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Abstract

In this paper, the homotopy analysis method is applied to the non-linear reaction-diffusion system of Lotka-Volterra type subject of extensive numerical and analytical studies. The comparisons of the other analytical techniques are presented in tables to show the accuracy of this method. The results show that the homotopy analysis method is more reliable than the other available techniques giving the advantage of the choice of some quantities such as initial guess, auxiliary function, an auxiliary parameter that play an important role in the convergence of the series solution.