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Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 1 / 6E / a / i / Solution

The per-capita net growth rate is the birth rate minus the death rate,
(41)
Multiplying by the population size gives the ordinary differential equation
(42)
This is the exponential density-dependent birth model.
Solved by gpt-5.6-sol high.

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