)

0.15

Fitted

\({\alpha }_{1},{\alpha }_{2}\)

Parameters denote adjustments for the susceptibility of individuals with kidney disease to contracting COVID-19 infection

1.3

12

\({\tau }_{1}\)

COVID-19 single-infection recovery rate

0.067

Estimated

\({\tau }_{2}\)

COVID-19 recovery rate in the compartment \({I}_{kc}\)

0.067

Estimated

\({\tau }_{3}\)

Recovery rate among co-infected in compartment \({I}_{kdc}\) for COVID-19

0.067

Estimated

\(\mu\)

Human natural death rate

0.000038

Calculated