Power series solutions of fractional Lotka-Volterra equation

Yu, Jicheng; Feng, Yuqiang

doi:10.22034/cmde.2025.61524.2662

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	Power series solutions of fractional Lotka-Volterra equation
Computational Methods for Differential Equations
مقاله 23، دوره 14، شماره 2، تیر 2026، صفحه 869-876 اصل مقاله (445.59 K)
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 the fractional Lotka-Volterra equation, one of the most famous competition models 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

مراجع
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Power series solutions of fractional Lotka-Volterra equation