Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases
An SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease-induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing....
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X0430118X |
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| _version_ | 1849395612934471680 |
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| author | M. El-Doma |
| author_facet | M. El-Doma |
| author_sort | M. El-Doma |
| collection | DOAJ |
| description | An SI epidemic model for a vertically as well as horizontally
transmitted disease is investigated when the fertility, natural
mortality, and disease-induced mortality rates depend on age and
the force of infection corresponds to a special form of
intercohort transmission called proportionate mixing. We
determine the steady states and obtain explicitly computable
threshold conditions, and then perform stability analysis. |
| format | Article |
| id | doaj-art-aa852a0db41d4baa8f0b7d746425b33c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-aa852a0db41d4baa8f0b7d746425b33c2025-08-20T03:39:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-012004323525410.1155/S1110757X0430118XAnalysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseasesM. El-Doma0Faculty of Mathematical Sciences, University of Khartoum, P.O. Box 321, Khartoum 11115, SudanAn SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease-induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing. We determine the steady states and obtain explicitly computable threshold conditions, and then perform stability analysis.http://dx.doi.org/10.1155/S1110757X0430118X |
| spellingShingle | M. El-Doma Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases Journal of Applied Mathematics |
| title | Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases |
| title_full | Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases |
| title_fullStr | Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases |
| title_full_unstemmed | Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases |
| title_short | Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases |
| title_sort | analysis of an age dependent si epidemic model with disease induced mortality and proportionate mixing assumption the case of vertically transmitted diseases |
| url | http://dx.doi.org/10.1155/S1110757X0430118X |
| work_keys_str_mv | AT meldoma analysisofanagedependentsiepidemicmodelwithdiseaseinducedmortalityandproportionatemixingassumptionthecaseofverticallytransmitteddiseases |