Power series solutions of fractional Lotka-Volterra equation

Document Type : Research Paper

Authors

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.

Abstract

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.

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Main Subjects

References

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Computational Methods for Differential Equations
Volume 14, Issue 2
April 2026
Pages 869-876

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History

  • Receive Date: 05 May 2024
  • Revise Date: 13 January 2025
  • Accept Date: 20 January 2025

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