Mathematical Modeling and Analysis of TB and COVID-19 Coinfection
Tuberculosis (TB) and coronavirus (COVID-19) are both infectious diseases that globally continue affecting millions of people every year. They have similar symptoms such as cough, fever, and difficulty breathing but differ in incubation periods. This paper introduces a mathematical model for the tra...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2449710 |
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| _version_ | 1832550765319684096 |
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| author | Kassahun Getnet Mekonen Shiferaw Feyissa Balcha Legesse Lemecha Obsu Abdulkadir Hassen |
| author_facet | Kassahun Getnet Mekonen Shiferaw Feyissa Balcha Legesse Lemecha Obsu Abdulkadir Hassen |
| author_sort | Kassahun Getnet Mekonen |
| collection | DOAJ |
| description | Tuberculosis (TB) and coronavirus (COVID-19) are both infectious diseases that globally continue affecting millions of people every year. They have similar symptoms such as cough, fever, and difficulty breathing but differ in incubation periods. This paper introduces a mathematical model for the transmission dynamics of TB and COVID-19 coinfection using a system of nonlinear ordinary differential equations. The well-posedness of the proposed coinfection model is then analytically studied by showing properties such as the existence, boundedness, and positivity of the solutions. The stability analysis of the equilibrium points of submodels is also discussed separately after computing the basic reproduction numbers. In each case, the disease-free equilibrium points of the submodels are proved to be both locally and globally stable if the reproduction numbers are less than unity. Besides, the coinfection disease-free equilibrium point is proved to be conditionally stable. The sensitivity and bifurcation analysis are also studied. Different simulation cases were performed to supplement the analytical results. |
| format | Article |
| id | doaj-art-91acaecb00c14b99a96ca5a36359f5b4 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-91acaecb00c14b99a96ca5a36359f5b42025-02-03T06:05:54ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/2449710Mathematical Modeling and Analysis of TB and COVID-19 CoinfectionKassahun Getnet Mekonen0Shiferaw Feyissa Balcha1Legesse Lemecha Obsu2Abdulkadir Hassen3Department of Applied MathematicsDepartment of Applied MathematicsDepartment of Applied MathematicsDepartment of MathematicsTuberculosis (TB) and coronavirus (COVID-19) are both infectious diseases that globally continue affecting millions of people every year. They have similar symptoms such as cough, fever, and difficulty breathing but differ in incubation periods. This paper introduces a mathematical model for the transmission dynamics of TB and COVID-19 coinfection using a system of nonlinear ordinary differential equations. The well-posedness of the proposed coinfection model is then analytically studied by showing properties such as the existence, boundedness, and positivity of the solutions. The stability analysis of the equilibrium points of submodels is also discussed separately after computing the basic reproduction numbers. In each case, the disease-free equilibrium points of the submodels are proved to be both locally and globally stable if the reproduction numbers are less than unity. Besides, the coinfection disease-free equilibrium point is proved to be conditionally stable. The sensitivity and bifurcation analysis are also studied. Different simulation cases were performed to supplement the analytical results.http://dx.doi.org/10.1155/2022/2449710 |
| spellingShingle | Kassahun Getnet Mekonen Shiferaw Feyissa Balcha Legesse Lemecha Obsu Abdulkadir Hassen Mathematical Modeling and Analysis of TB and COVID-19 Coinfection Journal of Applied Mathematics |
| title | Mathematical Modeling and Analysis of TB and COVID-19 Coinfection |
| title_full | Mathematical Modeling and Analysis of TB and COVID-19 Coinfection |
| title_fullStr | Mathematical Modeling and Analysis of TB and COVID-19 Coinfection |
| title_full_unstemmed | Mathematical Modeling and Analysis of TB and COVID-19 Coinfection |
| title_short | Mathematical Modeling and Analysis of TB and COVID-19 Coinfection |
| title_sort | mathematical modeling and analysis of tb and covid 19 coinfection |
| url | http://dx.doi.org/10.1155/2022/2449710 |
| work_keys_str_mv | AT kassahungetnetmekonen mathematicalmodelingandanalysisoftbandcovid19coinfection AT shiferawfeyissabalcha mathematicalmodelingandanalysisoftbandcovid19coinfection AT legesselemechaobsu mathematicalmodelingandanalysisoftbandcovid19coinfection AT abdulkadirhassen mathematicalmodelingandanalysisoftbandcovid19coinfection |