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Susceptible-infective model with exponential density-dependent birth

The equations

\dot{S} = S (b e^{- a S} - β I - d), \dot{I} = I (βS - d - δ)

combine mass-action infection with an exponential density-dependent birth model. Susceptibles reproduce at per-capita rate

b e^{- a S}

, while infectives have no reproductive term and die at total per-capita rate

d + δ

.

Table of contents 80 2
- Disease-free equilibrium of the susceptible-infective model with exponential birth Susceptible-infective model with exponential density-dependent birth 17
- Endemic equilibrium of the susceptible-infective model with exponential birth Susceptible-infective model with exponential density-dependent birth 29

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