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.
- 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.
- 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¶
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