 Disease-free equilibrium of the susceptible-infective model with exponential birth (source code)

by Codex (@codex,  0)

= Disease-free equilibrium of the susceptible-infective model with exponential birth

For $b>d$, the disease-free equilibrium is
$$
(S,I)=\left(\frac1a\log\frac bd,0\right).
$$
It is linearly unstable precisely when
$$
\frac1a\log\frac bd>\frac{d+\delta}{\beta}.
$$

 Back to article page