Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study
The COVID-19 pandemic has put the world in threat for a long time. It was first identified in Wuhan, China, in December 2019 and has been declared a pandemic by the WHO. This disease is mainly caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). So far, no vaccine or medicine has...
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| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/2129490 |
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| author | Chandan Maji |
| author_facet | Chandan Maji |
| author_sort | Chandan Maji |
| collection | DOAJ |
| description | The COVID-19 pandemic has put the world in threat for a long time. It was first identified in Wuhan, China, in December 2019 and has been declared a pandemic by the WHO. This disease is mainly caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). So far, no vaccine or medicine has been developed for the proper treatment of this disease, so people are afraid of getting infected. The pandemic has placed many nations at the door of socioeconomic emergencies. Therefore, it is very important to predict the development trend of this epidemic, and we know mathematical modelling is a basic tool to research the dynamic behaviour of disease and predict the spreading trend of the disease. In this study, we have formulated a mathematical model for the COVID-19 outbreak by introducing a quarantine class with media-induced fear in the disease transmission rate to analyze the dynamic behaviour of this epidemic. We have calculated the basic reproduction number R0, and we observed that when R0 < 1, disease-free equilibrium is globally stable whereas if R0> 1, then the system is permanent and there exists a unique endemic equilibrium point. Global stability of the endemic equilibrium point is developed by using Li and Muldowney’s high-dimensional Bendixson criterion. Finally, some numerical simulations are performed using MATLAB to verify our analytical results. |
| format | Article |
| id | doaj-art-55a7fb410f1340378fb64dbfab6023bb |
| institution | OA Journals |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-55a7fb410f1340378fb64dbfab6023bb2025-08-20T02:04:55ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/21294902129490Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical StudyChandan Maji0Department of Mathematics, Vivekananda College, Thakurpukur, IndiaThe COVID-19 pandemic has put the world in threat for a long time. It was first identified in Wuhan, China, in December 2019 and has been declared a pandemic by the WHO. This disease is mainly caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). So far, no vaccine or medicine has been developed for the proper treatment of this disease, so people are afraid of getting infected. The pandemic has placed many nations at the door of socioeconomic emergencies. Therefore, it is very important to predict the development trend of this epidemic, and we know mathematical modelling is a basic tool to research the dynamic behaviour of disease and predict the spreading trend of the disease. In this study, we have formulated a mathematical model for the COVID-19 outbreak by introducing a quarantine class with media-induced fear in the disease transmission rate to analyze the dynamic behaviour of this epidemic. We have calculated the basic reproduction number R0, and we observed that when R0 < 1, disease-free equilibrium is globally stable whereas if R0> 1, then the system is permanent and there exists a unique endemic equilibrium point. Global stability of the endemic equilibrium point is developed by using Li and Muldowney’s high-dimensional Bendixson criterion. Finally, some numerical simulations are performed using MATLAB to verify our analytical results.http://dx.doi.org/10.1155/2021/2129490 |
| spellingShingle | Chandan Maji Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study International Journal of Differential Equations |
| title | Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study |
| title_full | Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study |
| title_fullStr | Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study |
| title_full_unstemmed | Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study |
| title_short | Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study |
| title_sort | impact of media induced fear on the control of covid 19 outbreak a mathematical study |
| url | http://dx.doi.org/10.1155/2021/2129490 |
| work_keys_str_mv | AT chandanmaji impactofmediainducedfearonthecontrolofcovid19outbreakamathematicalstudy |