Title

A Nonautonomous Beverton-Holt Equation of Higher Order

Abstract

In this paper, we discuss a certain nonautonomous Beverton-Holt equation of higher order. After a brief introduction to the classical Beverton-Holt equation and recent results, we solve the higher-order Beverton-Holt equation by rewriting the recurrence relation as a difference system of order one. In this process, we examine the existence and uniqueness of a periodic solution and its global attractivity. We continue our analysis by studying the corresponding second Cushing-Henson conjecture, i.e., by relating the average of the unique periodic solution to the average of the carrying capacity.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Beverton-Holt equation; Logistic substitution; Matrix difference system; Periodic environment; Periodic solution

International Standard Serial Number (ISSN)

0022-247X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 Academic Press Inc., All rights reserved.

Publication Date

01 Jan 2018

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