Table 3.

Model parameters

Parameter	Equation	Description	Value
π V	1	Viral replication rate	4.0 (day−1)
c v1	1	Maximum viral clearance rate by the innate system	2 × 103 (virus titer×day−1)
c v2	1	Half saturation constant	3 × 101 (virus titer)
k v1	1	YFV neutralization rate per unit of neutralizing antibodies	4.875 × 10−4 (day−1×A−1)
k v2	1	YFV neutralization rate per unit of CD8 + T cells	1.5694 × 10−3$\left({\text{day}}^{-1}\times T_E^{-1}\right)$
α A P	2	Homeostasis rate of immature APCs	2.5 × 10−3 (day−1)
${\beta }_{A_P}$	2,3	APC maturation rate	3.0 × 10−1 (day−1)
$k_{A_{P1}}$	2,3	With ${\beta }_{A_P}$, defines the minimum production rate of APM	1.0 (dimensionless)
$k_{A_{P2}}$	2,3	Defines the saturation point of APM	2 × 102 (virus titer)
${\delta }_{A_{\mathit{\text{PM}}}}$	3	Death rate of mature APCs	5.38 × 10−1 (day−1)
${\alpha }_{T_N}$	4	Homeostasis rate of CD8 + T cells	2.17 × 10−4 (day−1)
π T	4,5	Activation rate of naïve CD8 + T cells	1 × 10−2 (day−1)
$k_{T_E}$	5	Replication rate of effector CD8 + T cells	1 × 10−5 (day−1)
${\delta }_{T_E}$	5	Death rate of effector CD8 + T cells	1 × 10−1 (day−1)
α B	6	Homeostasis rate of B cells	6.0 (day−1)
π B	6	Replication rate of active B cells	1.77 × 10−3 (day−1)
β S	6,7	Differentiation rate of active B cells in short-lived plasma cells	6.72 × 10−1 (day−1)
β L	6,8	Differentiation rate of active B cells in long-lived plasma cells	8.05 × 10−3 (day−1)
β BM	6,9	Differentiation rate of active B cells in memory B cells	1 × 10−3 (day−1)
δ S	7	Death rate of short-lived plasma cells	2.0 (day−1)
δ L	8	Death rate of long-lived plasma cells	2.22 × 10−4 (day−1)
γ M	8,9	Differentiation rate of memory B cells in long-lived plasma cells	1.95 × 10−6 (day−1)
$k_{B_{M1}}$	9	Proliferation rate of memory B cell	1 × 10−5 (day−1)
$k_{B_{M2}}$	9	Maximum growth constant	10.0 (BM)
π AS	10	Antibody secretion rate (short-lived plasma cell)	5 × 10−1 (day−1)
π AL	10	Antibody secretion rate (long-lived plasma cell)	1.7 × 10−1 (day−1)
δ A	10	Antibody death rate	4 × 10−2 (day−1)a

The value marked with ^a was extracted from [66, 67] apud [68]