Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE
A Master of Science thesis in Mathematics by Manal W. Almuzini entitled, “Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE”, submitted in June 2022. Thesis advisors are Dr. Abdul Salam Jarrah and Dr. Hana Sulieman. Soft copy is available (Thesis, Approval Signatures, C...
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| Format: | doctoralThesis |
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2022
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| Online Access: | http://hdl.handle.net/11073/24296 |
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| _version_ | 1864513442077999104 |
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| author | Almuzini, Manal W. |
| author_facet | Almuzini, Manal W. |
| author_role | author |
| dc.contributor.none.fl_str_mv | Jarrah, Abdul Salam Sulieman, Hana |
| dc.creator.none.fl_str_mv | Almuzini, Manal W. |
| dc.date.none.fl_str_mv | 2022-09-27T07:44:04Z 2022-09-27T07:44:04Z 2022-06 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | 29.232-2022.06 http://hdl.handle.net/11073/24296 |
| dc.language.none.fl_str_mv | en_US |
| dc.subject.none.fl_str_mv | COVID-19 Ordinary differential equation models Susceptible Infected Recovered-SIR Susceptible Exposed Infected Recovered-SEIR |
| dc.title.none.fl_str_mv | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/doctoralThesis |
| description | A Master of Science thesis in Mathematics by Manal W. Almuzini entitled, “Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE”, submitted in June 2022. Thesis advisors are Dr. Abdul Salam Jarrah and Dr. Hana Sulieman. Soft copy is available (Thesis, Approval Signatures, Completion Certificate, and AUS Archives Consent Form). |
| format | doctoralThesis |
| id | aus_ec323c4b1ae73ed833bcda1c0bc4e803 |
| identifier_str_mv | 29.232-2022.06 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/24296 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAEAlmuzini, Manal W.COVID-19Ordinary differential equation modelsSusceptible Infected Recovered-SIRSusceptible Exposed Infected Recovered-SEIRA Master of Science thesis in Mathematics by Manal W. Almuzini entitled, “Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE”, submitted in June 2022. Thesis advisors are Dr. Abdul Salam Jarrah and Dr. Hana Sulieman. Soft copy is available (Thesis, Approval Signatures, Completion Certificate, and AUS Archives Consent Form).Mathematical models are widely used in simulating infectious diseases. They are employed to investigate the disease transmission dynamics, forecast its spreading pattern, check the effectiveness of the interventions, or any other point of interest regarding the disease progression. In general, models are expressed in terms of Differential Equations. In this thesis, we propose a mathematical model called the SEIR-VD model (S: Susceptible, E: Exposed, I: Infected, R: Recovered, V: Vaccinated, and D: Deaths) to study the COVID-19 progression and forecast its spreading. We examine the model characteristics and complete its mathematical analysis (stability points, basic reproduction number, and sensitivity analysis). We use the data of the UAE during the vaccination intervention as a case study. Our numerical analysis includes parameter estimation, curve fitting, prediction, and model validation. For the numerical analysis of our proposed SEIR-VD model, we employed a switched hybrid forced model developed in [1] for which the main time interval is divided into sub-intervals, and over these subintervals, the model parameters are forced to be a time-dependent function with the time considered continuous for some selected parameters and discrete for others. Different scenarios for vaccine intervention are considered in order to determine certain rates of fully immunized population. The proposed model can be used to investigate COVID-19 dynamics in other countries when relevant data are available to feed the model.College of Arts and SciencesDepartment of Mathematics and StatisticsMaster of Science in Mathematics (MSMTH)Jarrah, Abdul SalamSulieman, Hana2022-09-27T07:44:04Z2022-09-27T07:44:04Z2022-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdf29.232-2022.06http://hdl.handle.net/11073/24296en_USoai:repository.aus.edu:11073/242962025-06-26T12:27:17Z |
| spellingShingle | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE Almuzini, Manal W. COVID-19 Ordinary differential equation models Susceptible Infected Recovered-SIR Susceptible Exposed Infected Recovered-SEIR |
| status_str | publishedVersion |
| title | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE |
| title_full | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE |
| title_fullStr | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE |
| title_full_unstemmed | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE |
| title_short | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE |
| title_sort | Mathematical Modeling of COVID-19 Transmission and Vaccination: The Case of UAE |
| topic | COVID-19 Ordinary differential equation models Susceptible Infected Recovered-SIR Susceptible Exposed Infected Recovered-SEIR |
| url | http://hdl.handle.net/11073/24296 |