Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 207 / 2 / e / i

Table of contents
- Solution i

Solution

The

S \to E

transition must be redefined. A constant

q_{SE}

gives each susceptible the same external infection pressure even when no infectious person remains. For influenza, the force of infection should depend on the current infectious prevalence. The progression

E \to I

and recovery

I \to R

can retain rates

q_{E I}

and

q_{I R}

.

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