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