Day 224 · Aug 11

The Mathematics of the 2014 Ebola Outbreak – R₀

In epidemiology, the basic reproduction number R₀ is the average number of secondary infections from one infected person in a susceptible population. R₀ > 1 → exponential growth; R₀ < 1 → disease dies out. For Ebola 2014, R₀ ≈ 1.5–2.0 (much lower than measles ~15). Containment required reducing R₀ below 1 via isolation, contact tracing, and safe burials. The differential equations (SIR model) were used to forecast case numbers. Mathematics guided real‑time policy, showing that early intervention dramatically reduces peak load.

If R₀ = 2 and each generation is 7 days, how many cases after 10 generations (70 days) starting from 1 case? (≈ 2¹⁰ = 1024.)

Practice related topics on DuelMath

Challenge someone →