On Stability Analysis of Higher-Order Rational Difference Equation
Joint Authors
Khan, A. Q.
Noorani, Mohd Salmi Md.
Alayachi, H. S.
Khaliq, A.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we study the equilibrium points, local asymptotic stability of equilibrium points, global behavior of equilibrium points, boundedness and periodicity of the rational recursive sequence wn+1=wn−pα+βwn/γwn+δwn−r, where γwn≠−δwn−r for r∈0,∞, α, β, γ, δ∈0,∞, and r>p≥0.
With initial values w−p,w−p+1,…,w−r,w−r+1,…,w−1, and w0 are positive real numbers.
Some numerical examples are given to verify our theoretical results.
American Psychological Association (APA)
Khaliq, A.& Alayachi, H. S.& Noorani, Mohd Salmi Md.& Khan, A. Q.. 2020. On Stability Analysis of Higher-Order Rational Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1152955
Modern Language Association (MLA)
Khaliq, A.…[et al.]. On Stability Analysis of Higher-Order Rational Difference Equation. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1152955
American Medical Association (AMA)
Khaliq, A.& Alayachi, H. S.& Noorani, Mohd Salmi Md.& Khan, A. Q.. On Stability Analysis of Higher-Order Rational Difference Equation. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1152955
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152955