Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model
The biggest public health problem facing the whole world today is the COVID-19 pandemic. From the time COVID-19 came into the limelight, people have been losing their loved ones and relatives as a direct result of this disease. Here, we present a six-compartment epidemiological model that is determ...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
ITB Journal Publisher
2022-12-01
|
| Series: | Journal of Mathematical and Fundamental Sciences |
| Subjects: | |
| Online Access: | https://journals.itb.ac.id/index.php/jmfs/article/view/17355 |
| _version_ | 1797942809865486336 |
|---|---|
| author | Adetayo Samuel Eegunjobi Oluwole Daniel MAKINDE |
| author_facet | Adetayo Samuel Eegunjobi Oluwole Daniel MAKINDE |
| author_sort | Adetayo Samuel Eegunjobi |
| collection | DOAJ |
| description |
The biggest public health problem facing the whole world today is the COVID-19 pandemic. From the time COVID-19 came into the limelight, people have been losing their loved ones and relatives as a direct result of this disease. Here, we present a six-compartment epidemiological model that is deterministic in nature for the emergence and spread of two strains of the COVID-19 disease in a given community, with quarantine and recovery due to treatment. Employing the stability theory of differential equations, the model was qualitatively analyzed. We derived the basic reproduction number for both strains and investigated the sensitivity index of the parameters. In addition to this, we probed the global stability of the disease-free equilibrium. The disease-free equilibrium was revealed to be globally stable, provided and the model exhibited forward bifurcation. A numerical simulation was performed, and pertinent results are displayed graphically and discussed.
|
| first_indexed | 2024-04-10T20:14:30Z |
| format | Article |
| id | doaj.art-6aad4507424f4b2ebbd9366aa1e50253 |
| institution | Directory Open Access Journal |
| issn | 2337-5760 2338-5510 |
| language | English |
| last_indexed | 2024-04-10T20:14:30Z |
| publishDate | 2022-12-01 |
| publisher | ITB Journal Publisher |
| record_format | Article |
| series | Journal of Mathematical and Fundamental Sciences |
| spelling | doaj.art-6aad4507424f4b2ebbd9366aa1e502532023-01-26T07:32:14ZengITB Journal PublisherJournal of Mathematical and Fundamental Sciences2337-57602338-55102022-12-01542Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR ModelAdetayo Samuel Eegunjobi0Oluwole Daniel MAKINDE1Mathematics Department, Namibia University of Science and Technology, Windhoek, NamibiaFaculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa The biggest public health problem facing the whole world today is the COVID-19 pandemic. From the time COVID-19 came into the limelight, people have been losing their loved ones and relatives as a direct result of this disease. Here, we present a six-compartment epidemiological model that is deterministic in nature for the emergence and spread of two strains of the COVID-19 disease in a given community, with quarantine and recovery due to treatment. Employing the stability theory of differential equations, the model was qualitatively analyzed. We derived the basic reproduction number for both strains and investigated the sensitivity index of the parameters. In addition to this, we probed the global stability of the disease-free equilibrium. The disease-free equilibrium was revealed to be globally stable, provided and the model exhibited forward bifurcation. A numerical simulation was performed, and pertinent results are displayed graphically and discussed. https://journals.itb.ac.id/index.php/jmfs/article/view/17355Covid-19Mathematical AnalysisReproduction numberStability theoryStrainsDynamic |
| spellingShingle | Adetayo Samuel Eegunjobi Oluwole Daniel MAKINDE Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model Journal of Mathematical and Fundamental Sciences Covid-19 Mathematical Analysis Reproduction number Stability theory Strains Dynamic |
| title | Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model |
| title_full | Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model |
| title_fullStr | Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model |
| title_full_unstemmed | Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model |
| title_short | Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model |
| title_sort | mathematical analysis of two strains covid 19 disease using seir model |
| topic | Covid-19 Mathematical Analysis Reproduction number Stability theory Strains Dynamic |
| url | https://journals.itb.ac.id/index.php/jmfs/article/view/17355 |
| work_keys_str_mv | AT adetayosamueleegunjobi mathematicalanalysisoftwostrainscovid19diseaseusingseirmodel AT oluwoledanielmakinde mathematicalanalysisoftwostrainscovid19diseaseusingseirmodel |