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Power series solutions of fractional Lotka-Volterra equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 بهمن 1403 اصل مقاله (1.18 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.61524.2662 | ||
| نویسندگان | ||
| Jicheng Yu* 1؛ Yuqiang Feng2 | ||
| 1School of Science, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China. | ||
| 21. School of Science, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China. 2. Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan 430081, Hubei, China. | ||
| چکیده | ||
| In this paper, the power series method is applied to fractional Lotka-Volterra equation, which is one of the most famous competition models emerging in demography and economics. We obtain some power series solutions of the governing equation and prove their convergence. In addition, we analyze the various types of competitive roles depicted by this model through the truncated graphs of these power series solutions. From the graphs, we can find that the fractional order affects the speed of population growth or decrease, and this effect can be seen as continuous with respect to the order. | ||
| کلیدواژه‌ها | ||
| Power series method؛ Fractional differential equations؛ Lotka-Volterra model | ||
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آمار تعداد مشاهده مقاله: 42 تعداد دریافت فایل اصل مقاله: 46 |
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