Skip to main content

Theory and Modern Applications

Table 1 Parameter descriptions of the HIV–VL co-infection model

From: Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective

Parameter

Description

\(\Lambda _{h}\)

Recruitment rate of susceptible humans

\(\Lambda _{s}\)

Recruitment rate of the susceptible sand fly population

\(\Lambda _{r}\)

Recruitment rate of reservoirs

\(\mu _{h}\)

Natural death rate of the human population

\(\mu _{s}\)

Natural death rate of the sand fly population

\(\mu _{r}\)

Natural death rate of the reservoir population

\(a_{l}\)

Biting rate of sand flies

\(b_{l}\)

VL progression rate in sand flies

\(c_{l}\)

VL progression rate in human and sand fly

\(\phi _{1}\), \(\phi _{2}\), \(\phi _{3}\)

Humans recovery rate from VL

\(\delta _{l}\)

VL-induced death rate

\(\delta _{A}\)

AIDS-induced death rate

\(\beta _{h}\)

Effective contact rate for HIV infection

κ

HIV progression rate to AIDS stage

\(\eta _{hh}\), \(\eta _{A}\), \(\eta _{hl}\)

Modification parameters

\(\varepsilon _{1}\), \(\varepsilon _{2}\), τ

Modification parameters