The mathematics of infectious diseases¶
Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review, 42(4), 599-653.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Contagion
- This is not the same as a substance flowing downhill or diffusing along a gradient; what travels in contagion is a state that copies itself on contact, so the affected population can grow super-linearly rather than simply redistributing a fixed quantity.
Supported in partVerified against the publisher's abstract
Abstract only: it states threshold theorems at the reproduction number for classic SIR/SEIR models, backing the R<1 burn-out clause but not the contact-copying or super-linear-growth clauses.
“Threshold theorems involving the basic reproduction number [Formula: see text], the contact number [Formula: see text], and the replacement number [Formula: see text] are reviewed for the classic SIR epidemic and endemic models.”
- This is not the same as a substance flowing downhill or diffusing along a gradient; what travels in contagion is a state that copies itself on contact, so the affected population can grow super-linearly rather than simply redistributing a fixed quantity.
- Propagation
Domain-specific¶
- Differential equation
- The decisive prediction is qualitative and read off the rate law: infection grows only if the basic reproduction number R₀ = β/γ exceeds 1 divided by the susceptible fraction — equivalently, if the replacement number R₀S exceeds 1
This sourceReview of the threshold theorems of the classic SIR epidemic and endemic models in terms of the basic reproduction number, the contact number and the replacement number.
Supported in partVerified against the source
- The decisive prediction is qualitative and read off the rate law: infection grows only if the basic reproduction number R₀ = β/γ exceeds 1 divided by the susceptible fraction — equivalently, if the replacement number R₀S exceeds 1
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Read against the text for 2 of 3 citations: 2 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
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Registry ID ref:17662a566769 · see in the full table