Application of pert urbation-iteration method to Lotka-Volterra equations

AKSOY Y., Göktaş Ü., Pakdemirli M., Dolapçi I. T.

Alexandria Engineering Journal, vol.55, no.2, pp.1661-1666, 2016 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1016/j.aej.2016.02.015
  • Journal Name: Alexandria Engineering Journal
  • Journal Indexes: Scopus
  • Page Numbers: pp.1661-1666
  • Keywords: Lotka-Volterra equations, Perturbation method, Perturbation-iteration method, Symbolic computation, Systems of first order differential equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Perturbation-iteration method is generalized for systems of first order differential equations. Approximate solutions of Lotka-Volterra systems are obtained using the method. Comparisons of our results with each other and with numerical solutions are given. The method is implemented in Mathematica, a major computer algebra system. The package PerturbationIteration.m automatically carries out the tedious calculations of the method.