Tau method treatment of a delayed negative feedback equation

Tau method treatment of a delayed negative feedback equation

The step-by-step Tau method is applied to find polynomial approximations to the solution of the nonlinear functional equation, x ˙ ( t ) = − α x ( t − 1 ) [ 1 + x ( t ) ] , t > 0 , which arises in population dynamics. The behavior of the approximate solutions is consistent with the theoretical re...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2005-06, Vol.49 (11), p.1767-1772
1. Verfasser: Khajah, H.G.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Delay equations
Functional differential equations
Mathematical analysis
Mathematical models
Negative feedback
Nonlinearity
Polynomial approximation
Population dynamics
Tau method approximation
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Zusammenfassung:The step-by-step Tau method is applied to find polynomial approximations to the solution of the nonlinear functional equation, x ˙ ( t ) = − α x ( t − 1 ) [ 1 + x ( t ) ] , t > 0 , which arises in population dynamics. The behavior of the approximate solutions is consistent with the theoretical results obtained elsewhere.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2004.10.039