A directly transmitted infection spreads in a large

PHYSICS · Subjective · Fermi University Physics · Thermal, Statistical & Complex Systems · Complex and collective systems · Complex and collective systems

Many Parts, One Behaviour, Ch Epidemics on networks

Problem

A directly transmitted infection spreads in a large, well-mixed population with basic reproduction number R0=1.8R_0 = 1.8. Almost everyone starts susceptible. Using the final-size relation r∞=1−e−R0r∞,r_\infty = 1 - e^{-R_0 r_\infty}, find the fraction of the population eventually infected, r∞r_\infty, to three significant figures.

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