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| Title: | The Beverton-Holt dynamic equation |
| Author (s): | Bohner, Martin Warth, Howard |
| Department/Lab Affiliations: | Mathematics & Statistics |
| Keywords: | 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 |
| Issue Date: | 2007-08 |
| Publisher: | Taylor and Francis Ltd. |
| Citation: | Bohner, Martin., and Warth, Howard. "The Beverton–Holt Dynamic Equation." Applicable Analysis, vol. 86, no. 8, (2007). |
| 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. |
| Type: | Article - Journal text |
| In Title: | Applicable Analysis |
| Copyright Notice: | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. FULL COPYRIGHT INFORMATION: |
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| title | The Beverton-Holt dynamic equation |
| contributor.author | Bohner, Martin |
| contributor.author | Warth, Howard |
| contributor.deptlab | Mathematics & Statistics |
| subject | Complex Variables |
| subject | Computational Numerical Analysis |
| subject | Differential Equations |
| subject | Fourier Analysis |
| subject | Functional Analysis |
| subject | Integral Transforms & Equations |
| subject | Mathematical Analysis |
| subject | Mathematical Numerical Analysis |
| subject | Operator Theory |
| subject | Real Functions |
| subject | Sequences & Series |
| subject | Special Functions |
| date.issued | 2007-08 |
| publisher | Taylor and Francis Ltd. |
| identifier.citation | Bohner, Martin., and Warth, Howard. "The Beverton–Holt Dynamic Equation." Applicable Analysis, vol. 86, no. 8, (2007). |
| identifier.pub.URI | |
| description.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. |
| type | Article - Journal |
| type.DCMIType | text |
| type.status | Final version |
| rights | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. |
| rights.URI | |
| relation.isPartOf | Applicable Analysis |
| date.accessioned | 2007-04-11T17:00:48Z |
| date.available | 2008-04-25T14:47:09Z |
| identifier.persist.URI |