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 variables have simple, time polynomial form. When approximation order tends to infinity obtained approximate solution converges toward exact solution in some finite time interval. 
Vladan Pankovic, Banjac Dejan, Rade Glavatovic, Milan Predojevic