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The equation
$$
\dot n=\alpha n-\beta n^3
=\alpha n\left(1-\frac{n^2}{K^2}\right),
\qquad K=\sqrt{\alpha/\beta},
$$
has an unstable zero equilibrium and a stable positive equilibrium $K$. Its per-capita density correction is quadratic rather than the logistic model's linear correction.


Cubic saturation population model

Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 1 / 6A / b / Solution

Cubic saturation population model

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Cubic saturation population model

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