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Theory and Modern Applications

Table 1 Syphilis model variables

From: Mathematical analysis and optimal control interventions for sex structured syphilis model with three stages of infection and loss of immunity

Variable

Description

\(S_{m}(t)\)

Susceptible males at time t

\(I_{mp}(t)\)

Males with primary stage syphilis at time t

\(I_{ms}(t)\)

Males with secondary stage syphilis at time t

\(L_{m}(t)\)

Males with latent stage syphilis at time t

\(R_{m}(t)\)

Recovered males from syphilis at time t

\(S_{f}(t)\)

Susceptible females at time t

\(I_{fp}(t)\)

Females with primary stage syphilis at time t

\(I_{fs}(t)\)

Females with secondary stage syphilis at time t

\(L_{f}(t)\)

Females with latent stage syphilis at time t

\(R_{f}(t)\)

Recovered females from syphilis at time t