Local Dynamics and Global Stability of Certain Second-Order Rational Difference Equation with Quadratic Terms-Reference-Cited by-同舟云学术

Local Dynamics and Global Stability of Certain Second-Order Rational Difference Equation with Quadratic Terms

Published:2016 Issue: Volume:2016 Page:1-14
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Hrustić S. Jašarević¹,Kulenović M. R. S.²,Nurkanović M.¹

Affiliation:

1. Department of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and Herzegovina

2. Department of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USA

Abstract

We present a complete local dynamics and investigate the global dynamics of the following second-order difference equation:xn+1=Axn2+Exn-1+F/axn2+exn-1+f, n=0,1,2,…, where the parametersA,E,F,a,e, andfare nonnegative numbers with conditionA+E+F>0,a+e+f>0, and the initial conditionsx-1,x0are arbitrary nonnegative numbers such thataxn2+exn-1+f>0, n=0,1,2,….

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2016/3716042.pdf

Reference20 articles.

1. Undergraduate Texts in Mathematics,2005

2. Global dynamics of quadratic second order difference equation in the first quadrant

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