Department of Mathematics, Xavier University of Louisiana, New Orleans, LA 70125, USA.
J Biol Dyn. 2012;6:212-34. doi: 10.1080/17513758.2011.552738. Epub 2011 Jun 24.
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.
本文旨在研究周期受迫 Sigmoid Beverton-Holt 模型[公式:见文本]正解的有界性、极值稳定性和周期性,其中{a(n)}是一个具有周期 p 的正周期序列,且 δ>0。当 δ=1 时,上述方程简化为著名的周期 Pielou logistic 方程,该方程与周期受迫 Beverton-Holt 模型等价。