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. © 2013 The Author(s). Published by Taylor & Francis.
Recommended Citation
M. Bohner and R. Chieochan, "The Beverton–holt Q-difference Equation," Journal of Biological Dynamics, vol. 7, no. 1, pp. 86 - 95, Taylor and Francis Group; Taylor and Francis, Jan 2013.
The definitive version is available at https://doi.org/10.1080/17513758.2013.804599
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
Beverton–Holt equation; Cushing–Henson conjecture; Dynamic equation; Jensen inequality; Logistic equation; Time scale
International Standard Serial Number (ISSN)
1751-3766; 1751-3758
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Publication Date
01 Jan 2013
PubMed ID
23768118
