Stability and approximate analytic solutions of the fractional Lotka-Volterra equations for three competitors

DOI10.1186/s13662-016-0943-yzbMath1418.92092OpenAlexW2512030669WikidataQ59466556 ScholiaQ59466556MaRDI QIDQ1628006

Shao-mei Fang, Chang-hong Guo

Publication date: 3 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0943-y

zbMATH Keywords

asymptotic stabilityhomotopy perturbation methodapproximate analytic solutionsfractional Lotka-Volterra equations

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)

Related Items (6)

High order algorithms for numerical solution of fractional differential equations ⋮ Self-organization with memory ⋮ On a method of solution of systems of fractional pseudo-differential equations ⋮ Stability analysis for a new fractional order \(N\) species network ⋮ Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology ⋮ An inverse problem of determining orders of systems of fractional pseudo-differential equations

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