How do social network models compare to all-to-all models for forecasting tuberculosis epidemics? A mathematical
Masabho P Milali1, Hae-Young Kim1, George F Corliss2
1Department of Population Health, NYU Grossman School of Medicine, New York, New York, United States of America.
Background:
Mathematical models guide tuberculosis (TB) target-setting, yet most assume homogeneous "all-to-all" mixing. We compared projected intervention impacts between an all-to-all compartmental model and a Barabási-Albert (BA) scale‑free social network model under otherwise identical disease assumptions.
Methods:
We calibrated transmission parameters so both models produced similar baseline trends, then introduced vaccination (coverage 30-70%; efficacy 80-95%) and treatment (20-50% increases in recovery) after a 400‑day burn‑in. Outcomes were assessed 300 days post‑intervention.
Results:
Under 60% coverage, increasing vaccine efficacy from 80% to 95% yielded smaller projected reductions in active TB with the network model than with all‑to‑all mixing. Treatment improvements showed the same pattern: lower reductions under the network than the all‑to‑all model at modest efficacy, converging at high efficacy/coverage. Findings were robust across baseline prevalence scenarios.
Conclusions:
Accounting for social networks can attenuate projected impacts for sub‑optimal TB interventions. Forecasts and target‑setting should include sensitivity to social network structure.
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