Global Dynamics of Delayed Sigmoid Beverton–Holt Equation
Joint Authors
Kulenovic, Mustafa R. S.
Khyat, Toufik
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 xn+1=fxn,xn−1, n=0,1,…, where f is decreasing in the variable xn and increasing in the variable xn−1.
As a case study, we use the difference equation xn+1=xn−12/cxn−12+dxn+f, n=0,1,…, where the initial conditions x−1,x0≥0 and the parameters satisfy c,d,f>0.
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.
American Psychological Association (APA)
Khyat, Toufik& Kulenovic, Mustafa R. S.. 2020. Global Dynamics of Delayed Sigmoid Beverton–Holt Equation. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1152811
Modern Language Association (MLA)
Khyat, Toufik& Kulenovic, Mustafa R. S.. Global Dynamics of Delayed Sigmoid Beverton–Holt Equation. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1152811
American Medical Association (AMA)
Khyat, Toufik& Kulenovic, Mustafa R. S.. Global Dynamics of Delayed Sigmoid Beverton–Holt Equation. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1152811
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152811