A Simple Solution of the Lotka-Volterra Equations

In this work we consider a simple, approximate, tending toward exact, solution of the system of two usual Lotka-Volterra differential equations. Given solution is obtained by an iterative method. In any finite approximation order of this solution, exponents of the corresponding Lotka-Volterra variab...

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Bibliographic Details
Published inarXiv.org
Main Authors Pankovic, Vladan, Banjac Dejan, Glavatovic, Rade, Predojevic, Milan
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.07.2006
Subjects
Approximation
Differential equations
Mathematical analysis
Polynomials
Volterra integral equations
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Summary:In this work we consider a simple, approximate, tending toward exact, solution of the system of two usual Lotka-Volterra differential equations. Given solution is obtained by an iterative method. In any finite approximation order of this solution, exponents of the corresponding Lotka-Volterra variables have simple, time polynomial form. When approximation order tends to infinity obtained approximate solution converges toward exact solution in some finite time interval.
ISSN:2331-8422