Our aim in this paper is to investigate the boundedness, the extreme stability, and the periodicity of positive solutions of the periodically forced Sigmoid Beverton-Holt model: [Formula: see text] where {a ( n )} is a positive periodic sequence with period p and δ>0. In the special case when δ=1, the above equation reduces to the well-known periodic Pielou logistic equation which is known to be equivalent to the periodically forced Beverton-Holt model.

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http://dx.doi.org/10.1080/17513758.2011.552738DOI Listing

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