On the definition and the computation of the basic reproduction ratio R₀ in models for infectious diseases in heterogeneous populations

Diekmann, O., Heesterbeek, J. A. P., & Metz, J. A. J. (1990). On the definition and the computation of the basic reproduction ratio R₀ in models for infectious diseases in heterogeneous populations. Journal of Mathematical Biology, 28(4), 365-382.

Type

Journal article

Intellectual base

Primary research

Year

1990

DOI

10.1007/bf00178324

Link

https://doi.org/10.1007/BF00178324

Cited from

physics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Critical Mass
  • Below the threshold (R < 1, subcritical) activity decays geometrically toward extinction; at the threshold (R = 1, critical) it persists at a steady level; above it (R > 1, supercritical) it grows or sustains without continued external driving.

    This sourceRigorous definition of R₀ as the expected number of secondary cases per typical infected individual, the dominant eigenvalue of the next-generation operator, with the unity threshold separating subcritical decay from supercritical growth.

Domain-specific

• Next-generation matrix
  • … transfers from In a two-group model, entry ij is the expected new type-i infections caused by one type-j infected individual in an otherwise susceptible population. to A modeler states which states count as newly infected and checks that alternative decompositions do not change the epidemiological interpretation..

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:2fe6518ae5df · see in the full table