Development of Mathematical Models for Disease Spread and Control

Mathematics — 2025, Undergraduate

This study developed mathematical models for the spread and control of infectious disease. Compartmental models were formulated, analysed for threshold behaviour, and used to examine the effect of intervention parameters on outbreak size. The findings revealed that model thresholds governed whether outbreaks grew or died out, while control parameters such as contact reduction substantially reduced projected cases. The study observed sensitivity to model assumptions. It recommends calibrated compartmental models for public health scenario planning.

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