A new approach to the solution of the prey and predator problem and comparison of the results with the Adomian method

In this article the problem of prey and predator is presented and the power series method is employed to compute an approximation to the solution of the system of nonlinear Volterra differential equations governing the problem. The results are compared with the results using the Adomian decomposition method. Some plots are presented to show the populations of the prey and the predator versus time for illustrating the reliability and simplicity of the method.