Mathematical Modeling of the HIV/Kaposi’s Sarcoma Coinfection Dynamics in Areas of High HIV Prevalence

Table 1

Parameter values and their estimates.

Parameter	Symbol	Value	Source
HIV rate of transmission	𝛽	0.4801*	Baggaley et al. [5],
			Boily et al. [6]
Death due to AIDS	𝛿1	0.333	Malunguza et al. [7],
			Mukandavire et al. [8]
Death due to AIDS with KS	𝛿2	0.067*	Malunguza et al. [7],
			Mukandavire et al. [8]
Rate of KS acquisition among HIV-infected cohort	𝜖1	0.001	Assumed
Rate of KS acquisition among pre-AIDS cohort	𝜖2	0.002	Assumed
Rate of KS acquisition among AIDS cohort	𝜖3	0.003	Assumed
Relative HIV infectiousness of an HIV-infected individual	𝛾1	0.8	Assumed
Relative HIV infectiousness of a coinfected individual	𝛾2	1.1	Assumed
Relative HIV infectiousness of a pre-AIDS individual	𝛾3	1.2	Assumed
Relative HIV infectiousness of an AIDS individual	𝛾4	1.3	Assumed
Recruitment rate of sexually mature individuals	Λ	800*	Barley et al. [9],
			Malunguza et al. [7]
			Mukandavire et al. [8, 10, 11]
Natural mortality rate	𝜇	0.02	Mukandavire et al. [8]
Treatment rate of infected and coinfected cohorts	𝜙1	Varies	Assumed
Treatment rate of pre-AIDS and pre-AIDS coinfected cohorts	𝜙2	Varies	Assumed
Natural progression to pre-AIDS	𝜓1	0.01	Assumed
Rate of acute KS development in coinfected cohort	𝜏1	0.0001	Assumed
Rate of acute KS development in pre-AIDS coinfected cohort	𝜏2	0.0002	Assumed
Rate of acute KS development in AIDS coinfected cohort	𝜏3	0.0003	Assumed
Natural progression to AIDS	𝜃1	0.1	Mukandavire et al. [8, 10, 11]
Natural progression to AIDS after treatment	𝜃2	0.1	Assumed

∗Denotes a parameter obtained by modifying a value in the given source.