Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model
Coronavirus disease 2019 (COVID-19) is an infection that can result in lung issues such as pneumonia and, in extreme situations, the most severe acute respiratory syndrome. COVID-19 is widely investigated by researchers through mathematical models from different aspects. Inspired from the literature...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2023/5811264 |
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| author | Shuo Li Nasir Hussain Ihsan Ullah Khan Amjid Hussain Shewafera Wondimagegnhu Teklu |
| author_facet | Shuo Li Nasir Hussain Ihsan Ullah Khan Amjid Hussain Shewafera Wondimagegnhu Teklu |
| author_sort | Shuo Li |
| collection | DOAJ |
| description | Coronavirus disease 2019 (COVID-19) is an infection that can result in lung issues such as pneumonia and, in extreme situations, the most severe acute respiratory syndrome. COVID-19 is widely investigated by researchers through mathematical models from different aspects. Inspired from the literature, in the present paper, the generalized deterministic COVID-19 model is considered and examined. The basic reproduction number is obtained which is a key factor in defining the nonlinear dynamics of biological and physical obstacles in the study of mathematical models of COVID-19 disease. To better comprehend the dynamical behavior of the continuous model, two unconditionally stable schemes, i.e., mixed Euler and nonstandard finite difference (NSFD) schemes are developed for the continuous model. For the discrete NSFD scheme, the boundedness and positivity of solutions are discussed in detail. The local stability of disease-free and endemic equilibria is demonstrated by constructing Jacobian matrices for NSFD scheme; nevertheless, the global stability of aforementioned equilibria is verified by using Lyapunov functions. Numerical simulations are also presented that demonstrate how both the schemes are effective and suitable for solving the continuous model. Consequently, the outcomes obtained through these schemes are completely according to the solutions of the continuous model. |
| format | Article |
| id | doaj-art-3ada29e095d74f0583a8f41c197b1a50 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3ada29e095d74f0583a8f41c197b1a502025-02-03T06:45:40ZengWileyDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/5811264Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease ModelShuo Li0Nasir Hussain1Ihsan Ullah Khan2Amjid Hussain3Shewafera Wondimagegnhu Teklu4School of Mathematics and Data SciencesDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsCoronavirus disease 2019 (COVID-19) is an infection that can result in lung issues such as pneumonia and, in extreme situations, the most severe acute respiratory syndrome. COVID-19 is widely investigated by researchers through mathematical models from different aspects. Inspired from the literature, in the present paper, the generalized deterministic COVID-19 model is considered and examined. The basic reproduction number is obtained which is a key factor in defining the nonlinear dynamics of biological and physical obstacles in the study of mathematical models of COVID-19 disease. To better comprehend the dynamical behavior of the continuous model, two unconditionally stable schemes, i.e., mixed Euler and nonstandard finite difference (NSFD) schemes are developed for the continuous model. For the discrete NSFD scheme, the boundedness and positivity of solutions are discussed in detail. The local stability of disease-free and endemic equilibria is demonstrated by constructing Jacobian matrices for NSFD scheme; nevertheless, the global stability of aforementioned equilibria is verified by using Lyapunov functions. Numerical simulations are also presented that demonstrate how both the schemes are effective and suitable for solving the continuous model. Consequently, the outcomes obtained through these schemes are completely according to the solutions of the continuous model.http://dx.doi.org/10.1155/2023/5811264 |
| spellingShingle | Shuo Li Nasir Hussain Ihsan Ullah Khan Amjid Hussain Shewafera Wondimagegnhu Teklu Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model Discrete Dynamics in Nature and Society |
| title | Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model |
| title_full | Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model |
| title_fullStr | Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model |
| title_full_unstemmed | Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model |
| title_short | Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model |
| title_sort | epidemiological characteristics of generalized covid 19 deterministic disease model |
| url | http://dx.doi.org/10.1155/2023/5811264 |
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