Symbols

parameters

values

source

fixed disease parameters

$\omega$

Early progression rate

0.0645 years

Diel et al. 2011

$\nu$

Reactivation

0.00375 years

Blower et al. 1995

fixed epidemiological parameters

$\eta$

Recruitment rate of susceptible

0.038/year

Cameroon

${\mu }_{J}J\in \left\{SL\right\}$

specific death rate in population J

0.0098

Cameroon

${\mu }_{vih}$

VIH specific death rate

[0.1]

UNAIDS 2016

${\mu }_T$

TB specific death rate

[0.1]

OMS 2015

( $\alpha$ )

vaccination coverage

variable

${\pi }_1={\eta }_{S}S$

number of susceptible rescued at birth

variable

${\pi }_2={\eta }_{V}V$

number of vaccinated rescued at birth

variable

${\pi }_3={\eta }_{vih}{S}_{vih}$

number of VIH/AIDS patients rescued at birth

variable

$1-p$

proportion to the late latent stage

0.4105 over 23 months

James M, Justin T

p

infectious proportion fraction

0.5895

modifiable parameters

$\sigma =1-CD4\left(rate\right)$

immune deficiency status rate

variable

Cameroon

$\Lambda =\eta S$

variable

Cameroon

$\beta$

Effective contact rate

variable

Cameroon

$\epsilon$

AIDS prevalence rate

variable