On an approximate method for the delay logistic equation

This note concerns with the asymptotic properties of solutions of the delay logistic equation. In particular, we point out some false statements in the recent paper Khan et al. [Khan H, Liao SJ, Mohapatra RN, Vajravelu K. An analytical solution for a nonlinear time-delay model in biology. Commun Nonlinear Sci Numer Simulat 2009;14:3141–3148]. Moreover, we show that the author’s method is not able to reveal the basic and important features of the dynamics of the delay logistic equation, and gives misleading results.

Research highlights
► Asymptotic behavior of solutions of the delay logistic equation.
► Applicability of approximate methods for delay differential equations.
► Correction of some false results obtained by homotopy analysis method.