Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host)
A mathematical model is investigated to analyze the biological interactions between the immune system and SARS-CoV (within host). Homotopy Perturbation Method is executed to obtain an analytical solution to the non-linear system of ordinary differential equations. Graphical illustration to these sol...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2023-03-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1074 |
| _version_ | 1797852427403132928 |
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| author | Pavithra Sivasamy Vanthana Ramesh Kumar |
| author_facet | Pavithra Sivasamy Vanthana Ramesh Kumar |
| author_sort | Pavithra Sivasamy |
| collection | DOAJ |
| description | A mathematical model is investigated to analyze the biological interactions
between the immune system and SARS-CoV (within host).
Homotopy Perturbation Method is executed to obtain an analytical
solution to the non-linear system of ordinary differential equations.
Graphical illustration to these solutions is also presented. The reliability
and the simplicity of the aforementioned method is studied
through the comparison between the numerical and graphical results.
This comparison aids the better understanding of the disease dynamics
and also the establishment of probable strategies for the treatment
of COVID-19. |
| first_indexed | 2024-04-09T19:32:56Z |
| format | Article |
| id | doaj.art-190f6b14ac604d78b55f4e147266950b |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-09T19:32:56Z |
| publishDate | 2023-03-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-190f6b14ac604d78b55f4e147266950b2023-04-04T20:02:56ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-03-0146010.23755/rm.v46i0.1074777Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host)Pavithra Sivasamy0Vanthana Ramesh Kumar1The Standard Fireworks Rajaratnam College for Women, Sivakasi 626123,The Standard Fireworks Rajaratnam College for Women, Sivakasi 626123,A mathematical model is investigated to analyze the biological interactions between the immune system and SARS-CoV (within host). Homotopy Perturbation Method is executed to obtain an analytical solution to the non-linear system of ordinary differential equations. Graphical illustration to these solutions is also presented. The reliability and the simplicity of the aforementioned method is studied through the comparison between the numerical and graphical results. This comparison aids the better understanding of the disease dynamics and also the establishment of probable strategies for the treatment of COVID-19.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1074mathematical modeling, covid-19, non -linear initial value problem, homotopy perturbation method. |
| spellingShingle | Pavithra Sivasamy Vanthana Ramesh Kumar Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host) Ratio Mathematica mathematical modeling, covid-19, non -linear initial value problem, homotopy perturbation method. |
| title | Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host) |
| title_full | Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host) |
| title_fullStr | Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host) |
| title_full_unstemmed | Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host) |
| title_short | Theoretical Analysis on the Growth Kinetics of SARS-CoV (within host) |
| title_sort | theoretical analysis on the growth kinetics of sars cov within host |
| topic | mathematical modeling, covid-19, non -linear initial value problem, homotopy perturbation method. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1074 |
| work_keys_str_mv | AT pavithrasivasamy theoreticalanalysisonthegrowthkineticsofsarscovwithinhost AT vanthanarameshkumar theoreticalanalysisonthegrowthkineticsofsarscovwithinhost |