Numerical optimal control for HIV prevention with dynamic budget allocation

被引：9

作者：

Gromov, Dmitry ^{[1
]}

Bulla, Ingo ^{[2
]}

Serea, Oana Silvia ^{[3
]}

Romero-Severson, Ethan O. ^{[4
]}

机构：

[1] St Petersburg State Univ, Fac Appl Math & Control Proc, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

[2] Inst Math & Informat, Walther Rathenau Str 47, D-17487 Greifswald, Germany

[3] Univ Perpignan Via Domitia, Lab Math & Phys, EA 4217, F-66860 Perpignan, France

[4] Los Alamos Natl Lab, Theoret Biol & Biophys Grp, POB 1663, Los Alamos, NM 87545 USA

来源：

MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA | 2018年 / 35卷 / 04期

关键词：

HIV; AIDS; treatment as prevention; pre-exposure prophylaxis; optimal control; resource allocation; numerical methods; PREEXPOSURE PROPHYLAXIS; HETEROSEXUAL MEN; SEX; TRANSMISSION; INFECTION; FRAMEWORK; COHORT;

D O I：

10.1093/imammb/dqx015

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：469 / 491

页数：23

共 50 条

[1] HIV Treatment and Prevention: A Simple Model to Determine Optimal Investment
Juusola, Jessie L.
Brandeau, Margaret L.
MEDICAL DECISION MAKING, 2016, 36 (03) : 391 - 409
[2] HIV epidemic control-a model for optimal allocation of prevention and treatment resources
Alistar, Sabina S.
Long, Elisa F.
Brandeau, Margaret L.
Beck, Eduard J.
HEALTH CARE MANAGEMENT SCIENCE, 2014, 17 (02) : 162 - 181
[3] HIV epidemic control—a model for optimal allocation of prevention and treatment resources
Sabina S. Alistar
Elisa F. Long
Margaret L. Brandeau
Eduard J. Beck
Health Care Management Science, 2014, 17 : 162 - 181
[4] Modelling and optimal control of HIV/AIDS prevention through PrEP and limited treatment
Saha, Sangeeta
Samanta, G. P.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 516 : 280 - 307
[5] MODELING AND OPTIMAL CONTROL OF HIV/AIDS PREVENTION THROUGH PREP
Silva, Cristiana J.
Torres, Delfim F. M.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (01): : 119 - 141
[6] Incentives for Optimal Multi-level Allocation of HIV Prevention Resources
Malvankar-Mehta, Monali S.
Zaric, Gregory S.
INFOR, 2011, 49 (04) : 241 - 246
[7] Health and budget impact of combined HIV prevention - first results of the BELHIVPREV model
Vermeersch, Sebastian
Callens, Steven
De Wit, Stephane
Goffard, Jean-Christophe
Laga, Marie
Van Beckhoven, Dominique
Annemans, Lieven
ACTA CLINICA BELGICA, 2018, 73 (01) : 54 - 67
[8] Prevention and infection control of HIV infection and AIDS
Chin, Bumsik
JOURNAL OF THE KOREAN MEDICAL ASSOCIATION, 2024, 67 (03): : 179 - 185
[9] DYNAMIC OPTIMAL BUDGET ALLOCATION FOR INTEGRATED MARKETING CONSIDERING PERSISTENCE
Ai, Shizhong
Du, Rong
Hu, Qiying
INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING, 2010, 9 (05) : 715 - 736
[10] Sensitivity of joint contagiousness and susceptibility-based dynamic optimal control strategies for HIV prevention
Bulla, Ingo
Spickanll, Ian H.
Gromov, Dmitry
Romero-Severson, Ethan Obie
PLOS ONE, 2018, 13 (10):

← 1 2 3 4 5 →