Table 1 The model parameters and related estimates

δ _i (i=1,2,⋯,12)

Relapse risk

1/78.5

[30]

γ _i (i=1,2,⋯,12)

Recovery rate

1/13

[30]

μ _i (i=1,2,⋯,12)

Rate of removal from sexual activity

0.0231

[31]

q

Assortative coefficient

0.3

[32]

a

Proportion of homosexual behavior

0.02

[33]

c ₁

Transmission coefficient for male

0.228

Estimated

c ₂

Transmission coefficient for female

1.78

Estimated

ϕ

Exponent parameter

0.700

Estimated

ℜ₀

Basic reproduction number

2.07

Estimated