The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment
In this study, we develop a model that incorporates treatment ofboth juveniles who were infected with HIV/AIDS through verticaltransmission and HIV/AIDS-infected adults. We derive conditionsunder which the burden of HIV/AIDS can be reduced in the populationboth in the absence of and in the presence...
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| Format: | Article |
| Language: | English |
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AIMS Press
2006-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.297 |
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| author | Moatlhodi Kgosimore Edward M. Lungu |
| author_facet | Moatlhodi Kgosimore Edward M. Lungu |
| author_sort | Moatlhodi Kgosimore |
| collection | DOAJ |
| description | In this study, we develop a model that incorporates treatment ofboth juveniles who were infected with HIV/AIDS through verticaltransmission and HIV/AIDS-infected adults. We derive conditionsunder which the burden of HIV/AIDS can be reduced in the populationboth in the absence of and in the presence of vertical transmission.We have determined the critical threshold parameter ($R_v^*$), whichrepresents the demographic replacement of infectives throughvertical transmission, below which treated infected juveniles canreach adulthood without causing an epidemic. Five countries insub-Saharan Africa are used to illustrate our results. We haveconcluded that $R_v^*$ is dependent on the current prevalence ratebut that a significant proportion of infected juveniles receivingtreatment can reach adulthood without causing an epidemic. |
| format | Article |
| id | doaj-art-ccce39bd44df40078af1aec4c496df65 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-ccce39bd44df40078af1aec4c496df652025-01-24T01:51:19ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-01-013229731210.3934/mbe.2006.3.297The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of TreatmentMoatlhodi Kgosimore0Edward M. Lungu1Department of Basic Sciences, Botswana College of Agriculture, Private Bag 0027, GaboroneDepartment of Basic Sciences, Botswana College of Agriculture, Private Bag 0027, GaboroneIn this study, we develop a model that incorporates treatment ofboth juveniles who were infected with HIV/AIDS through verticaltransmission and HIV/AIDS-infected adults. We derive conditionsunder which the burden of HIV/AIDS can be reduced in the populationboth in the absence of and in the presence of vertical transmission.We have determined the critical threshold parameter ($R_v^*$), whichrepresents the demographic replacement of infectives throughvertical transmission, below which treated infected juveniles canreach adulthood without causing an epidemic. Five countries insub-Saharan Africa are used to illustrate our results. We haveconcluded that $R_v^*$ is dependent on the current prevalence ratebut that a significant proportion of infected juveniles receivingtreatment can reach adulthood without causing an epidemic.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.297hiv/aidsdemographic replacementvertical transmissionpreva-lencetreatment rate. |
| spellingShingle | Moatlhodi Kgosimore Edward M. Lungu The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment Mathematical Biosciences and Engineering hiv/aids demographic replacement vertical transmission preva-lence treatment rate. |
| title | The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment |
| title_full | The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment |
| title_fullStr | The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment |
| title_full_unstemmed | The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment |
| title_short | The Effects of Vertical Transmission on the Spread of HIV/AIDS in the Presence of Treatment |
| title_sort | effects of vertical transmission on the spread of hiv aids in the presence of treatment |
| topic | hiv/aids demographic replacement vertical transmission preva-lence treatment rate. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.297 |
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