Modelling and analysis of an epidemic model with awareness caused by deaths due to fear
In this paper, we establish a compartmental model in which the transmission rate is associated with the fear of being infected by COVID-19. We provide a detailed analysis of the epidemic model and established results for the existence of a positively invariant set. The expression of the basic reprod...
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| Format: | Article |
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Taylor & Francis Group
2025-12-01
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| Series: | Journal of Biological Dynamics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2025.2458890 |
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| author | Ling Xue Junqi Huo Yuxin Zhang |
| author_facet | Ling Xue Junqi Huo Yuxin Zhang |
| author_sort | Ling Xue |
| collection | DOAJ |
| description | In this paper, we establish a compartmental model in which the transmission rate is associated with the fear of being infected by COVID-19. We provide a detailed analysis of the epidemic model and established results for the existence of a positively invariant set. The expression of the basic reproduction number [Formula: see text] is characterized. It is shown that the disease-free equilibrium (DFE) is globally asymptotically stable if [Formula: see text], and the system exhibits a forward bifurcation if [Formula: see text]. When [Formula: see text], the system is uniformly persistent, the DFE is unstable and there exists a unique and globally asymptotic stable endemic equilibrium (EE). We fit unknown parameters using the reported data in Canada from September 1 to October 10, 2021, and carry out sensitivity analysis. The quantitative analysis of the model with awareness demonstrates the significance of reducing the transmission rate and enhancing public protective awareness. |
| format | Article |
| id | doaj-art-bf4cf0a366a44eb991c422d16713dce5 |
| institution | Kabale University |
| issn | 1751-3758 1751-3766 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj-art-bf4cf0a366a44eb991c422d16713dce52025-01-30T07:03:04ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662025-12-0119110.1080/17513758.2025.2458890Modelling and analysis of an epidemic model with awareness caused by deaths due to fearLing Xue0Junqi Huo1Yuxin Zhang2College of Mathematical Sciences, Harbin Engineering University, Harbin, Heilongjiang, People's Republic of ChinaCollege of Mathematical Sciences, Harbin Engineering University, Harbin, Heilongjiang, People's Republic of ChinaCollege of Mathematical Sciences, Harbin Engineering University, Harbin, Heilongjiang, People's Republic of ChinaIn this paper, we establish a compartmental model in which the transmission rate is associated with the fear of being infected by COVID-19. We provide a detailed analysis of the epidemic model and established results for the existence of a positively invariant set. The expression of the basic reproduction number [Formula: see text] is characterized. It is shown that the disease-free equilibrium (DFE) is globally asymptotically stable if [Formula: see text], and the system exhibits a forward bifurcation if [Formula: see text]. When [Formula: see text], the system is uniformly persistent, the DFE is unstable and there exists a unique and globally asymptotic stable endemic equilibrium (EE). We fit unknown parameters using the reported data in Canada from September 1 to October 10, 2021, and carry out sensitivity analysis. The quantitative analysis of the model with awareness demonstrates the significance of reducing the transmission rate and enhancing public protective awareness.https://www.tandfonline.com/doi/10.1080/17513758.2025.2458890COVID-19awarenessbasic reproduction numbertransmission rateequilibrium92D30 |
| spellingShingle | Ling Xue Junqi Huo Yuxin Zhang Modelling and analysis of an epidemic model with awareness caused by deaths due to fear Journal of Biological Dynamics COVID-19 awareness basic reproduction number transmission rate equilibrium 92D30 |
| title | Modelling and analysis of an epidemic model with awareness caused by deaths due to fear |
| title_full | Modelling and analysis of an epidemic model with awareness caused by deaths due to fear |
| title_fullStr | Modelling and analysis of an epidemic model with awareness caused by deaths due to fear |
| title_full_unstemmed | Modelling and analysis of an epidemic model with awareness caused by deaths due to fear |
| title_short | Modelling and analysis of an epidemic model with awareness caused by deaths due to fear |
| title_sort | modelling and analysis of an epidemic model with awareness caused by deaths due to fear |
| topic | COVID-19 awareness basic reproduction number transmission rate equilibrium 92D30 |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2025.2458890 |
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