Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination.
In this study, we discuss a SLIRV model developed by Jonnalagadda & Gaddam (2016) for the transmission of influenza A with vaccination using tools from ordinary differential equations. We show that if the product of the recruitment rate and the ratio of infection rate to mean latent period is le...
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| Format: | Thesis |
| Language: | en_US |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/1665 |
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| _version_ | 1803933476235247616 |
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| author | Musiime, Catherine |
| author_facet | Musiime, Catherine |
| author_sort | Musiime, Catherine |
| collection | KAB-DR |
| description | In this study, we discuss a SLIRV model developed by Jonnalagadda & Gaddam (2016) for the transmission of influenza A with vaccination using tools from ordinary differential equations. We show that if the product of the recruitment rate and the ratio of infection rate to mean latent period is less than the product the sums µ + m, µ + m and + a + y; where µ, a, y, m and 1/ware natural death rate, disease-related death rate, recovery rate, vaccination rate and mean latent period, respectively; then the disease-free equilibrium will be locally and globally asymptotically stable, an indication that that disease can be eradicated from the population. |
| format | Thesis |
| id | oai:idr.kab.ac.ug:20.500.12493-1665 |
| institution | KAB-DR |
| language | en_US |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-16652024-06-12T12:49:53Z Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. Musiime, Catherine Epidemic Analysis Mathematical Modelling Influenza Vaccination In this study, we discuss a SLIRV model developed by Jonnalagadda & Gaddam (2016) for the transmission of influenza A with vaccination using tools from ordinary differential equations. We show that if the product of the recruitment rate and the ratio of infection rate to mean latent period is less than the product the sums µ + m, µ + m and + a + y; where µ, a, y, m and 1/ware natural death rate, disease-related death rate, recovery rate, vaccination rate and mean latent period, respectively; then the disease-free equilibrium will be locally and globally asymptotically stable, an indication that that disease can be eradicated from the population. 2024-01-15T11:57:26Z 2024-01-15T11:57:26Z 2021 Thesis Musiime, Catherine (2021). Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/1665 en_US application/pdf Kabale University |
| spellingShingle | Epidemic Analysis Mathematical Modelling Influenza Vaccination Musiime, Catherine Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. |
| title | Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. |
| title_full | Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. |
| title_fullStr | Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. |
| title_full_unstemmed | Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. |
| title_short | Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination. |
| title_sort | epidemic analysis and mathematical modelling of influenza with vaccination |
| topic | Epidemic Analysis Mathematical Modelling Influenza Vaccination |
| url | http://hdl.handle.net/20.500.12493/1665 |
| work_keys_str_mv | AT musiimecatherine epidemicanalysisandmathematicalmodellingofinfluenzawithvaccination |