Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation Method
The impact of the emergence of Corona virus which affected all parts of the world cannot be over emphasized. COVID-19 has cost hundreds of thousands of human lives globally, presenting healthcare professionals with pressing challenges, and exposed the weaknesses of national health systems worldwide....
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Stefan cel Mare University of Suceava
2023-04-01
|
| Series: | Journal of Applied Computer Science & Mathematics |
| Subjects: | |
| Online Access: | https://jacsm.ro/view/?pid=35_3 |
| _version_ | 1797839727820275712 |
|---|---|
| author | Mutairu Kayode KOLAWOLE Aderonke O. OLUWAROTIMI Kazeem Abidoye ODEYEMI Amos Oladele POPOOLA |
| author_facet | Mutairu Kayode KOLAWOLE Aderonke O. OLUWAROTIMI Kazeem Abidoye ODEYEMI Amos Oladele POPOOLA |
| author_sort | Mutairu Kayode KOLAWOLE |
| collection | DOAJ |
| description | The impact of the emergence of Corona virus which affected all parts of the world cannot be over emphasized. COVID-19 has cost hundreds of thousands of human lives globally, presenting healthcare professionals with pressing challenges, and exposed the weaknesses of national health systems worldwide. Hence, there is a need for more vaccination of individuals which will in turn leads to the eradication of the deadly disease. In this paper, an investigation is carried out for the convergent solution of the model by making use of a reliable Homotopy Perturbation Method (HPM) in exploring the possible solution. Basic Reproduction number was computed using Next Generation Method, The Equilibriums points are determined and the model also explored the sensitivities aspect when the parameters are varied. Fractional model numerically using the Homotopy Perturbation Method (HPM) to obtain the iterative solution of the epidemic model scheme and presenting different forms of graphical results that can be useful to analyze the model. The numerical results show that the spread of the corona – virus disease is reduced by taking adequate and effective vaccines with time |
| first_indexed | 2024-04-09T16:02:49Z |
| format | Article |
| id | doaj.art-60de8bfa0c924d66a8405c5d5adfa388 |
| institution | Directory Open Access Journal |
| issn | 2066-4273 2066-3129 |
| language | English |
| last_indexed | 2024-04-09T16:02:49Z |
| publishDate | 2023-04-01 |
| publisher | Stefan cel Mare University of Suceava |
| record_format | Article |
| series | Journal of Applied Computer Science & Mathematics |
| spelling | doaj.art-60de8bfa0c924d66a8405c5d5adfa3882023-04-25T08:29:35ZengStefan cel Mare University of SuceavaJournal of Applied Computer Science & Mathematics2066-42732066-31292023-04-01171202710.4316/JACSM.202301003Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation MethodMutairu Kayode KOLAWOLE0Aderonke O. OLUWAROTIMI1Kazeem Abidoye ODEYEMI2Amos Oladele POPOOLA3Department of Mathematical Sciences, Faculty of Basic and applied Sciences, Osun State University, Osogbo, NigeriaDepartment of Mathematical Sciences, Faculty of Basic and applied Sciences, Osun State University, Osogbo, NigeriaDepartment of Mathematical Sciences, Faculty of Basic and applied Sciences, Osun State University, Osogbo, NigeriaDepartment of Mathematical Sciences, Faculty of Basic and applied Sciences, Osun State University, Osogbo, NigeriaThe impact of the emergence of Corona virus which affected all parts of the world cannot be over emphasized. COVID-19 has cost hundreds of thousands of human lives globally, presenting healthcare professionals with pressing challenges, and exposed the weaknesses of national health systems worldwide. Hence, there is a need for more vaccination of individuals which will in turn leads to the eradication of the deadly disease. In this paper, an investigation is carried out for the convergent solution of the model by making use of a reliable Homotopy Perturbation Method (HPM) in exploring the possible solution. Basic Reproduction number was computed using Next Generation Method, The Equilibriums points are determined and the model also explored the sensitivities aspect when the parameters are varied. Fractional model numerically using the Homotopy Perturbation Method (HPM) to obtain the iterative solution of the epidemic model scheme and presenting different forms of graphical results that can be useful to analyze the model. The numerical results show that the spread of the corona – virus disease is reduced by taking adequate and effective vaccines with timehttps://jacsm.ro/view/?pid=35_3covid-19basic reproduction numberlocal stabilityglobal stabilityhomotopy perturbation method |
| spellingShingle | Mutairu Kayode KOLAWOLE Aderonke O. OLUWAROTIMI Kazeem Abidoye ODEYEMI Amos Oladele POPOOLA Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation Method Journal of Applied Computer Science & Mathematics covid-19 basic reproduction number local stability global stability homotopy perturbation method |
| title | Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation Method |
| title_full | Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation Method |
| title_fullStr | Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation Method |
| title_full_unstemmed | Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation Method |
| title_short | Analysis of Corona-Virus Mathematical Model in Asymptomatic and Symptomatic Cases with Vaccine using Homotopy Perturbation Method |
| title_sort | analysis of corona virus mathematical model in asymptomatic and symptomatic cases with vaccine using homotopy perturbation method |
| topic | covid-19 basic reproduction number local stability global stability homotopy perturbation method |
| url | https://jacsm.ro/view/?pid=35_3 |
| work_keys_str_mv | AT mutairukayodekolawole analysisofcoronavirusmathematicalmodelinasymptomaticandsymptomaticcaseswithvaccineusinghomotopyperturbationmethod AT aderonkeooluwarotimi analysisofcoronavirusmathematicalmodelinasymptomaticandsymptomaticcaseswithvaccineusinghomotopyperturbationmethod AT kazeemabidoyeodeyemi analysisofcoronavirusmathematicalmodelinasymptomaticandsymptomaticcaseswithvaccineusinghomotopyperturbationmethod AT amosoladelepopoola analysisofcoronavirusmathematicalmodelinasymptomaticandsymptomaticcaseswithvaccineusinghomotopyperturbationmethod |