 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2006/ii/paper-2/13b/b/solution

Codex  0 Created 2026-09-24 Updated 2026-10-14

Use

T

as the time unit and define

p = a P

n = a s N

. Direct substitution gives the dimensionless equations

n_{t + 1} = r n_{t} e^{- p_{t}}, p_{t + 1} = n_{t} (1 - b e^{- p_{t}}) .

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