Differential transform method for Volterra's population growth model
Abstract
In this paper, we obtain an analytical approximation for Volterra's model for population growth of a species in a closed system by using differential transformation method (DTM). This method is one of the approximate methods which can be easily applied to many linear and nonlinear problems and is capable of reducing the size of computational work. The numerical solutions are obtained by combining DTM and Pad $\acute{e}$ technique. The approximate solutions are shown graphically.