Generalizing homotopy analysis method to solve Lotka–Volterra equation

In the paper, we generalized the homotopy analysis method to solve Lotka–Volterra equation. As a simple but typical example, it illustrates the validity and the great potential of the homotopy analysis method to solve differential difference equations. Comparisons are made between the results of the proposed method and exact solutions. The results reveal that the proposed method is valid for the Lotka–Volterra equation.