title: The Beverton-Holt q-difference equation.
abstract: The Beverton-Holt model is a classical population model which has been considered in the literature for the discrete-time case. Its continuous-time analogue is the well-known logistic model. In this paper, we consider a quantum calculus analogue of the Beverton-Holt equation. We use a recently introduced concept of periodic functions in quantum calculus in order to study the existence of periodic solutions of the Beverton-Holt q-difference equation. Moreover, we present proofs of quantum calculus versions of two so-called Cushing-Henson conjectures.
authors.affiliation: Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA. bohner@mst.edu
authors.forename: Martin
authors.initials: M
authors.lastname: Bohner
authors.forename: Rotchana
authors.initials: R
authors.lastname: Chieochan
mesh_terms: D000818:Animals; D016015:Logistic Models; D055641:Mathematical Concepts; D008954:Models, Biological; D010507:Periodicity; D011158:Population Growth