Infectious Diseases of Humans¶
Anderson, R. M., & May, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control. Oxford University Press.
Cited by¶
12 citations across 12 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Associative Property Transfer
- In epidemiology it is literal disease transmission through contact networks — the causal version of the same structure that, in informational settings, becomes a fallacy.
This sourceStandard reference on disease transmission through contact networks — the literal causal version of the property-on-links structure that, in informational settings, becomes a fallacy.
- In epidemiology it is literal disease transmission through contact networks — the causal version of the same structure that, in informational settings, becomes a fallacy.
- Birthday Problem
- Astronomy — orbital-collision risk among N objects in a finite shell scales quadratically with occupancy. Epidemiology — pairwise contacts in a mixing population scale as N², the origin of density-dependent transmission.
This sourceEstablishes that pairwise contacts in a freely mixing population scale with the product of densities (mass-action transmission), the combinatorial origin of density-dependent transmission.
- Astronomy — orbital-collision risk among N objects in a finite shell scales quadratically with occupancy. Epidemiology — pairwise contacts in a mixing population scale as N², the origin of density-dependent transmission.
- Contact-Response Decomposition
- Epidemiology: force of infection = contact rate × per-contact transmission probability; the SIR β parameter is exactly this product, with distancing acting on contact and vaccination on response.
This sourceFoundational text deriving the force of infection and the transmission rate β as the product of contact rate and per-contact transmission probability.
- Epidemiology: force of infection = contact rate × per-contact transmission probability; the SIR β parameter is exactly this product, with distancing acting on contact and vaccination on response.
- Contagion
- It separates a population into states (susceptible, infected, removed) and names the rate-and-topology conditions under which the infected state propagates across the contact graph rather than fizzling at its source.
This sourceCanonical text establishing the basic reproduction number R₀ as the outbreak-versus-extinction switch, the contact-to-transmission-to-onward-transmission structure, the herd-immunity threshold (susceptible fraction below 1/R₀), and the corresponding intervention classes (reduce transmission, remove susceptibles, sever contacts).
- It separates a population into states (susceptible, infected, removed) and names the rate-and-topology conditions under which the infected state propagates across the contact graph rather than fizzling at its source.
- Containment
- It appears wherever an agent, energy, infection, or consequence must be held in place: reactor vessels holding radioactive material, quarantine zones holding disease vectors, sandboxed software holding untrusted code, detention facilities holding individuals deemed dangerous, and therapeutic frames holding traumatic affect.
This sourceCanonical text establishing the basic reproduction number R₀ as the outbreak-versus-extinction switch and making explicit the presupposition that an uncontrolled infectious agent propagates if left unchecked, the condition containment is designed to interrupt.
- It appears wherever an agent, energy, infection, or consequence must be held in place: reactor vessels holding radioactive material, quarantine zones holding disease vectors, sandboxed software holding untrusted code, detention facilities holding individuals deemed dangerous, and therapeutic frames holding traumatic affect.
- Critical Mass
- Geometry, density, purity, and the presence of reflectors or moderators all shift the threshold, which is why subcritical pieces are safe and assembling them is the whole danger. Epidemiology: An outbreak sustains itself only while the effective reproduction number Rₑ stays above one; herd-immunity thresholds are exactly the immunized fraction needed to push Rₑ below one.
This sourceCanonical text establishing the basic reproduction number R₀ as the outbreak-versus-extinction switch and the herd-immunity threshold (immunize a fraction 1 − 1/R₀ to push Rₑ below one), the exact intervention logic the prime's epidemiology use-case asserts.
- Geometry, density, purity, and the presence of reflectors or moderators all shift the threshold, which is why subcritical pieces are safe and assembling them is the whole danger. Epidemiology: An outbreak sustains itself only while the effective reproduction number Rₑ stays above one; herd-immunity thresholds are exactly the immunized fraction needed to push Rₑ below one.
- Escape and Leakage
- A disease outbreak in a quarantine zone is escape-and-leakage; the subsequent spreading of that disease beyond the zone is propagation, a distinction Anderson and May (1991) maintain throughout their canonical treatment of infectious-disease dynamics.
This sourceCanonical text on infectious-disease dynamics establishing the basic reproduction number and the distinction between an outbreak within a population and the onward propagation/spread of disease; supports separating bounded escape from subsequent propagation.
- A disease outbreak in a quarantine zone is escape-and-leakage; the subsequent spreading of that disease beyond the zone is propagation, a distinction Anderson and May (1991) maintain throughout their canonical treatment of infectious-disease dynamics.
