A Mathematical Model for the Dynamics of Polio

A Research Project Submitted To the Faculty of Education In Partial Fulfillment of the Requirements for the Award of A Bachelor's Degree in Science with Education of Kabale University

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Main Author: Johnan, Owobusingye
Format: Thesis
Language:en_US
Published: Kabale University 2022
Subjects:
Online Access:http://hdl.handle.net/20.500.12493/723
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author Johnan, Owobusingye
author_facet Johnan, Owobusingye
author_sort Johnan, Owobusingye
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description A Research Project Submitted To the Faculty of Education In Partial Fulfillment of the Requirements for the Award of A Bachelor's Degree in Science with Education of Kabale University
format Thesis
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publishDate 2022
publisher Kabale University
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spelling oai:idr.kab.ac.ug:20.500.12493-7232024-06-12T12:49:56Z A Mathematical Model for the Dynamics of Polio Johnan, Owobusingye A Mathematical Model, Dynamics , Polio A Research Project Submitted To the Faculty of Education In Partial Fulfillment of the Requirements for the Award of A Bachelor's Degree in Science with Education of Kabale University There is lack of treatment for poliomyelitis and it is only prevented by means of immunization with live oral polio vaccine (OPV) or/and inactivated polio vaccine (!PY). Poliomyelitis is a very contagious viral infection caused by poliovirus. Children are principally attacked. In this project, we assessed the impact of vaccination in the control of spread of poliomyelitis via a deterministic SVEIR (Susceptible-Vaccinated-Exposed-Infectious-Recovered) model of infectious disease transmission, where vaccinated individuals are also susceptible, although to a lesser degree. Using Lyapunov-Lasalle methods, we proved the global asymptotic stability of the dynamics of the disease whenever Ra < I. Numerical simulations, using poliomyelitis data from Kabale Regional Referral Hospital in Kabale district, have been conducted to approve analytic results and to show the importance of vaccination coverage in the control of disease spread. Kabale University 2022-10-27T12:16:06Z 2022-10-27T12:16:06Z 2021 Thesis http://hdl.handle.net/20.500.12493/723 en_US application/pdf Kabale University
spellingShingle A Mathematical Model, Dynamics , Polio
Johnan, Owobusingye
A Mathematical Model for the Dynamics of Polio
title A Mathematical Model for the Dynamics of Polio
title_full A Mathematical Model for the Dynamics of Polio
title_fullStr A Mathematical Model for the Dynamics of Polio
title_full_unstemmed A Mathematical Model for the Dynamics of Polio
title_short A Mathematical Model for the Dynamics of Polio
title_sort mathematical model for the dynamics of polio
topic A Mathematical Model, Dynamics , Polio
url http://hdl.handle.net/20.500.12493/723
work_keys_str_mv AT johnanowobusingye amathematicalmodelforthedynamicsofpolio
AT johnanowobusingye mathematicalmodelforthedynamicsofpolio