Solution (source code)

= Solution

The <per capita>[per-capita] net growth rate is the birth rate minus the death rate,
$$
be^{-aN}-d.
$$
Multiplying by the population size gives the <ordinary differential equation>
$$
\boxed{\frac{dN}{dt}=N\left(be^{-aN}-d\right)}.
$$
This is the <exponential density-dependent birth model>.