- Evolutionarily Stable Strategy
- Pathogen virulence is the biological mirror: an intermediate virulence level is often an ESS because too-virulent mutants kill hosts before transmitting (lower fitness) while too-mild mutants transmit less, so the resident virulence re-extinguishes both deviations — and the prime's payoff-alteration intervention predicts that changing the transmission structure (e.g., reducing host mobility) shifts the ESS virulence, a lever used in epidemiological control.
This sourceDevelops the transmission-mortality trade-off underlying intermediate optimal virulence (an ESS), and how transmission structure shifts the evolutionarily stable virulence level.
- Pathogen virulence is the biological mirror: an intermediate virulence level is often an ESS because too-virulent mutants kill hosts before transmitting (lower fitness) while too-mild mutants transmit less, so the resident virulence re-extinguishes both deviations — and the prime's payoff-alteration intervention predicts that changing the transmission structure (e.g., reducing host mobility) shifts the ESS virulence, a lever used in epidemiological control.
- Fracture Toughness
- In epidemiology the reproduction number just below or above one is the propagation threshold, and ring vaccination, contact tracing, and firebreaks are toughness interventions operating after initiation.
This sourceEstablishes the basic reproduction number R0 as the propagation threshold for epidemics and the basis of containment interventions such as ring vaccination.
- In epidemiology the reproduction number just below or above one is the propagation threshold, and ring vaccination, contact tracing, and firebreaks are toughness interventions operating after initiation.
- Inoculation Theory
- The six-primitive model supports several inferences. Dose-response: too weak a stimulus fails to activate the defense, too strong overwhelms it, so every inoculation has an effective range. Boomerang risk: exposure without successful refutation can increase susceptibility — the vaccine that gives the disease, the simulation with no debrief that normalizes the unsafe behavior. Generalization gap: immunity holds when test-time threats fall within the training distribution and fails outside it, the structural analogue of antigenic drift and of novel attack vectors. Decay and boosters: adaptive memory fades, so periodic re-exposure maintains resistance. Population versus individual immunity: inoculating enough of a population produces herd effects where low-level threats cannot propagate, with an organizational analogue in security.
This sourceEstablishes herd-immunity thresholds: inoculating a sufficient fraction of a population prevents low-level propagation.
- The six-primitive model supports several inferences. Dose-response: too weak a stimulus fails to activate the defense, too strong overwhelms it, so every inoculation has an effective range. Boomerang risk: exposure without successful refutation can increase susceptibility — the vaccine that gives the disease, the simulation with no debrief that normalizes the unsafe behavior. Generalization gap: immunity holds when test-time threats fall within the training distribution and fails outside it, the structural analogue of antigenic drift and of novel attack vectors. Decay and boosters: adaptive memory fades, so periodic re-exposure maintains resistance. Population versus individual immunity: inoculating enough of a population produces herd effects where low-level threats cannot propagate, with an organizational analogue in security.
- Propagation
- Where can we insert friction?"—a continuous-control reframing developed extensively by Anderson and May (1991) for infectious disease dynamics.
This sourceCanonical text establishing the basic reproduction number R₀ as the outbreak-versus-extinction switch, the contact-to-transmission-to-onward-transmission structure, the herd-immunity threshold (susceptible fraction below 1/R₀), and the corresponding intervention classes (reduce transmission, remove susceptibles, sever contacts).
- Where can we insert friction?"—a continuous-control reframing developed extensively by Anderson and May (1991) for infectious disease dynamics.
- Threshold
- A pharmacologist's threshold analysis transfers to neuroscience (the firing threshold of a neuron), to engineering (material yield strength and fatigue limits), and to epidemiology (the R_0 threshold for outbreak potential), as Anderson and May (1991) make explicit when they generalize threshold logic from R_0 in epidemiology to dose-response thresholds and physiological tolerance limits across host-parasite systems.
This sourceCanonical text establishing the basic reproduction number R₀ as the outbreak-versus-extinction switch, the contact-to-transmission-to-onward-transmission structure, the herd-immunity threshold (susceptible fraction below 1/R₀), and the corresponding intervention classes (reduce transmission, remove susceptibles, sever contacts).
- A pharmacologist's threshold analysis transfers to neuroscience (the firing threshold of a neuron), to engineering (material yield strength and fatigue limits), and to epidemiology (the R_0 threshold for outbreak potential), as Anderson and May (1991) make explicit when they generalize threshold logic from R_0 in epidemiology to dose-response thresholds and physiological tolerance limits across host-parasite systems.
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Before the registry existed this work was also linked 3 other ways.
- https://academic.oup.com/book/53038 ×1
- https://doi.org/10.1093/oso/9780198545996.001.0001 ×1
- https://search.worldcat.org/title/22766547 ×1
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