Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination
A Dissertation Submitted To the Faculty of Education in Partial Fulfillment of the Requirements for the A Ward of Bachelor of Science with Education of Kabale University
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Format: | Thesis |
Language: | en_US |
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Kabale University
2022
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Online Access: | http://hdl.handle.net/20.500.12493/733 |
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author | Musiime, Catherine |
author_facet | Musiime, Catherine |
author_sort | Musiime, Catherine |
collection | KAB-DR |
description | A Dissertation Submitted To the Faculty of Education in Partial Fulfillment of the Requirements for the A Ward of Bachelor of Science with Education of Kabale University |
format | Thesis |
id | oai:idr.kab.ac.ug:20.500.12493-733 |
institution | KAB-DR |
language | en_US |
publishDate | 2022 |
publisher | Kabale University |
record_format | dspace |
spelling | oai:idr.kab.ac.ug:20.500.12493-7332024-06-12T12:49:57Z Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination Musiime, Catherine Epidemic Analysis , Mathematical Modelling ,Influenza , Vaccination A Dissertation Submitted To the Faculty of Education in Partial Fulfillment of the Requirements for the A Ward of Bachelor of Science with Education of Kabale University In this study, we discuss an 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 that 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. Kabale University 2022-11-14T13:03:40Z 2022-11-14T13:03:40Z 2021 Thesis http://hdl.handle.net/20.500.12493/733 en_US Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ 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/20.500.12493/733 |
work_keys_str_mv | AT musiimecatherine epidemicanalysisandmathematicalmodellingofinfluenzawithvaccination |