Abstract
In this paper, we study the dynamics of population models of the form x(n+1) = x(n)f(x(n-1)) under the effect of constant yield harvesting. Results concerning stability, boundedness, persistence and oscillations of solutions are given. Also, some regions of persistence and extinction are characterized. Pielous equation was considered as an example on these models, and a connection with a Lyness type equation has been established at certain harvesting level, which is used to give an explicit description of a persistent set. (c) 2013 Elsevier Ltd. All rights reserved.