Power-series solution of compartmental epidemiological models
In this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods to solve the corresponding systems of nonlinear differential equations. A simple and classical SIR compartmental model is considered to reveal clearly the idea of our approach. Moreover...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-05-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2021163?viewType=HTML |
| _version_ | 1830188471944216576 |
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| author | H. M. Srivastava I. Area J. J. Nieto |
| author_facet | H. M. Srivastava I. Area J. J. Nieto |
| author_sort | H. M. Srivastava |
| collection | DOAJ |
| description | In this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods to solve the corresponding systems of nonlinear differential equations. A simple and classical SIR compartmental model is considered to reveal clearly the idea of our approach. Moreover, a SAIRP compartmental model is also analyzed by using the same methodology, previously applied to the COVID-19 pandemic. Numerical experiments are performed to show the accuracy of this approach. |
| first_indexed | 2024-12-17T22:45:56Z |
| format | Article |
| id | doaj.art-9e23f8effbc04eb28dd7ec443a0ae707 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-17T22:45:56Z |
| publishDate | 2021-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-9e23f8effbc04eb28dd7ec443a0ae7072022-12-21T21:29:48ZengAIMS PressMathematical Biosciences and Engineering1551-00182021-05-011843274329010.3934/mbe.2021163Power-series solution of compartmental epidemiological modelsH. M. Srivastava0I. Area1J. J. Nieto21. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada 2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 3. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan 4. Section of Mathematics, International Telematic University Uninettuno, Rome I-00186, Italy5. Universidade de Vigo, Departamento de Matemática Aplicada II, E.E. Aeronáutica e do Espazo, Campus As Lagoas-Ourense, Ourense 32004, Spain6. Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela 15782, SpainIn this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods to solve the corresponding systems of nonlinear differential equations. A simple and classical SIR compartmental model is considered to reveal clearly the idea of our approach. Moreover, a SAIRP compartmental model is also analyzed by using the same methodology, previously applied to the COVID-19 pandemic. Numerical experiments are performed to show the accuracy of this approach.https://www.aimspress.com/article/doi/10.3934/mbe.2021163?viewType=HTMLcompartmental epidemiological modelpower-series solutioncovid-19numerical approximation |
| spellingShingle | H. M. Srivastava I. Area J. J. Nieto Power-series solution of compartmental epidemiological models Mathematical Biosciences and Engineering compartmental epidemiological model power-series solution covid-19 numerical approximation |
| title | Power-series solution of compartmental epidemiological models |
| title_full | Power-series solution of compartmental epidemiological models |
| title_fullStr | Power-series solution of compartmental epidemiological models |
| title_full_unstemmed | Power-series solution of compartmental epidemiological models |
| title_short | Power-series solution of compartmental epidemiological models |
| title_sort | power series solution of compartmental epidemiological models |
| topic | compartmental epidemiological model power-series solution covid-19 numerical approximation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2021163?viewType=HTML |
| work_keys_str_mv | AT hmsrivastava powerseriessolutionofcompartmentalepidemiologicalmodels AT iarea powerseriessolutionofcompartmentalepidemiologicalmodels AT jjnieto powerseriessolutionofcompartmentalepidemiologicalmodels |