A Mathematical Study for the Transmission of Coronavirus Disease
Globally, the COVID-19 pandemic’s development has presented significant societal and economic challenges. The carriers of COVID-19 transmission have also been identified as asymptomatic infected people. Yet, most epidemic models do not consider their impact when accounting for the disease’s indirect...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/10/2330 |
| _version_ | 1797599206111707136 |
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| author | Huda Abdul Satar Raid Kamel Naji |
| author_facet | Huda Abdul Satar Raid Kamel Naji |
| author_sort | Huda Abdul Satar |
| collection | DOAJ |
| description | Globally, the COVID-19 pandemic’s development has presented significant societal and economic challenges. The carriers of COVID-19 transmission have also been identified as asymptomatic infected people. Yet, most epidemic models do not consider their impact when accounting for the disease’s indirect transmission. This study suggested and investigated a mathematical model replicating the spread of coronavirus disease among asymptomatic infected people. A study was conducted on every aspect of the system’s solution. The equilibrium points and the basic reproduction number were computed. The endemic equilibrium point and the disease-free equilibrium point had both undergone local stability analyses. A geometric technique was used to look into the global dynamics of the endemic point, whereas the Castillo-Chavez theorem was used to look into the global stability of the disease-free point. The system’s transcritical bifurcation at the disease-free point was discovered to exist. The system parameters were changed using the basic reproduction number’s sensitivity technique. Ultimately, a numerical simulation was used to apply the model to the population of Iraq in order to validate the findings and define the factors that regulate illness breakout. |
| first_indexed | 2024-03-11T03:31:27Z |
| format | Article |
| id | doaj.art-91ff3adb05c846b0889d3462bb5b935c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T03:31:27Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-91ff3adb05c846b0889d3462bb5b935c2023-11-18T02:19:25ZengMDPI AGMathematics2227-73902023-05-011110233010.3390/math11102330A Mathematical Study for the Transmission of Coronavirus DiseaseHuda Abdul Satar0Raid Kamel Naji1Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, IraqDepartment of Mathematics, College of Science, University of Baghdad, Baghdad 10071, IraqGlobally, the COVID-19 pandemic’s development has presented significant societal and economic challenges. The carriers of COVID-19 transmission have also been identified as asymptomatic infected people. Yet, most epidemic models do not consider their impact when accounting for the disease’s indirect transmission. This study suggested and investigated a mathematical model replicating the spread of coronavirus disease among asymptomatic infected people. A study was conducted on every aspect of the system’s solution. The equilibrium points and the basic reproduction number were computed. The endemic equilibrium point and the disease-free equilibrium point had both undergone local stability analyses. A geometric technique was used to look into the global dynamics of the endemic point, whereas the Castillo-Chavez theorem was used to look into the global stability of the disease-free point. The system’s transcritical bifurcation at the disease-free point was discovered to exist. The system parameters were changed using the basic reproduction number’s sensitivity technique. Ultimately, a numerical simulation was used to apply the model to the population of Iraq in order to validate the findings and define the factors that regulate illness breakout.https://www.mdpi.com/2227-7390/11/10/2330COVID-19basic reproduction numbersensitivity analysisstabilitybifurcation |
| spellingShingle | Huda Abdul Satar Raid Kamel Naji A Mathematical Study for the Transmission of Coronavirus Disease Mathematics COVID-19 basic reproduction number sensitivity analysis stability bifurcation |
| title | A Mathematical Study for the Transmission of Coronavirus Disease |
| title_full | A Mathematical Study for the Transmission of Coronavirus Disease |
| title_fullStr | A Mathematical Study for the Transmission of Coronavirus Disease |
| title_full_unstemmed | A Mathematical Study for the Transmission of Coronavirus Disease |
| title_short | A Mathematical Study for the Transmission of Coronavirus Disease |
| title_sort | mathematical study for the transmission of coronavirus disease |
| topic | COVID-19 basic reproduction number sensitivity analysis stability bifurcation |
| url | https://www.mdpi.com/2227-7390/11/10/2330 |
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