Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 37264, 5 pages
doi:10.1155/DDNS/2006/37264

A short proof of the Cushing-Henson conjecture

Stevo Stević

Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, Beograd 11000, Serbia

Abstract

We give a short proof of the Cushing-Henson conjecture concerning Beverton-Holt difference equation, which is important in theoretical ecology. The main result shows that a periodic environment is always deleterious for populations modeled by the Beverton-Holt difference equation.