HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives
We formulate an HIV/AIDS deterministic model which incorporatesdifferential infectivity and disease progression for treatment-naiveand treatment-experienced HIV/AIDS infectives. To illustrate ourmodel, we have applied it to estimate adult HIV prevalence, the HIVpopulation, the number of new infectiv...
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AIMS Press
2009-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.427 |
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| _version_ | 1832590173162962944 |
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| author | Esther Chigidi Edward M. Lungu |
| author_facet | Esther Chigidi Edward M. Lungu |
| author_sort | Esther Chigidi |
| collection | DOAJ |
| description | We formulate an HIV/AIDS deterministic model which incorporatesdifferential infectivity and disease progression for treatment-naiveand treatment-experienced HIV/AIDS infectives. To illustrate ourmodel, we have applied it to estimate adult HIV prevalence, the HIVpopulation, the number of new infectives and the number of AIDSdeaths for Botswana for the period 1984 to 2012. It is found thatthe prevalence peaked in the year 2000 and the HIV population is nowdecreasing. We have also found that under the current conditions,the reproduction number is $R_c\approx1.3$, which is less than the2004 estimate of $R_c$ ≃ 4 by [11] and[13]. The results in this study suggest that the HAARTprogram has yielded positive results for Botswana. |
| format | Article |
| id | doaj-art-26066f439263496987f34b8933e79464 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-26066f439263496987f34b8933e794642025-01-24T01:59:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-05-016342745010.3934/mbe.2009.6.427HIV model incorporating differential progression for treatment-naive and treatment-experienced infectivesEsther Chigidi0Edward M. Lungu1University of Botswana, P B 0022, GaboroneUniversity of Botswana, P B 0022, GaboroneWe formulate an HIV/AIDS deterministic model which incorporatesdifferential infectivity and disease progression for treatment-naiveand treatment-experienced HIV/AIDS infectives. To illustrate ourmodel, we have applied it to estimate adult HIV prevalence, the HIVpopulation, the number of new infectives and the number of AIDSdeaths for Botswana for the period 1984 to 2012. It is found thatthe prevalence peaked in the year 2000 and the HIV population is nowdecreasing. We have also found that under the current conditions,the reproduction number is $R_c\approx1.3$, which is less than the2004 estimate of $R_c$ ≃ 4 by [11] and[13]. The results in this study suggest that the HAARTprogram has yielded positive results for Botswana.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.427haartstabilityequilibriumhaart susceptiblehiv prevalence.relative impactprogression reduction factorinfectivity reduction factor |
| spellingShingle | Esther Chigidi Edward M. Lungu HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives Mathematical Biosciences and Engineering haart stability equilibrium haart susceptible hiv prevalence. relative impact progression reduction factor infectivity reduction factor |
| title | HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives |
| title_full | HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives |
| title_fullStr | HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives |
| title_full_unstemmed | HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives |
| title_short | HIV model incorporating differential progression for treatment-naive and treatment-experienced infectives |
| title_sort | hiv model incorporating differential progression for treatment naive and treatment experienced infectives |
| topic | haart stability equilibrium haart susceptible hiv prevalence. relative impact progression reduction factor infectivity reduction factor |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.427 |
| work_keys_str_mv | AT estherchigidi hivmodelincorporatingdifferentialprogressionfortreatmentnaiveandtreatmentexperiencedinfectives AT edwardmlungu hivmodelincorporatingdifferentialprogressionfortreatmentnaiveandtreatmentexperiencedinfectives |