An efficient numerical approach for delayed logistic models
For researchers studying delay differential equations, this offers a more efficient numerical approach, though it is an incremental improvement over existing methods.
The paper proposes a semi-analytical method combining the method of steps and differential transformation to numerically approximate solutions of delayed logistic models, demonstrating improved efficiency over existing methods like variational iteration and Adomian decomposition.
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.