Study Models of COVID-19 in Discrete-Time and Fractional-Order
The novel coronavirus disease (SARS-CoV-2) has caused many infections and deaths throughout the world; the spread of the coronavirus pandemic is still ongoing and continues to affect healthcare systems and economies of countries worldwide. Mathematical models are used in many applications for infect...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/6/446 |
| _version_ | 1827737224251179008 |
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| author | Kamel Djeddi Tahar Bouali Ahmed H. Msmali Abdullah Ali H. Ahmadini Ali N. A. Koam |
| author_facet | Kamel Djeddi Tahar Bouali Ahmed H. Msmali Abdullah Ali H. Ahmadini Ali N. A. Koam |
| author_sort | Kamel Djeddi |
| collection | DOAJ |
| description | The novel coronavirus disease (SARS-CoV-2) has caused many infections and deaths throughout the world; the spread of the coronavirus pandemic is still ongoing and continues to affect healthcare systems and economies of countries worldwide. Mathematical models are used in many applications for infectious diseases, including forecasting outbreaks and designing containment strategies. In this paper, we study two types of SIR and SEIR models for the coronavirus. This study focuses on the discrete-time and fractional-order of these models; we study the stability of the fixed points and orbits using the Jacobian matrix and the eigenvalues and eigenvectors of each case; moreover, we estimate the parameters of the two systems in fractional order. We present a statistical study of the coronavirus model in two countries: Saudi Arabia, which has successfully recovered from the SARS-CoV-2 pandemic, and China, where the number of infections remains significantly high. |
| first_indexed | 2024-03-11T02:27:08Z |
| format | Article |
| id | doaj.art-142a65714b4d43eaa626f4499d061573 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T02:27:08Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-142a65714b4d43eaa626f4499d0615732023-11-18T10:29:25ZengMDPI AGFractal and Fractional2504-31102023-05-017644610.3390/fractalfract7060446Study Models of COVID-19 in Discrete-Time and Fractional-OrderKamel Djeddi0Tahar Bouali1Ahmed H. Msmali2Abdullah Ali H. Ahmadini3Ali N. A. Koam4Department of Mathematics and Computer Science, Larbi Ben MHidi University, Oum El Bouaghi 04000, AlgeriaDepartment of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi ArabiaDepartment of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi ArabiaDepartment of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi ArabiaDepartment of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi ArabiaThe novel coronavirus disease (SARS-CoV-2) has caused many infections and deaths throughout the world; the spread of the coronavirus pandemic is still ongoing and continues to affect healthcare systems and economies of countries worldwide. Mathematical models are used in many applications for infectious diseases, including forecasting outbreaks and designing containment strategies. In this paper, we study two types of SIR and SEIR models for the coronavirus. This study focuses on the discrete-time and fractional-order of these models; we study the stability of the fixed points and orbits using the Jacobian matrix and the eigenvalues and eigenvectors of each case; moreover, we estimate the parameters of the two systems in fractional order. We present a statistical study of the coronavirus model in two countries: Saudi Arabia, which has successfully recovered from the SARS-CoV-2 pandemic, and China, where the number of infections remains significantly high.https://www.mdpi.com/2504-3110/7/6/446discrete SIR and SEIR systemsstabilityfractional orderstatistics for Saudi Arabia and Chinaparameter estimation |
| spellingShingle | Kamel Djeddi Tahar Bouali Ahmed H. Msmali Abdullah Ali H. Ahmadini Ali N. A. Koam Study Models of COVID-19 in Discrete-Time and Fractional-Order Fractal and Fractional discrete SIR and SEIR systems stability fractional order statistics for Saudi Arabia and China parameter estimation |
| title | Study Models of COVID-19 in Discrete-Time and Fractional-Order |
| title_full | Study Models of COVID-19 in Discrete-Time and Fractional-Order |
| title_fullStr | Study Models of COVID-19 in Discrete-Time and Fractional-Order |
| title_full_unstemmed | Study Models of COVID-19 in Discrete-Time and Fractional-Order |
| title_short | Study Models of COVID-19 in Discrete-Time and Fractional-Order |
| title_sort | study models of covid 19 in discrete time and fractional order |
| topic | discrete SIR and SEIR systems stability fractional order statistics for Saudi Arabia and China parameter estimation |
| url | https://www.mdpi.com/2504-3110/7/6/446 |
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