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Open AccessArticle

A Multi-Stage Homotopy Perturbation Method for the Fractional Lotka-Volterra Model

Facultad de Matemáticas, Universidad Autónoma de Guerrero, Av. Lázaro Cárdenas S/N Cd. Universitaria. Chilpancingo, Guerrero C.P. 39087, Mexico
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Symmetry 2019, 11(11), 1330; https://doi.org/10.3390/sym11111330
Received: 21 September 2019 / Revised: 22 October 2019 / Accepted: 22 October 2019 / Published: 24 October 2019
(This article belongs to the Special Issue Recent Advances in Discrete and Fractional Mathematics)
In this work, we propose an efficient multi-stage homotopy perturbation method to find an analytic solution to the fractional Lotka-Volterra model. We obtain its order of accuracy, and we study the stability of the system. Moreover, we present several examples to show of the effectiveness of this method, and we conclude that the value of the derivative order plays an important role in the trajectories velocity. View Full-Text
Keywords: predator-prey model; anomalous dynamical system; Caputo fractional derivative predator-prey model; anomalous dynamical system; Caputo fractional derivative
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Arciga-Alejandre, M.P.; Sanchez-Ortiz, J.; Ariza-Hernandez, F.J.; Catalan-Angeles, G. A Multi-Stage Homotopy Perturbation Method for the Fractional Lotka-Volterra Model. Symmetry 2019, 11, 1330.

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