Measles R0 12-18 Herd Threshold Percent Reference Lookup
Retrieve the idealized measles R0 herd-threshold range with explicit assumptions. Bounded exact-key educational reference only; observations and applicability must be established independently.
Description
Retrieve the idealized measles R0 herd-threshold range with explicit assumptions.
An idealized immunity threshold depends on a reproduction-number model and assumptions about mixing and protection. It should be kept distinct from a guaranteed vaccination-coverage target.
When to use this tool
Retrieve the idealized measles R0 herd-threshold range with explicit assumptions.
- Prepare the supplied key fields for this operation.
- Compare the complete example with the representation used by your own input before carrying the result into another step.
How to use the tool and how it works
- Enter key. Use the exact text syntax, units and index conventions explained below.
- Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
- Read result.reference. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.
Supply key exactly as one of "idealized-range". Check for that own key in the fixed local table and return its stored reference text unchanged. An unsupported key is an input error, rather than a null result; there is no network request, fuzzy matching or dynamic text generation.1
| Input field | Meaning and representation | Accepted input |
|---|---|---|
| key | Exact stored-entry key; spelling and case must match. | "idealized-range" |
| Output field | Interpretation |
|---|---|
| result | Object containing the named outputs below. |
| result.reference | The unchanged stored text for the supported exact key; unsupported keys cause an input error. |
{
"input": {
"key": "idealized-range"
},
"output": {
"result": {
"reference": "For ideal homogeneous mixing and perfect durable immunity, R0=12\u201318 gives 1\u22121/R0 thresholds of 91.6667\u201394.4444 percent. Not an operational vaccine coverage guarantee."
}
}
}Limitations and assumptions
- The tool takes no R0 input and calculates no current outbreak threshold. It returns one fixed theoretical-context note, without evaluating vaccine effectiveness, uneven coverage or waning protection.
- Every declared top-level field is required and unexpected fields are rejected. Numeric inputs must be finite; ordinary text fields are bounded to 8,192 UTF-16 code units, with tighter operation-specific limits where stated.
- Ordinary string lists have at most 128 entries of at most 128 code units each; numeric lists and matrices have separate bounded size checks. Nonfinite results and excessively large serialized outputs are rejected.
- Indexes are zero-based and spans have an exclusive end unless explicitly stated otherwise. A valid false, null or empty-list result is distinct from malformed input.
Alternative or Complementary methods
Keep physical-particle counts, infectious assay units and observed sample proportions distinct. Use the original calibration, product instructions or validated assay method for the specific context; simple conversions and reference notes do not establish infectivity or clinical interpretation.
References
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