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]â€¦ (More)

It is well known that the periodic cycle {x(n)} of a periodically forced nonlinear difference equation is attenuant (resonant) if av(x(n)) < av(K(n))(av(x(n)) > av(K(n))),where {K ( n )} is theâ€¦ (More)

In this difference equation, Stability, Periodicity, boundedness, global Stability. We investigate some qualitative behavior of the solutions of the difference equation

We obtain a set of sufficient conditions under which all positive solutions of the nonlinear delay difference equation xâ€ž+l = xâ€žf(xn_k), n = 0,1,2,..., are attracted to the positive equilibrium ofâ€¦ (More)