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Document Type |
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Thesis |
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Document Title |
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Stability analysis of viral respiratory infection models تحليل الإستقرار لنماذج الإصابة الفيروسية للجهاز التنفسي |
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Subject |
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Faculty of Science |
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Document Language |
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Arabic |
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Abstract |
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In this thesis, we are interested in formulating and analyzing a new class of within-host coinfection models for two respiratory viruses, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) and influenza A virus (IAV). The models describe the interaction of SARS-CoV-2, IAV, healthy epithelial cells, infected epithelial cells and immune cells. These models are given by ordinary differential equations (ODEs) or delay differential equations (DDEs). This study includes four main topics that are carried out the following: (i) We have considered dynamical behavior of SARS-CoV-2/IAV coinfection, (ii) we have considered two classes of infected cells, latently infected cells and actively infected cells, (iii) we have included two types of time delay discrete or distributed time delays, (iv) we have included the effect of immune responses, cytotoxic T lymphocyte (CTL) immune response and antibody immune response. For each of our proposed models, we study the basic qualitative properties of the models including the nonnegativity, and boundedness of solutions, which indicate that the models are biologically acceptable. Further, we have computed all equilibria and determined their existence conditions which depend on threshold parameters. We have investigated the global stability of the equilibria by constructing suitable Lyapunov functions and applying LaSalle's invariance principle (LIP). We have performed numerical simulations and demonstrated that they are in good agreement with the theoretical results.
Keywords: SARS-CoV-2; IAV; humoral immunity; CTL immunity; time delay; global stability. |
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Supervisor |
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Supervised by Prof. Ahmed Mohamed Elaiw |
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Thesis Type |
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Master Thesis |
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Publishing Year |
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1445 AH
2023 AD |
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Co-Supervisor |
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Prof. Aatef Hobiny |
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Added Date |
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Sunday, October 15, 2023 |
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Researchers
| رغد سعود السلمي | Alsulami, Raghad Saud | Researcher | Master | |
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