article · Applicable Analysis · 2007

The Beverton–Holt dynamic equation

Cited by 48Abstract and details only

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.

Cite this paper

APA 7

Böhner, M., & Warth, H. (2007). The Beverton–Holt dynamic equation. Applicable Analysis, 86(8), 1007–1015. https://doi.org/10.1080/00036810701474140

MLA 9

Böhner, Martin, and Howard Warth. “The Beverton–Holt dynamic equation.” Applicable Analysis, vol. 86, no. 8, 2007, pp. 1007–15, https://doi.org/10.1080/00036810701474140.

Chicago

Böhner, Martin, and Howard Warth. 2007. “The Beverton–Holt dynamic equation.” Applicable Analysis 86 (8): 1007–15. https://doi.org/10.1080/00036810701474140.

Harvard

Böhner, M. and Warth, H. (2007) ‘The Beverton–Holt dynamic equation’, Applicable Analysis, 86(8), pp. 1007–1015. Available at: https://doi.org/10.1080/00036810701474140.

BibTeX

@article{bohner2007beverton,
  title = {{The Beverton–Holt dynamic equation}},
  author = {Böhner, Martin and Warth, Howard},
  journal = {Applicable Analysis},
  volume = {86},
  number = {8},
  pages = {1007--1015},
  year = {2007},
  doi = {10.1080/00036810701474140}
}

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