The Impact of Media Coverage and Curfew on the Outbreak of Coronavirus Disease 2019 Model: Stability and Bifurcation
In this study, the spreading of the pandemic coronavirus disease (COVID-19) is formulated mathematically. The objective of this study is to stop or slow the spread of COVID-19. In fact, to stop the spread of COVID-19, the vaccine of the disease is needed. However, in the absence of the vaccine, peop...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/1892827 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546591651659776 |
|---|---|
| author | Afrah K. S. Al-Tameemi Raid K. Naji |
| author_facet | Afrah K. S. Al-Tameemi Raid K. Naji |
| author_sort | Afrah K. S. Al-Tameemi |
| collection | DOAJ |
| description | In this study, the spreading of the pandemic coronavirus disease (COVID-19) is formulated mathematically. The objective of this study is to stop or slow the spread of COVID-19. In fact, to stop the spread of COVID-19, the vaccine of the disease is needed. However, in the absence of the vaccine, people must have to obey curfew and social distancing and follow the media alert coverage rule. In order to maintain these alternative factors, we must obey the modeling rule. Therefore, the impact of curfew, media alert coverage, and social distance between the individuals on the outbreak of disease is considered. Five ordinary differential equations of the first-order are used to represent the model. The solution properties of the system are discussed. The equilibria and the basic reproduction number are computed. The local and global stabilities are studied. The occurrence of local bifurcation near the disease-free equilibrium point is investigated. Numerical simulation is carried out in applying the model to the sample of the Iraqi population through solving the model using the Runge–Kutta fourth-order method with the help of Matlab. It is observed that the complete application of the curfew and social distance makes the basic reproduction number less than one and hence prevents the outbreak of disease. However, increasing the media alert coverage does not prevent the outbreak of disease completely, instead of that it reduces the spread, which means the disease is under control, by reducing the basic reproduction number and making it an approachable one. |
| format | Article |
| id | doaj-art-35c1ef890bcf4c8ebf63b76cbe40df24 |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-35c1ef890bcf4c8ebf63b76cbe40df242025-02-03T06:47:56ZengWileyInternational Journal of Differential Equations1687-96512021-01-01202110.1155/2021/1892827The Impact of Media Coverage and Curfew on the Outbreak of Coronavirus Disease 2019 Model: Stability and BifurcationAfrah K. S. Al-Tameemi0Raid K. Naji1Department of MathematicsDepartment of MathematicsIn this study, the spreading of the pandemic coronavirus disease (COVID-19) is formulated mathematically. The objective of this study is to stop or slow the spread of COVID-19. In fact, to stop the spread of COVID-19, the vaccine of the disease is needed. However, in the absence of the vaccine, people must have to obey curfew and social distancing and follow the media alert coverage rule. In order to maintain these alternative factors, we must obey the modeling rule. Therefore, the impact of curfew, media alert coverage, and social distance between the individuals on the outbreak of disease is considered. Five ordinary differential equations of the first-order are used to represent the model. The solution properties of the system are discussed. The equilibria and the basic reproduction number are computed. The local and global stabilities are studied. The occurrence of local bifurcation near the disease-free equilibrium point is investigated. Numerical simulation is carried out in applying the model to the sample of the Iraqi population through solving the model using the Runge–Kutta fourth-order method with the help of Matlab. It is observed that the complete application of the curfew and social distance makes the basic reproduction number less than one and hence prevents the outbreak of disease. However, increasing the media alert coverage does not prevent the outbreak of disease completely, instead of that it reduces the spread, which means the disease is under control, by reducing the basic reproduction number and making it an approachable one.http://dx.doi.org/10.1155/2021/1892827 |
| spellingShingle | Afrah K. S. Al-Tameemi Raid K. Naji The Impact of Media Coverage and Curfew on the Outbreak of Coronavirus Disease 2019 Model: Stability and Bifurcation International Journal of Differential Equations |
| title | The Impact of Media Coverage and Curfew on the Outbreak of Coronavirus Disease 2019 Model: Stability and Bifurcation |
| title_full | The Impact of Media Coverage and Curfew on the Outbreak of Coronavirus Disease 2019 Model: Stability and Bifurcation |
| title_fullStr | The Impact of Media Coverage and Curfew on the Outbreak of Coronavirus Disease 2019 Model: Stability and Bifurcation |
| title_full_unstemmed | The Impact of Media Coverage and Curfew on the Outbreak of Coronavirus Disease 2019 Model: Stability and Bifurcation |
| title_short | The Impact of Media Coverage and Curfew on the Outbreak of Coronavirus Disease 2019 Model: Stability and Bifurcation |
| title_sort | impact of media coverage and curfew on the outbreak of coronavirus disease 2019 model stability and bifurcation |
| url | http://dx.doi.org/10.1155/2021/1892827 |
| work_keys_str_mv | AT afrahksaltameemi theimpactofmediacoverageandcurfewontheoutbreakofcoronavirusdisease2019modelstabilityandbifurcation AT raidknaji theimpactofmediacoverageandcurfewontheoutbreakofcoronavirusdisease2019modelstabilityandbifurcation AT afrahksaltameemi impactofmediacoverageandcurfewontheoutbreakofcoronavirusdisease2019modelstabilityandbifurcation AT raidknaji impactofmediacoverageandcurfewontheoutbreakofcoronavirusdisease2019modelstabilityandbifurcation |