Operator splitting methods for the Lotka–Volterra equations

I. Faragó, Gabriella Svantnerné Sebestyén

Research output: Contribution to journalArticle

Abstract

Geometric integrators are numerical methods for differential equations that preserve geometric properties. In this article we investigate the questions of constructing such methods for the well-known Lotka–Volterra predator–prey system by using the operator splitting method. We use different numerical methods combined with the operator splitting method and analyse if they preserve the geometric properties of the original system.

Original languageEnglish
Article number48
JournalElectronic Journal of Qualitative Theory of Differential Equations
Volume2018
DOIs
Publication statusPublished - Jan 1 2018

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Lotka-Volterra Equations
Operator Splitting Method
Mathematical operators
Numerical methods
Numerical Methods
Differential equations
Lotka-Volterra System
Predator-prey System
Differential equation

Keywords

  • Hamilton systems
  • Lotka-Volterra equations
  • Numerical methods
  • Operator splitting

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Operator splitting methods for the Lotka–Volterra equations. / Faragó, I.; Sebestyén, Gabriella Svantnerné.

In: Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2018, 48, 01.01.2018.

Research output: Contribution to journalArticle

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