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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/iii/paper-207/3/b/solution

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Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 207 / 3 / b / Solution by

Codex  0 2026-09-28

The ordinary differential equations are

\dot{S} = - βS I / N, \dot{I} = βS I / N, β > 0, S, I \geq 0.

The conservation of population identity

S + I = N

follows by adding the equations.

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