Hamidane, Nacira, Salah Derradji, Lylia, Aouchal, Sofiane. (1401). Analysis of SIRC model for influenza A with Caputo-Fabrizio derivative. هنرهای کاربردی, 13(2), 1239-1259. doi: 10.22075/ijnaa.2022.25049.2899
Nacira Hamidane; Lylia Salah Derradji; Sofiane Aouchal. "Analysis of SIRC model for influenza A with Caputo-Fabrizio derivative". هنرهای کاربردی, 13, 2, 1401, 1239-1259. doi: 10.22075/ijnaa.2022.25049.2899
Hamidane, Nacira, Salah Derradji, Lylia, Aouchal, Sofiane. (1401). 'Analysis of SIRC model for influenza A with Caputo-Fabrizio derivative', هنرهای کاربردی, 13(2), pp. 1239-1259. doi: 10.22075/ijnaa.2022.25049.2899
Hamidane, Nacira, Salah Derradji, Lylia, Aouchal, Sofiane. Analysis of SIRC model for influenza A with Caputo-Fabrizio derivative. هنرهای کاربردی, 1401; 13(2): 1239-1259. doi: 10.22075/ijnaa.2022.25049.2899

Analysis of SIRC model for influenza A with Caputo-Fabrizio derivative

International Journal of Nonlinear Analysis and Applications
مقاله 102، دوره 13، شماره 2، مهر 2022، صفحه 1239-1259    اصل مقاله (3.57 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25049.2899
نویسندگان
Nacira Hamidane* 1؛ Lylia Salah Derradji2؛ Sofiane Aouchal3
1Laboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000, Annaba, Algeria
2Department of Mathematics, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000, Annaba, Algeria
3Laboratory of Embedded Systems (LASE), Department of Computer Science, Badji Mokhtar-Annaba University, P.O. Box 12, 23000, Annaba, Algeria
چکیده
In this manuscript, we study the fractional-order SIRC epidemiological model for influenza A in the human population in the Caputo-Fabrizio sense. The existence and uniqueness of the solution of the proposed problem are established using fixed point theory. The local stability of both disease-free equilibrium and endemic equilibrium points is investigated. Using the three-step fractional Adams-Bashforth scheme, an iterative solution of our system is generated. In the numerical simulation, many plots are given for different values of the fractional order to check the stability of equilibrium points. Also, the effect of varying some parameters of the model was presented. Furthermore, we compared our numerical solutions with those using Caputo fractional derivative model via graphical representations. The obtained results show the efficiency and accuracy of our approach.
کلیدواژه‌ها
Caputo-Fabrizio derivative؛ SIRC model؛ stability؛ Fixed point theory؛ Three-step fractional Adams-Bashforth scheme
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