The Beverton-Holt Dynamic Equation

Abstract

The Cushing-Henson conjectures on time scales are presented and verified. The central part of these conjectures asserts that based on a model using the dynamic Beverton-Holt equation, a periodic environment is deleterious for the population. The proof technique is as follows. First, the Beverton-Holt equation is identified as a logistic dynamic equation. The usual substitution transforms this equation into a linear equation. Then the proof is completed using a recently established dynamic version of the generalized Jensen inequality.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Complex Variables; Computational Numerical Analysis; Differential Equations; Fourier Analysis; Functional Analysis; Integral Transforms & Equations; Mathematical Analysis; Mathematical Numerical Analysis; Operator Theory; Real Functions; Sequences & Series; Special Functions

International Standard Serial Number (ISSN)

0003-6811

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 Taylor & Francis Ltd., All rights reserved.

Publication Date

01 Aug 2007

Link to Full Text

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