Kermack-McKendrick final size: R_∞ = 1 − exp(−R_0·R_∞); transcendental fixed-point in R_∞

Layer 3 — Biologyin the epidemiology subtree

Kermack-McKendrick final-size framework — the canonical fixed-point equation relating the eventual cumulative attack rate R_∞ (fraction of population ever infected) to the basic reproduction number R_0 (Kermack & McKendrick 1927; Ma & Earn…

Related concepts

Limit of a function
KMK final-size: F=R_∞−1+exp(−R_0·R_∞)=0; dF/dR_∞|_0=1−R_0; outbreak iff R_0>1

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