Solving Predator-Prey Model Using Maple 18 Coded Variational Iteration Method (VIM)

Abstract

In this paper, MAPLE 18 codes are used to utilize Variational
Iteration method for the numerical solution of two species LotkaVolterra prey-predator interaction species which are governed by a
system of nonlinear differential equations. Two examples are
provided to show the ability and reliability of the method. The
obtained approximate solution shows that Variational Iteration
Method (VIM) is powerful numerical technique for solving a system
of nonlinear differential equation, which can be easily applied to
other nonlinear problems in biomathematics. This technique has
shown to be very effective and yields accurate results.