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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