Power series solutions of fractional Lotka-Volterra equation

Yu, Jicheng; Feng, Yuqiang

doi:10.22034/cmde.2025.61524.2662

Power series solutions of fractional Lotka-Volterra equation

Articles in Press

Document Type : Research Paper

Authors

Jicheng Yu ¹
Yuqiang Feng ²

¹ School of Science, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China.

² 1. 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.

10.22034/cmde.2025.61524.2662

Abstract

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.

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