Optimal control of a multi-scale HIV-opioid model
In this study, we apply optimal control theory to an immuno-epidemiological model of HIV and opioid epidemics. For the multi-scale model, we used four controls: treating the opioid use, reducing HIV risk behaviour among opioid users, entry inhibiting antiviral therapy, and antiviral therapy which bl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2024.2317245 |
| _version_ | 1826945075325698048 |
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| author | Eric Numfor Necibe Tuncer Maia Martcheva |
| author_facet | Eric Numfor Necibe Tuncer Maia Martcheva |
| author_sort | Eric Numfor |
| collection | DOAJ |
| description | In this study, we apply optimal control theory to an immuno-epidemiological model of HIV and opioid epidemics. For the multi-scale model, we used four controls: treating the opioid use, reducing HIV risk behaviour among opioid users, entry inhibiting antiviral therapy, and antiviral therapy which blocks the viral production. Two population-level controls are combined with two within-host-level controls. We prove the existence and uniqueness of an optimal control quadruple. Comparing the two population-level controls, we find that reducing the HIV risk of opioid users has a stronger impact on the population who is both HIV-infected and opioid-dependent than treating the opioid disorder. The within-host-level antiviral treatment has an effect not only on the co-affected population but also on the HIV-only infected population. Our findings suggest that the most effective strategy for managing the HIV and opioid epidemics is combining all controls at both within-host and between-host scales. |
| first_indexed | 2024-03-07T23:51:04Z |
| format | Article |
| id | doaj.art-643c702bfe2747f7b195f9d664d29f4e |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2025-02-17T20:48:59Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-643c702bfe2747f7b195f9d664d29f4e2024-12-09T08:03:24ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662024-12-0118110.1080/17513758.2024.2317245Optimal control of a multi-scale HIV-opioid modelEric Numfor0Necibe Tuncer1Maia Martcheva2Department of Mathematics, Augusta University, Augusta, GA, USADepartment of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL, USADepartment of Mathematics, University of Florida, Gainesville, FL, USAIn this study, we apply optimal control theory to an immuno-epidemiological model of HIV and opioid epidemics. For the multi-scale model, we used four controls: treating the opioid use, reducing HIV risk behaviour among opioid users, entry inhibiting antiviral therapy, and antiviral therapy which blocks the viral production. Two population-level controls are combined with two within-host-level controls. We prove the existence and uniqueness of an optimal control quadruple. Comparing the two population-level controls, we find that reducing the HIV risk of opioid users has a stronger impact on the population who is both HIV-infected and opioid-dependent than treating the opioid disorder. The within-host-level antiviral treatment has an effect not only on the co-affected population but also on the HIV-only infected population. Our findings suggest that the most effective strategy for managing the HIV and opioid epidemics is combining all controls at both within-host and between-host scales.https://www.tandfonline.com/doi/10.1080/17513758.2024.2317245Basic reproduction numberopioid epidemicHIVoptimal controlmulti-scale model92D30 |
| spellingShingle | Eric Numfor Necibe Tuncer Maia Martcheva Optimal control of a multi-scale HIV-opioid model Journal of Biological Dynamics Basic reproduction number opioid epidemic HIV optimal control multi-scale model 92D30 |
| title | Optimal control of a multi-scale HIV-opioid model |
| title_full | Optimal control of a multi-scale HIV-opioid model |
| title_fullStr | Optimal control of a multi-scale HIV-opioid model |
| title_full_unstemmed | Optimal control of a multi-scale HIV-opioid model |
| title_short | Optimal control of a multi-scale HIV-opioid model |
| title_sort | optimal control of a multi scale hiv opioid model |
| topic | Basic reproduction number opioid epidemic HIV optimal control multi-scale model 92D30 |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2024.2317245 |
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