Table 1.

Estimated parameters without migration with their respective uncertainties.

Parameter description	Symbol	Estimate	95% CI
HIV transmissibility	$\beta$	9.7847e-01	(9.7805e-01, 9.7888e-01)
Rate of HIV progression to AIDS	$\alpha$	7.7416e-02	(7.7322e-02, 7.7511e-02)
Natural mortality rate	$d$	3.9060e-01	(3.9056e-01, 3.9064e-01)
Recruitment rate of birth	$b$	4.2249e-10	(-1.6762e+00, 1.6762e+00)
HIV mortality rate	$\mu$	1.7396e-12	(-4.6967e-04, 4.6967e-04)
AIDS mortality rate	$\epsilon$	4.8233e-07	(-5.5380e-04, 5.5476e-05)