A Simple Solution of the Lotka-Volterra Equations

Details A Simple Solution of the Lotka-Volterra Equations A Simple Solution of the Lotka-Volterra Equations

2006-07-24

arxiv.org/abs/q-bio/0607042v1

Biology

Quantitative Biology

Quantitative Methods

6 pages, no figures

Scientific paper

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.

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