This paper examines the fractional order of influenza using an epidemic model. The stability of disease-free and positive fixed points is explored and studied. The Adams-Bashforth-Moulton algorithm is employed to determine the solution and also simulate the system of differential equations. It is observed that Adams-Bashforth-Moulton method gives similar results as obtained in Runge-Kutta technique and ODE 45.
Published in | Applied and Computational Mathematics (Volume 4, Issue 2) |
DOI | 10.11648/j.acm.20150402.17 |
Page(s) | 77-82 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2015. Published by Science Publishing Group |
Fractional Order Calculus, Influenza A, Adams-Bashforth- Moulton
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APA Style
Bonyah Ebenezer. (2015). On Fractional Order Influenza A Epidemic Model. Applied and Computational Mathematics, 4(2), 77-82. https://doi.org/10.11648/j.acm.20150402.17
ACS Style
Bonyah Ebenezer. On Fractional Order Influenza A Epidemic Model. Appl. Comput. Math. 2015, 4(2), 77-82. doi: 10.11648/j.acm.20150402.17
AMA Style
Bonyah Ebenezer. On Fractional Order Influenza A Epidemic Model. Appl Comput Math. 2015;4(2):77-82. doi: 10.11648/j.acm.20150402.17
@article{10.11648/j.acm.20150402.17, author = {Bonyah Ebenezer}, title = {On Fractional Order Influenza A Epidemic Model}, journal = {Applied and Computational Mathematics}, volume = {4}, number = {2}, pages = {77-82}, doi = {10.11648/j.acm.20150402.17}, url = {https://doi.org/10.11648/j.acm.20150402.17}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150402.17}, abstract = {This paper examines the fractional order of influenza using an epidemic model. The stability of disease-free and positive fixed points is explored and studied. The Adams-Bashforth-Moulton algorithm is employed to determine the solution and also simulate the system of differential equations. It is observed that Adams-Bashforth-Moulton method gives similar results as obtained in Runge-Kutta technique and ODE 45.}, year = {2015} }
TY - JOUR T1 - On Fractional Order Influenza A Epidemic Model AU - Bonyah Ebenezer Y1 - 2015/03/30 PY - 2015 N1 - https://doi.org/10.11648/j.acm.20150402.17 DO - 10.11648/j.acm.20150402.17 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 77 EP - 82 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20150402.17 AB - This paper examines the fractional order of influenza using an epidemic model. The stability of disease-free and positive fixed points is explored and studied. The Adams-Bashforth-Moulton algorithm is employed to determine the solution and also simulate the system of differential equations. It is observed that Adams-Bashforth-Moulton method gives similar results as obtained in Runge-Kutta technique and ODE 45. VL - 4 IS - 2 ER -