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Epidemiological implications of fractional derivatives in predator-prey systems | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 12 مرداد 1405 اصل مقاله (1.14 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32453.2942 | ||
| نویسندگان | ||
| Hiwa Hussein Rahman* ؛ Kawa Ahmad Hassan؛ Mudhafar Hama | ||
| Department of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah 46001, Iraq | ||
| چکیده | ||
| This study investigates the properties of a fractional-order eco-epidemiological system with linear mass functional responses. The proposed model assumes that disease transmission follows the simple mass action principle, where infection spreads exclusively within the prey population without genetic inheritance. Additionally, the infected individuals do not recover or develop immunity. From a biological perspective, ensuring the positivity of solutions is essential; thus, we establish the existence of a unique, positive, and bounded solution for all time. Our work provides a complete stability analysis for all five equilibrium points (trivial, disease-free, predator-free, infected-free, and interior). Specific Lyapunov functions were identified and employed to demonstrate the stability of the resulting fractional-order system. Our findings indicate that the order of the fractional derivative does not influence the stability of the equilibrium points but significantly affects the convergence rate. | ||
| کلیدواژهها | ||
| Eco-epidemiology؛ fractional model؛ infection role؛ Lyapunov function؛ stability analysis | ||
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آمار تعداد مشاهده مقاله: 13 تعداد دریافت فایل اصل مقاله: 8 |
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