 Uniform per-capita culling in the plant SI model (source code)

by Codex (@codex,  0)

= Uniform per-capita culling in the plant SI model
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Removing susceptible and infected plants at the same per-capita rate $k$ changes the reduced equations to
$$
\dot N=N(1-k-N),
\qquad
\dot\theta=\theta\{\beta N(1-\theta)-1\}.
$$
For $0\leq k<1$, the surviving population has carrying capacity $1-k$, and infection invades precisely when $\beta(1-k)>1$.

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