| Yazarlar |
P. Veeresha
|
Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
|
D. G. Prakasha
|
|
Hacı Mehmet Başkonuş
Harran Üniversitesi, Türkiye |
|
Wei Gao
|
| Özet |
| The susceptible-infected-recovered (SIR) epidemic model of childhood disease is analyzed in the present framework with the help of q-homotopy analysis transform method (q-HATM). The considered model consists the system of three differential equations having fractional derivative, and the non-linear system exemplifies the evolution of childhood disease in a population and its influence on the community with susceptible, infected and recovered compartment. The projected method is a mixture of q-homotopy analysis method and Laplace transform. Two distinct explanatory cases are considered, and corresponding simulations have been demonstrated in terms of plots for different value of the order. The present investigation elucidates that the projected both derivative and technique play a vital role in the analysis and illustrate the behaviour of diverse mathematical models described with differential equations in human disease. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University |
| Anahtar Kelimeler |
| Caputo fractional derivative | Laplace transform | Susceptible-infected-recovered epidemic model | q-homotopy analysis method |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | ALEXANDRIA ENGINEERING JOURNAL |
| Dergi ISSN | 1110-0168 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 02-2022 |
| Cilt No | 61 |
| Sayı | 2 |
| Sayfalar | 1747 / 1756 |
| Doi Numarası | 10.1016/j.aej.2021.07.015 |
| Makale Linki | http://dx.doi.org/10.1016/j.aej.2021.07.015 |
| Atıf Sayıları | |
| WoS | 31 |
| Google Scholar | 46 |
