Optimal Intervention Strategies on TB Epidemiology in a Prison Population

Sibaliwe Maku Vyambwera and Peter Witbooi

Abstract and Applied Analysis, 2024, vol. 2024, issue 1

Abstract: This paper presents a compartmental model in ordinary differential equations of tuberculosis (TB) disease dynamics in a prison population, which is calibrated to reflect the unique conditions of the Democratic Republic of Congo. Data are sourced from various sources of statistics that are publicly available and also from other modeling publications. The model is utilized to determine the optimal roll‐out strategy for a combination of intervention strategies in TB control in a prison population. The two control functions both address treatment but are linked to different infection classes, making them distinct functions of time. Numerical simulations reveal that without well‐planned control measures, TB remains endemic. However, optimal control strategies can potentially eliminate the disease, provided the influx of TB‐infected prisoners is controlled. Implementing these strategies can significantly reduce the number of infectious TB cases while minimizing treatment costs. MSC2020 Classification: 92D30, 34K20

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2024:y:2024:i:1:n:6482099

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