Affiliation:
1. Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, Lahore Campus, Pakistan
2. School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi Selangor, Malaysia
3. Departement of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan
Abstract
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.
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