A local Picard iteration method with geometric stability for multispecies Lotka-Volterra models

In this article, an efficient modification of the Picard iteration method for solving the multispecies Lotka-Volterra modelss (MLVMs) is firstly proposed. Then the convergence and stability of the modified method are discussed. In order to indicate the efficiency of the modified method, three cases of the MLVMs are given. The obtained results evidence that the developed approach is a useful semi-analytical scheme for the solution of the MLVMs.