HIV/AIDS Model with Early Detection and Treatment

Table 3

Parameter definitions and their values.

Parameter	Definition	Value (yr)^−1	Source
𝜇	Natural mortality rate	0.0222	[1]
𝑑	Disease-induced death rate	0.333	[12]
𝛽𝑚	Male effective contact rate	0.025	Assumed
𝛽𝑓	Female effective contact rate	0.015	Assumed
𝜂𝑚	Average number of male partners per female	3	BMC
𝜂𝑓	Average number of female partners per male	5	BMC
𝜏𝑚	Treatment rate of detected male	0<𝜏𝑚<1	Assumed
𝜏𝑓	Treatment rate of detected female	0<𝜏𝑓<1	Assumed
ℎ	Progression rate of infected females to AIDS	0.125	[13]
𝑧	Progression rate of infected males to AIDS	0.125	[13]
𝛼𝑚	Progression rate of males under treatment to AIDS	0.004	Assumed
𝛼𝑓	Progression rate of females under treatment to AIDS	0.004	Assumed
𝑝𝑚	Reduction in transmission of HIV from treated males	0.02	BMC
𝑝𝑓	Reduction in transmission of HIV from treated females	0.02	BMC
𝑟𝑚	Reduction in transmission of HIV from detected male	0.004	Assumed
𝑟𝑓	Reduction in transmission of HIV from detected female	0.0025	Assumed
𝜎𝑚	Rate at which infected males are detected	0.512	BMC
𝜎𝑓	Rate at which infected females are detected	0.675	BMC
Λ𝑚	Net flow rate into the susceptible male class	100,000	STH
Λ𝑓	Net flow rate into the susceptible female class	100,000	STH