Global Dynamics of Delayed Sigmoid Beverton–Holt Equation

Toufik Khyat and M. R. S. Kulenović

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-15

Abstract:

In this paper, certain dynamic scenarios for general competitive maps in the plane are presented and applied to some cases of second-order difference equation , where is decreasing in the variable and increasing in the variable . As a case study, we use the difference equation , where the initial conditions and the parameters satisfy . In this special case, we characterize completely the global dynamics of this equation by finding the basins of attraction of its equilibria and periodic solutions. We describe the global dynamics as a sequence of global transcritical or period-doubling bifurcations.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2020/1364282.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2020/1364282.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:1364282

DOI: 10.1155/2020/1364282

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().