Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical Interventions
The SEIQHR model, introduced in this study, serves as a valuable tool for anticipating the emergence of various infectious diseases, such as COVID-19 and illnesses transmitted by insects. An analysis of the model’s qualitative features was conducted, encompassing the computation of the fundamental r...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/6069996 |
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| author | Ibad Ullah Nigar Ali Ihtisham Ul Haq Imtiaz Ahmad Mohammed Daher Albalwi Md. Haider Ali Biswas |
| author_facet | Ibad Ullah Nigar Ali Ihtisham Ul Haq Imtiaz Ahmad Mohammed Daher Albalwi Md. Haider Ali Biswas |
| author_sort | Ibad Ullah |
| collection | DOAJ |
| description | The SEIQHR model, introduced in this study, serves as a valuable tool for anticipating the emergence of various infectious diseases, such as COVID-19 and illnesses transmitted by insects. An analysis of the model’s qualitative features was conducted, encompassing the computation of the fundamental reproduction number, R0. It was observed that the disease-free equilibrium point remains singular and locally asymptotically stable when R0<1, while the endemic equilibrium point exhibits uniqueness when R0>1. Additionally, specific conditions were outlined to guarantee the local asymptotic stability of both equilibrium points. Employing numerical simulations, the graphical representation illustrated the influence of model parameters on disease dynamics and the potential for its eradication across different noninteger orders of the Caputo derivative. In essence, the adoption of a fractional epidemic model contributes to a deeper comprehension and enhanced biological insights into the dynamics of diseases. |
| format | Article |
| id | doaj-art-a40becd55e8b4ed285bf52f215429678 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a40becd55e8b4ed285bf52f2154296782025-08-20T03:38:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/6069996Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical InterventionsIbad Ullah0Nigar Ali1Ihtisham Ul Haq2Imtiaz Ahmad3Mohammed Daher Albalwi4Md. Haider Ali Biswas5Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsYanbu Industrial CollegeKhulna UniversityThe SEIQHR model, introduced in this study, serves as a valuable tool for anticipating the emergence of various infectious diseases, such as COVID-19 and illnesses transmitted by insects. An analysis of the model’s qualitative features was conducted, encompassing the computation of the fundamental reproduction number, R0. It was observed that the disease-free equilibrium point remains singular and locally asymptotically stable when R0<1, while the endemic equilibrium point exhibits uniqueness when R0>1. Additionally, specific conditions were outlined to guarantee the local asymptotic stability of both equilibrium points. Employing numerical simulations, the graphical representation illustrated the influence of model parameters on disease dynamics and the potential for its eradication across different noninteger orders of the Caputo derivative. In essence, the adoption of a fractional epidemic model contributes to a deeper comprehension and enhanced biological insights into the dynamics of diseases.http://dx.doi.org/10.1155/2024/6069996 |
| spellingShingle | Ibad Ullah Nigar Ali Ihtisham Ul Haq Imtiaz Ahmad Mohammed Daher Albalwi Md. Haider Ali Biswas Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical Interventions International Journal of Mathematics and Mathematical Sciences |
| title | Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical Interventions |
| title_full | Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical Interventions |
| title_fullStr | Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical Interventions |
| title_full_unstemmed | Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical Interventions |
| title_short | Analysis of COVID-19 Disease Model: Backward Bifurcation and Impact of Pharmaceutical and Nonpharmaceutical Interventions |
| title_sort | analysis of covid 19 disease model backward bifurcation and impact of pharmaceutical and nonpharmaceutical interventions |
| url | http://dx.doi.org/10.1155/2024/6069996 |
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