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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Bibliographic Details
Main Author: Musiime, Catherine
Format: Thesis
Language:en_US
Published: Kabale University 2022
Subjects:
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
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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