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Zbl 1220.65103
Röst, Gergely
On an approximate method for the delay logistic equation. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3470-3474 (2011). ISSN 1007-5704

Summary: 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 by {\it H. Khan, S. J. Liao, R. N. Mohapatra} and {\it K. Vajravelu} [``An analytical solution for a nonlinear time-delay model in biology", Commun. Nonlinear Sci. Numer. Simul. 14, No.~7, 3141--3148 (2009), doi:10.1016/j.cnsns.2008.11.003]. Moreover, we show that the authors' method is not able to reveal the basic and important features of the dynamics of the delay logistic equation, and gives misleading results.

MSC 2000:: *65L12 Finite difference methods for ODE

Keywords: delay logistic equation; homotopy analysis method

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