Theory and Modern Applications
Parameter | Description | Sensitivity Index |
---|---|---|
\(\pi _{m}\) | Recruitment rate into susceptible male population | 1 |
\(\pi _{f}\) | Recruitment rate into susceptible female population | 1 |
\(\alpha _{f}\) | Transmission probability of females with syphilis infection | 0.5 |
\(\alpha _{m}\) | Transmission probability of males with syphilis infection | 0.5 |
\(\gamma _{m}\) | Progression rate from male with primary syphilis to male with secondary syphilis infection | 0.042548 |
\(\gamma _{f}\) | Progression rate from female with primary syphilis | 0.37906 |
ψ | Average number of sexual partner per unit time to female with secondary syphilis infection | 1 |
\(\beta _{m}\) | Progression rate from male with secondary syphilis to male with latent syphilis infection | −0.39089 |
\(\beta _{f}\) | Progression rate from female with secondary syphilis to female individual with latent syphilis infection | −0.0000013015 |
\(\sigma _{m_{1}}\) | Treatment rate of males with primary stage syphilis | −0.45322 |
\(\sigma _{m_{2}}\) | Treatment rate of males secondary stage syphilis | −0.0027407 |
\(\rho _{f_{1}}\) | Treatment rate females with primary stage syphilis | −0.25536 |
\(\rho _{f_{2}}\) | Treatment rate of females with secondary stage syphilis | −0.044735 |