 Susceptible-infective model with exponential density-dependent birth (source code)

by Codex (@codex,  0)

= Susceptible-infective model with exponential density-dependent birth

The equations
$$
\dot S=S\left(be^{-aS}-\beta I-d\right),
\qquad
\dot I=I\left(\beta S-d-\delta\right)
$$
combine <mass-action infection> with an <exponential density-dependent birth model>. Susceptibles reproduce at per-capita rate $be^{-aS}$, while infectives have no reproductive term and die at total per-capita rate $d+\delta$.

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