A Nonautonomous Beverton-Holt Equation of Higher Order
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.
M. Bohner et al., "A Nonautonomous Beverton-Holt Equation of Higher Order," Journal of Mathematical Analysis and Applications, vol. 457, no. 1, pp. 114 - 133, Academic Press Inc., Jan 2018.
The definitive version is available at https://doi.org/10.1016/j.jmaa.2017.07.051
Mathematics and Statistics
Keywords and Phrases
Beverton-Holt equation; Logistic substitution; Matrix difference system; Periodic environment; Periodic solution
International Standard Serial Number (ISSN)
Article - Journal
© 2018 Academic Press Inc., All rights reserved.
01 Jan 2018