Analytical solution of Volterra's population model

In this paper, we used an efficient algorithm to obtain an analytic approximation for Volterra's model for population growth of a species in a closed system. The numerical solutions are obtained by combining homotopy perturbation method (HPM) and Padé technique. The approximate solutions are shown graphically. The results show that HPM–Padé tecnique is an appropriate method in solving the nonlinear equations.