Analysis of a risk based model for the growth of AIDS infection
Several models for the spread of AIDS within a homosexual community have been proposed that incorporate biased mixing of different risk groups. A simple model is presented that captures many of the features of these more complex models. Analytical expressions are derived for the time to the state of...
| Main Authors: | , , |
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| Format: | Journal article |
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1991
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| _version_ | 1826293242786742272 |
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| author | De Young, G Maini, P Nakamaye, M |
| author_facet | De Young, G Maini, P Nakamaye, M |
| author_sort | De Young, G |
| collection | OXFORD |
| description | Several models for the spread of AIDS within a homosexual community have been proposed that incorporate biased mixing of different risk groups. A simple model is presented that captures many of the features of these more complex models. Analytical expressions are derived for the time to the state of maximum infection (SMI) in a particular risk group, the proportion infected at SMI, and the number of infected individuals as the group approaches SMI. These results agree qualitatively with numerical simulations of the model. |
| first_indexed | 2024-03-07T03:27:06Z |
| format | Journal article |
| id | oxford-uuid:b96d892d-c97b-4ab4-90ae-e63d44ab4228 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:27:06Z |
| publishDate | 1991 |
| record_format | dspace |
| spelling | oxford-uuid:b96d892d-c97b-4ab4-90ae-e63d44ab42282022-03-27T05:02:44ZAnalysis of a risk based model for the growth of AIDS infectionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b96d892d-c97b-4ab4-90ae-e63d44ab4228Mathematical Institute - ePrints1991De Young, GMaini, PNakamaye, MSeveral models for the spread of AIDS within a homosexual community have been proposed that incorporate biased mixing of different risk groups. A simple model is presented that captures many of the features of these more complex models. Analytical expressions are derived for the time to the state of maximum infection (SMI) in a particular risk group, the proportion infected at SMI, and the number of infected individuals as the group approaches SMI. These results agree qualitatively with numerical simulations of the model. |
| spellingShingle | De Young, G Maini, P Nakamaye, M Analysis of a risk based model for the growth of AIDS infection |
| title | Analysis of a risk based model for the growth of AIDS infection |
| title_full | Analysis of a risk based model for the growth of AIDS infection |
| title_fullStr | Analysis of a risk based model for the growth of AIDS infection |
| title_full_unstemmed | Analysis of a risk based model for the growth of AIDS infection |
| title_short | Analysis of a risk based model for the growth of AIDS infection |
| title_sort | analysis of a risk based model for the growth of aids infection |
| work_keys_str_mv | AT deyoungg analysisofariskbasedmodelforthegrowthofaidsinfection AT mainip analysisofariskbasedmodelforthegrowthofaidsinfection AT nakamayem analysisofariskbasedmodelforthegrowthofaidsinfection |