Numerical computations and theoretical investigations of a dynamical system with fractional order derivative
This manuscript is devoted to consider population dynamical model of non-integer order to investigate the recent pandemic Covid-19 named as severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2) disease. We investigate the proposed model corresponding to different values of largely effected sy...
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2022
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oai:doaj.org-article:db7c52b044fe4386ac62167c6f97b6ad2021-11-30T04:13:49ZNumerical computations and theoretical investigations of a dynamical system with fractional order derivative1110-016810.1016/j.aej.2021.07.014https://doaj.org/article/db7c52b044fe4386ac62167c6f97b6ad2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004828https://doaj.org/toc/1110-0168This manuscript is devoted to consider population dynamical model of non-integer order to investigate the recent pandemic Covid-19 named as severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2) disease. We investigate the proposed model corresponding to different values of largely effected system parameter of immigration for both susceptible and infected populations. The results for qualitative analysis are established with the help of fixed-point theory and non-linear functional analysis. Moreover, semi-analytical results, related to series solution for the considered system are investigated on applying the transform due to Laplace with Adomian polynomial and decomposition techniques. We have also applied the non-standard finite difference scheme (NSFD) for numerical solution. Finally, both the analysis are supported by graphical results at various fractional order. Both the results are comparable with each other and converging quickly at low order. The whole spectrum and the dynamical behavior for each compartment of the proposed model lying between 0 and 1 are simulated via Matlab.Muhammad ArfanIbrahim MahariqKamal ShahThabet AbdeljawadGhaylen LaouiniPshtiwan Othman MohammedElsevierarticle26A3334A0893A30Engineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 1982-1994 (2022) |
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DOAJ |
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26A33 34A08 93A30 Engineering (General). Civil engineering (General) TA1-2040 |
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26A33 34A08 93A30 Engineering (General). Civil engineering (General) TA1-2040 Muhammad Arfan Ibrahim Mahariq Kamal Shah Thabet Abdeljawad Ghaylen Laouini Pshtiwan Othman Mohammed Numerical computations and theoretical investigations of a dynamical system with fractional order derivative |
| description |
This manuscript is devoted to consider population dynamical model of non-integer order to investigate the recent pandemic Covid-19 named as severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2) disease. We investigate the proposed model corresponding to different values of largely effected system parameter of immigration for both susceptible and infected populations. The results for qualitative analysis are established with the help of fixed-point theory and non-linear functional analysis. Moreover, semi-analytical results, related to series solution for the considered system are investigated on applying the transform due to Laplace with Adomian polynomial and decomposition techniques. We have also applied the non-standard finite difference scheme (NSFD) for numerical solution. Finally, both the analysis are supported by graphical results at various fractional order. Both the results are comparable with each other and converging quickly at low order. The whole spectrum and the dynamical behavior for each compartment of the proposed model lying between 0 and 1 are simulated via Matlab. |
| format |
article |
| author |
Muhammad Arfan Ibrahim Mahariq Kamal Shah Thabet Abdeljawad Ghaylen Laouini Pshtiwan Othman Mohammed |
| author_facet |
Muhammad Arfan Ibrahim Mahariq Kamal Shah Thabet Abdeljawad Ghaylen Laouini Pshtiwan Othman Mohammed |
| author_sort |
Muhammad Arfan |
| title |
Numerical computations and theoretical investigations of a dynamical system with fractional order derivative |
| title_short |
Numerical computations and theoretical investigations of a dynamical system with fractional order derivative |
| title_full |
Numerical computations and theoretical investigations of a dynamical system with fractional order derivative |
| title_fullStr |
Numerical computations and theoretical investigations of a dynamical system with fractional order derivative |
| title_full_unstemmed |
Numerical computations and theoretical investigations of a dynamical system with fractional order derivative |
| title_sort |
numerical computations and theoretical investigations of a dynamical system with fractional order derivative |
| publisher |
Elsevier |
| publishDate |
2022 |
| url |
https://doaj.org/article/db7c52b044fe4386ac62167c6f97b6ad |
| work_keys_str_mv |
AT muhammadarfan numericalcomputationsandtheoreticalinvestigationsofadynamicalsystemwithfractionalorderderivative AT ibrahimmahariq numericalcomputationsandtheoreticalinvestigationsofadynamicalsystemwithfractionalorderderivative AT kamalshah numericalcomputationsandtheoreticalinvestigationsofadynamicalsystemwithfractionalorderderivative AT thabetabdeljawad numericalcomputationsandtheoreticalinvestigationsofadynamicalsystemwithfractionalorderderivative AT ghaylenlaouini numericalcomputationsandtheoreticalinvestigationsofadynamicalsystemwithfractionalorderderivative AT pshtiwanothmanmohammed numericalcomputationsandtheoreticalinvestigationsofadynamicalsystemwithfractionalorderderivative |
| _version_ |
1718406893347536896 |