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Arab Journal of Basic and Applied Sciences Volume 27, 2020 - Issue 1
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Review Article

Stability analysis for a rational difference equation

M. B. Almatrafia Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-6859-2028
ORCID Icon &
Marwa M. Alzubaidib Department of Mathematics, College of Duba, University of Tabuk, Tabuk, Saudi Arabia
Pages 114-120 | Received 09 Oct 2019, Accepted 17 Jan 2020, Published online: 01 Apr 2020

Figures & data

Figure 1. Local asymptotic behaviour.

Figure 1. Local asymptotic behaviour.

Figure 2. Global nature about the equilibrium.

Figure 2. Global nature about the equilibrium.

Figure 3. The behaviour of EquationEquation (11) at x−6=0.3,x−5=−0.2,x−4=0.5,x−3=−1,x−2=1,x−1=−5,x0=5.

Figure 3. The behaviour of EquationEquation (11)(11) xn+1=xn−1−xn−1xn−4xn−4+xn−6,,(11) at x−6=0.3,x−5=−0.2,x−4=0.5,x−3=−1,x−2=1,x−1=−5,x0=5.

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