Homotopy Analysis Solution to Lokta-Volterra Ecological ModelWU Zi-ku (School of Sciences,Qingdao Agriculture University,Qingdao 266109,China)Lokta-Volterra ecological model was considered.It is impossible to get its analytical solution because of nonlinearity.Using the homotopy analysis method,the approximation of the solution for the model was obtained.Different from other analytical techniques it provides us a simple way to ensure the convergence of solution series,so that one can get accurate enough analytical approximations.Compared to the numerical solution,the approximation solution from the method was agreement well with the numerical solution.It shows the method is feasible to studying Lokta-Volterra ecological model.ecological model;homotopy analysis;nonlinear