Epidemiological Alert

Measles Transmission & Herd Immunity Threshold Simulator

Agent-based spatial viral contagion model & critical MMR vaccination threshold (Vc = 1 - 1/R0) analysis.

Scenario & Parameters

MMR Vaccine Coverage Rate 88%
Basic Reproduction Number (R0) 15
Population Density (Nodes) 500
Critical Herd Threshold: 93.3%
⚠ BELOW THRESHOLD: Outbreak sustained (Secondary Attack >90%)

Why 95% Matters

Measles is one of the most contagious human pathogens known (R0 = 12–18). Airborne particles remain infectious for up to 2 hours in airspace. A single unprotected index case in an 88% community rapidly ignites wide epidemic chains.

Immune/MMR
Susceptible
Incubation (10-14d)
Infectious (Rash/Prodrome)
Recovered
Fatal Outcome
Click Canvas to:
Epidemic Day: Day 1

Real-time Telemetry

Infectious Active
1
Total Infected
1
Effective Rt
1.80
Chain Depth
1 Gen
Susceptible
59
Immune
440
Recovered
0

Estimated Clinical Complications

Hospitalizations (~20%): 0
Pneumonia Risk (1 in 20): 0
Acute Encephalitis (1 in 1,000): 0
Projected Mortality (1-2 per 1,000): 0
Public Health Context: Clinical complications and mortality occur predominantly in unvaccinated populations and infants prior to 12-month MMR dose eligibility.

Mathematical Grounding & Herd Immunity Physics

The critical vaccination threshold is given by $V_c = \frac{1 - 1/R_0}{E}$, where $E$ is the vaccine effectiveness (approx. 97% for 2 doses of MMR):

Clinical Progression & Intervention Protocols

Measles follows a distinct clinical and transmission trajectory:

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