Numerical optimal control for HIV prevention with dynamic budget allocation

Dmitry Gromov; Ingo Bulla; Oana Silvia Serea; Ethan O Romero-Severson

doi:10.1093/imammb/dqx015

Numerical optimal control for HIV prevention with dynamic budget allocation

Math Med Biol. 2018 Dec 5;35(4):469-491. doi: 10.1093/imammb/dqx015.

Authors

Dmitry Gromov¹, Ingo Bulla², Oana Silvia Serea³, Ethan O Romero-Severson⁴

Affiliations

¹ Faculty of Applied Mathematics and Control Processes, Saint Petersburg State University, St. Petersburg, Russia.
² Institut für Mathematik und Informatik, Walther-Rathenau-Straße, Greifswald, Germany.
³ Univ. Perpignan Via Domitia, Laboratoire de Mathématique et Physique, Perpignan, France.
⁴ Theoretical Biology and Biophysics Group, Los Alamos National Laboratory, Los Alamos, NM, USA.

PMID: 29106566
DOI: 10.1093/imammb/dqx015

Abstract

This article is about numerical control of HIV propagation. The contribution of the article is threefold: first, a novel model of HIV propagation is proposed; second, the methods from numerical optimal control are successfully applied to the developed model to compute optimal control profiles; finally, the computed results are applied to the real problem yielding important and practically relevant results.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

HIV Infections / economics*
HIV Infections / epidemiology
HIV Infections / prevention & control*
Humans
Models, Theoretical*
Primary Prevention / economics*
Resource Allocation / economics*