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

Author:

Arciga-Alejandre Martin P.ORCID,Sanchez-Ortiz JorgeORCID,Ariza-Hernandez Francisco J.ORCID,Catalan-Angeles Gabriel

Abstract

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference25 articles.

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4. Three-dimensional competitive Lotka-Volterra systems with no periodic orbits;van den Driessche;SIAM J. Appl. Math.,1998

5. Global asymptotic stability of periodic Lotka–Volterra systems with delays

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