The dynamics of some discrete population models

Global attractivity in nonlinear delay difference equations

“…Some powerful and elegant global stability results for difference equations were recently obtained by Karakostas, Philos, and Sficas [2]; however, their range of applicability is different from the results in this paper.…”

On a difference equation with min‐max response

“…Let (x n ) be a solution. From Theorem 3.1, the solution is bounded, thus there are two-sided sequences, (y m ) (upper full limiting sequence) and (z m ) (lower full limiting sequence) of (x n ) (see, e.g., [3,4,5]), satisfying (1.6), for all integers m, and such that…”

Convergence to equilibria in discrete population models

“…Equation (1.1) is not only interesting by itself, but also as the discretization of an extensively studied family of delay differential equations, namely Relations between equations (1.1) and (1.2) can be found, for example, in refs. [1,10]. For processes modeled by equation (1.2), the reader can find many examples in the interesting list in [8, p. 78], including models in neurophysiology, metabolic regulation and agricultural commodity markets.…”