On Stability Analysis of Higher-Order Rational Difference Equation
Keyword(s):
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.
2014 ◽
Vol 2014
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pp. 1-11
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2016 ◽
Vol 09
(02)
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pp. 1650021
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2019 ◽
2013 ◽
Vol 2013
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pp. 1-6
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2010 ◽
Vol 47
(3)
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pp. 401-418
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