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Theory and Modern Applications

Table 1 Parameters and values of model ( 1.4 )

From: Stability analysis for HIV infection of CD4+ T-cells by a fractional differential time-delay model with cure rate

Parameter

Description

Value

T

Uninfected CD4+ T-cell population size

1,000 mm 3

I

Infected CD4+ T-cell density

0

V

Initial density of HIV RNA

10 3 mm 3

T 0

CD4+ T-cell population for HIV-negative persons

1,000 mm 3

μ T

Natural death rate of CD4+ T-cell

0.02 day 1

μ I

Blanket death rate of infected CD4+ T-cell

0.26 day 1

μ V

Death rate of free virus

2.4 day 1

μ b

Lytic death rate for infected cells

0.24 day 1

k

Rate CD4+ T-cell become infected with virus

2.4× 10 5 mm 3 day 1

k

Rate infected cells become active

2× 10 5 mm 3 day 1

ρ

Rate of each infected cells reverting to the uninfected state

Varies

r

Growth rate of CD4+ T-cell population

0.03 day 1

N

Number of virions produced by infected CD4+ T-cell

Varies

T max

Maximal population level of CD4+ T-cell

1,500 mm 3

s

Source term for uninfected CD4+ T-cell

10 day 1 mm 3