Approximate Solution of a Model Describing Biological Species Living Together by Taylor Collocation Method

In this paper, a numerical method is presented to obtain approximate solutions for the system of nonlinear delay integro-differential equations derived from considering biological species living together. This method is essentially based on the truncated Taylor series and its matrix representations with collocation points. Also, to illustrate the pertinent features of the method examples are presented and results are compared to the Adomian decomposition method, the variational iteration method, pseudospectral Legendre method. All numerical computations have been performed on the computer algebraic system Maple 15.