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The asymptotic stability of a fractional epidemiological model "Covid 19 Variant Anglais" with Caputo derivative | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 14، شماره 7، مهر 2023، صفحه 35-43 اصل مقاله (535.34 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29874.4282 | ||
| نویسندگان | ||
| Khadija Channan* ؛ Khalid Hilal؛ Ahmed Kajouni | ||
| LMACS, FST of Beni Mellal, Sultan Moulay Slimane University, Morocco | ||
| تاریخ دریافت: 21 بهمن 1401، تاریخ بازنگری: 30 اردیبهشت 1402، تاریخ پذیرش: 05 خرداد 1402 | ||
| چکیده | ||
| We have all been injured by corona and its mutations, not just us but the whole world. The global impact of coronavirus (COVID-19) has been profound and the public health threat it represents is the most serious seen in a respiratory virus since 1918. This paper is concerned with a fractional order $S_{N}S_{C}IR$ model involving the Caputo fractional derivative. The effective methods to solve the fractional epidemic models we introduced to construct a simple and effective analytical technique that can be easily extended and applied to other fractional models and can help guide the concerned bodies in preventing or controlling, even predicting the infectious disease outbreaks. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease-free equilibrium is given; Next, we study the stability of the equilibrium points in the sense of Mittag-Leffler. Moreover, some numerical simulations are included to verify the theoretical achievement. These results provide good evidence for the implications of the theoretical results corresponding to the model. | ||
| کلیدواژه‌ها | ||
| Mittag-Leffler؛ global stability؛ lyapunov function | ||
| مراجع | ||
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