Article
The Beverton-Holt Dynamic Equation
Applicable Analysis
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
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2007 Taylor & Francis Ltd., All rights reserved.
Publication Date
8-1-2007
Publication Date
01 Aug 2007
Disciplines
Citation Information
Howard Warth and Martin Bohner. "The Beverton-Holt Dynamic Equation" Applicable Analysis (2007) ISSN: 0003-6811 Available at: http://works.bepress.com/martin-bohner/111/