| Yazarlar |
Waleed Adel
Faculty of Engineering, Egypt |
Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye |
|
Kottakkaran Sooppy Nisar
Prince Sattam Bin Abdulaziz University, Saudi Arabia |
|
Praveen Agarwal
Anand International College of Engineering, India |
|
A. El-Mesady
Faculty of Electronic Engineering, Egypt |
| Özet |
| This research focuses on the design of a novel fractional model for simulating the ongoing spread of the coronavirus (COVID-19). The model is composed of multiple categories named susceptible S(t), infected I(t), treated T(t), and recovered R(t) with the susceptible category further divided into two subcategories S1(t) and S2(t). In light of the need for restrictive measures such as mandatory masks and social distancing to control the virus, the study of the dynamics and spread of the virus is an important topic. In addition, we investigate the positivity of the solution and its boundedness to ensure positive results. Furthermore, equilibrium points for the system are determined, and a stability analysis is conducted. Additionally, this study employs the analytical technique of the Laplace Adomian decomposition method (LADM) to simulate the different compartments of the model, taking into account various scenarios. The Laplace transform is used to convert the nonlinear resulting equations into an equivalent linear form, and the Adomian polynomials are utilized to treat the nonlinear terms. Solving this set of equations yields the solution for the state variables. To further assess the dynamics of the model, numerical simulations are conducted and compared with the results from LADM. Additionally, a comparison with real data from Italy is demonstrated, which shows a perfect agreement between the obtained data using the numerical and Laplace Adomian techniques. The graphical simulation is employed to investigate the effect of fractional-order terms, and an analysis of parameters is done to observe how quickly stabilization can be achieved with or without confinement rules. It is demonstrated that if no confinement rules are applied, it will take longer for stabilization after more people have been affected; however, if strict measures and a low contact rate are implemented, stabilization can be reached sooner. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Scientific Reports |
| Dergi ISSN | 2045-2322 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 02-2024 |
| Cilt No | 14 |
| Sayı | 1 |
| Sayfalar | 2926 / 0 |
| Doi Numarası | 10.1038/s41598-023-50889-5 |
| Makale Linki | http://dx.doi.org/10.1038/s41598-023-50889-5 |
| Atıf Sayıları | |
| SCOPUS | 7 |
| Google Scholar | 7 |
