Global Dynamical Properties of Rational Higher-Order System of Difference Equations
Joint Authors
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
2020-07-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, global dynamical properties of rational higher-order system are explored in the interior of ℝ+3.
It is explored that under certain parametric conditions, the discrete-time system has at most eight equilibria.
By the method of linearization, local dynamics has been explored.
It is explored that positive solution of the system is bounded, and moreover fixed point P000 is globally stable if α1/α2<1, α4/α5<1, α7/α8<1.
It is also investigated that the positive solution of the system under consideration converges to P000.
Lastly, theoretical results are confirmed by numerical simulation.
The presented work is significantly extended and improves current results in the literature.
American Psychological Association (APA)
Khan, A. Q.& Qureshi, S. M.. 2020. Global Dynamical Properties of Rational Higher-Order System of Difference Equations. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1152995
Modern Language Association (MLA)
Khan, A. Q.& Qureshi, S. M.. Global Dynamical Properties of Rational Higher-Order System of Difference Equations. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1152995
American Medical Association (AMA)
Khan, A. Q.& Qureshi, S. M.. Global Dynamical Properties of Rational Higher-Order System of Difference Equations. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1152995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152995