  In the paper an efficient semi-analytical approach based on the method of
steps and differential transformation is proposed for numerical approximation
of solutions of retarded logistic models of delayed and neutral type, including
models with several constant delays. Algorithms for both commensurate and
non-commensurate delays are described, applications are shown in examples.
Validity and efficiency of the presented algorithms is compared with
variational iteration method, Adomian decomposition method and polynomial least
squares method numerically. Matlab package DDE23 is used to produce reference
numerical values.
