Spread of Epidemic Disease on Networks¶
Newman, M. E. J. (2002). Spread of Epidemic Disease on Networks. Physical Review E, 66(1).
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Contagion
- The epidemiologist's susceptible–infected–removed model and reproduction number transfer directly to computer-worm modeling, to financial stress tests, and to the spread of social behaviors, with the same equations reused and only the state labels changed.
This sourceEstablishes the mapping of the network SIR model onto bond percolation, providing the formal basis for reusing the same equations and reproduction-number reasoning across substrates by relabeling states.
- The epidemiologist's susceptible–infected–removed model and reproduction number transfer directly to computer-worm modeling, to financial stress tests, and to the spread of social behaviors, with the same equations reused and only the state labels changed.
- Percolation
- Epidemiology. An epidemic reaches a finite fraction of a population only when the effective reproduction number crosses a threshold; herd-immunity thresholds and the phase transitions of compartmental models are percolation phenomena on contact networks.
This sourceMaps SIR epidemics onto bond percolation on the contact network, establishing the epidemic threshold as a percolation transition.
Supported in partVerified against the work's full text
Newman maps SIR epidemics onto bond percolation and identifies the epidemic threshold, but never discusses herd-immunity thresholds by name.
“Thus, the model is precisely equivalent to a bond percolation model with bond occupation probability T on the graph represent-”
- Epidemiology. An epidemic reaches a finite fraction of a population only when the effective reproduction number crosses a threshold; herd-immunity thresholds and the phase transitions of compartmental models are percolation phenomena on contact networks.
- Percolation Threshold
- Epidemiology — an outbreak shifts from contained clusters to a system-spanning epidemic at a precise reproductive-number threshold; herd immunity is the symmetric move of knocking the network back below threshold by removing susceptible sites.
This sourceEstablishes the SIR epidemic threshold (R0 = 1) as the percolation threshold on the contact network, with hub targeting as backbone targeting.
Supported in partVerified against the work's full text
Newman equates the SIR epidemic transition with the percolation threshold and notes vaccination maps to site percolation; the R0 = 1 statement and herd-immunity argument are not in the text.
“The transition takes place when T is equal to the critical transmissibility Tc”
- Epidemiology — an outbreak shifts from contained clusters to a system-spanning epidemic at a precise reproductive-number threshold; herd immunity is the symmetric move of knocking the network back below threshold by removing susceptible sites.
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:21319a495db3 · see in the full table