A periodically forced Beverton-Holt equation

TLDR: In this paper, the Beverton-Holt equation is modified for population dynamics, where the constant carrying capacity of a population is replaced by a periodic sequence of positive carrying capacities.

Abstract: has a unique positive equilibrium K and all solutions with x0 . 0 approach K as t !1: This equation (known as the Beverton–Holt equation) arises in applications to population dynamics, and in that context K is the “carrying capacity” and r is the “inherent growth rate”. A modification of this equation that arises in the study of populations living in a periodically (seasonally) fluctuating environment replaces the constant carrying capacity K by a periodic sequence Kt of positive carrying capacities.