Table 1.

parameters and initial values of variables in this model.

Parameter	Value	Description	Source
α		Constant of reaction 1	No need
β	∼N (10−5, 2∗10−6)	Forward reaction constant of reaction 2	Estimated based on initial values from (Xu et al., 2023a, 2023b)
γ	10–14	Reverse reaction constant of reaction 2	(Xu et al., 2023a, 2023b)
δ	0.1	Constant of reaction 3&8	Estimated
ε	2	Constant of reaction 4&9	Xu et al (2023a, 2023b)
ζk	1	Constant of reaction 5	Xu et al (2023a, 2023b)
ηs	0.02	Constant of reaction 6	Xu et al (2023a, 2023b)
θ	∼N (1.8∗10−8, 1∗10−9)	Forward reaction constant of reaction 7	Estimated based on initial values from (Xu, Wei, Zhang, & et al, 2023)
λ	10–14	Reverse reaction constant of reaction 7	Xu et al (2023a, 2023b)
μ		Cofactor between released virus and the virus loading in the host	No need
$\mathrm{\rho }$	5∗10−5	Time-dependent declination factor of α (represents declining virulence through time)	Estimated
$\sigma$	4∗10−4	Time-dependent increase factor of μ(represents increasing transmission through time)	Estimated
${\mathrm{\alpha }}_0$i	1	Initial value of α	Xu et al (2023a, 2023b)
${\mu }_0$	10–7	Initial value of μ	Estimated
$x_0$	0	Initial value of antibody-virus complex in each agent	Xu et al (2023a, 2023b)
$y_0$	102	Initial value of antibody level in each agent	Xu et al (2023a, 2023b)
$z_0$	0	Initial value of virus level in each agent	Xu et al (2023a, 2023b)