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Revista de Matemática Teoría y Aplicaciones

versión impresa ISSN 1409-2433

Rev. Mat vol.27 no.1 San José ene./jun. 2020

http://dx.doi.org/10.15517/rmta.v27i1.39951 

Artículo

Feasible and ethical allocation of intervention resources for infectious diseases using linear programming

Asignación factible ética de recursos de intervención para enfermedades infecciosas mediante programación lineal

David J. Gerberry1 

Sally Blower2 

1Xavier University; Department of Mathematics; Cincinnati; Ohio; United States; david.gerberry@xavier.edu

2University of California; David Geffen School of Medicine; Los Angeles; California; United States; sblower@mednet.ucla.edu

Abstract

In this work, we demonstrate that the consideration of a fixed epidemic and the use of linear programming can be an effective tool for designing rollout strategies for infectious disease interventions. Specifically, we argue that the approach can be more flexible, more amenable to detailed allocation plans and more in line with the way that public policy decisions are made than standard optimal control allocations. We also show how feasibility and ethical constraints can be incorporated into resource allocations.

As an application, we consider the initial rollout of Treatment as Prevention (TasP) resources for HIV (human immunodeficiency virus) in South Africa that began within the last decade. Going back to TasP’s initial rollout allows us to demonstrate the strengths of this approach.

Keywords: mathematical model; infectious disease; resource allocation; linear programming; HIV; treatment as prevention; South Africa.

Resumen

En este trabajo, demostramos que la consideración de una epidemia fija y el uso de la programación lineal puede ser una herramienta efectiva para diseñar estrategias de lanzamiento para intervenciones de enfermedades infecciosas. Específicamente, argumentamos que el enfoque puede ser más flexible, más susceptible a planes de asignación detallados y más en línea con la forma en que se toman las decisiones de política pública que las asignaciones de control óptimo estándar. También, mostramos cómo la viabilidad y las restricciones éticas pueden incorporarse en las asignaciones de recursos.

Como aplicación, consideramos la implementación inicial de los recursos de Tratamiento como Prevención (TasP) para el VIH (virus de inmunodeficiencia humana) en Sudáfrica que comenzó en la última década. Volver al lanzamiento inicial de TasP nos permite demostrar las fortalezas de este enfoque.

Palabras clave: modelo matemático; enfermedad infecciosa; asignación de recursos; programación lineal; VIH; tratamiento como prevención; Sudáfrica.

Mathematics Subject Classification: 92B05, 92D30, 90C05.

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Received: July 19, 2019; Revised: September 17, 2019; Accepted: October 31, 2019

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